Log in

Relevant bibliographies by topics / Functional equilibrium equations

Contents

Journal articles
Dissertations / Theses
Books
Book chapters
Conference papers

Academic literature on the topic 'Functional equilibrium equations'

Author: Grafiati

Published: 4 June 2021

Last updated: 18 February 2022

Create a spot-on reference in APA, MLA, Chicago, Harvard, and other styles

Select a source type:

Consult the lists of relevant articles, books, theses, conference reports, and other scholarly sources on the topic 'Functional equilibrium equations.'

Next to every source in the list of references, there is an 'Add to bibliography' button. Press on it, and we will generate automatically the bibliographic reference to the chosen work in the citation style you need: APA, MLA, Harvard, Chicago, Vancouver, etc.

You can also download the full text of the academic publication as pdf and read online its abstract whenever available in the metadata.

Journal articles on the topic "Functional equilibrium equations"

1

Murakami, Satoru. "Stable equilibrium point of some diffusive functional differential equations." Nonlinear Analysis: Theory, Methods & Applications 25, no. 9-10 (November 1995): 1037–43. http://dx.doi.org/10.1016/0362-546x(95)00097-f.

Full text

APA, Harvard, Vancouver, ISO, and other styles

2

Tian, Xiaohong, and Rui Xu. "Global dynamics of a predator-prey system with Holling type II functional response." Nonlinear Analysis: Modelling and Control 16, no. 2 (April 25, 2011): 242–53. http://dx.doi.org/10.15388/na.16.2.14109.

Full text

Abstract:

In this paper, a predator-prey system with Holling type II functional response and stage structure is investigated. By analyzing the corresponding characteristic equations, the local stability of each of feasible equilibria of the system is studied. The existence of the orbitally asymptotically stable periodic solution is established. By using suitable Lyapunov functions and the LaSalle invariance principle, it is proven that the predator-extinction equilibrium is globally asymptotically stable when the coexistence equilibrium is not feasible, and sufficient conditions are derived for the glob

APA, Harvard, Vancouver, ISO, and other styles

3

Lotfi, El Mehdi, Mehdi Maziane, Khalid Hattaf, and Noura Yousfi. "Partial Differential Equations of an Epidemic Model with Spatial Diffusion." International Journal of Partial Differential Equations 2014 (February 10, 2014): 1–6. http://dx.doi.org/10.1155/2014/186437.

Full text

Abstract:

The aim of this paper is to study the dynamics of a reaction-diffusion SIR epidemic model with specific nonlinear incidence rate. The global existence, positivity, and boundedness of solutions for a reaction-diffusion system with homogeneous Neumann boundary conditions are proved. The local stability of the disease-free equilibrium and endemic equilibrium is obtained via characteristic equations. By means of Lyapunov functional, the global stability of both equilibria is investigated. More precisely, our results show that the disease-free equilibrium is globally asymptotically stable if the ba

APA, Harvard, Vancouver, ISO, and other styles

4

Meng, Xin-You, and Jiao-Guo Wang. "Analysis of a delayed diffusive model with Beddington–DeAngelis functional response." International Journal of Biomathematics 12, no. 04 (May 2019): 1950047. http://dx.doi.org/10.1142/s1793524519500475.

Full text

Abstract:

In this paper, a delayed diffusive phytoplankton-zooplankton model with Beddington–DeAngelis functional response and toxins is investigated. Existence of equilibria of the system are solved. The global asymptotic stability of the zooplankton-free equilibrium is obtained. The local stability of the coexistent equilibrium and existence of Hopf bifurcation are discussed. In addition, the properties of the Hopf bifurcation are studied based on the center manifold and normal form theory for partial differential equations. Finally, some numerical simulations are also carried out to confirm our theor

APA, Harvard, Vancouver, ISO, and other styles

5

BENKHALTI, R., and K. EZZINBI. "A HARTMAN-GROBMAN THEOREM FOR SOME PARTIAL FUNCTIONAL DIFFERENTIAL EQUATIONS." International Journal of Bifurcation and Chaos 10, no. 05 (May 2000): 1165–69. http://dx.doi.org/10.1142/s0218127400000839.

Full text

Abstract:

We show that the flow of some partial functional differential equations has a global attractor. As a conseqsuence we prove that the flow near a hyperbolic equilibrium is equivalent to its variational equation.

APA, Harvard, Vancouver, ISO, and other styles

6

Arora, Vivek K., and George J. Boer. "Simulating Competition and Coexistence between Plant Functional Types in a Dynamic Vegetation Model." Earth Interactions 10, no. 10 (May 1, 2006): 1–30. http://dx.doi.org/10.1175/ei170.1.

Full text

Abstract:

Abstract The global distribution of vegetation is broadly determined by climate, and where bioclimatic parameters are favorable for several plant functional types (PFTs), by the competition between them. Most current dynamic global vegetation models (DGVMs) do not, however, explicitly simulate inter-PFT competition and instead determine the existence and fractional coverage of PFTs based on quasi-equilibrium climate–vegetation relationships. When competition is explicitly simulated, versions of Lotka–Volterra (LV) equations developed in the context of interaction between animal species are alm

APA, Harvard, Vancouver, ISO, and other styles

7

Faria, Teresa, and Luis T. Magalhães. "Realisation of ordinary differential equations by retarded functional differential equations in neighbourhoods of equilibrium points." Proceedings of the Royal Society of Edinburgh: Section A Mathematics 125, no. 4 (1995): 759–76. http://dx.doi.org/10.1017/s030821050003033x.

Full text

Abstract:

This paper addresses the realisation of ordinary differential equations (ODEs) by retarded functional differential equations (FDEs) in finite-dimensional invariant manifolds, locally around equilibrium points. A necessary and sufficient condition for realisability of C1 vector fields is established in terms of their linearisations at the equilibrium.It is also shown that any arbitrary finite jet of vector fields of ODEs can be realised without any further restrictions than those imposed by the realisability of its linear term, a fact of relevance for discussing the flows defined by FDEs around

APA, Harvard, Vancouver, ISO, and other styles

8

Wang, Hanxiao, and Jiongmin Yong. "Time-inconsistent stochastic optimal control problems and backward stochastic volterra integral equations." ESAIM: Control, Optimisation and Calculus of Variations 27 (2021): 22. http://dx.doi.org/10.1051/cocv/2021027.

Full text

Abstract:

An optimal control problem is considered for a stochastic differential equation with the cost functional determined by a backward stochastic Volterra integral equation (BSVIE, for short). This kind of cost functional can cover the general discounting (including exponential and non-exponential) situations with a recursive feature. It is known that such a problem is time-inconsistent in general. Therefore, instead of finding a global optimal control, we look for a time-consistent locally near optimal equilibrium strategy. With the idea of multi-person differential games, a family of approximate

APA, Harvard, Vancouver, ISO, and other styles

9

MOAWAD, S. M. "Linear and nonlinear stability criteria for compressible MHD flows in a gravitational field." Journal of Plasma Physics 79, no. 5 (June 14, 2013): 873–83. http://dx.doi.org/10.1017/s0022377813000627.

Full text

Abstract:

AbstractThe equilibrium and stability properties of ideal magnetohydrodynamics (MHD) of compressible flow in a gravitational field with a translational symmetry are investigated. Variational principles for the steady-state equations are formulated. The MHD equilibrium equations are obtained as critical points of a conserved Lyapunov functional. This functional consists of the sum of the total energy, the mass, the circulation along field lines (cross helicity), the momentum, and the magnetic helicity. In the unperturbed case, the equilibrium states satisfy a nonlinear second-order partial diff

APA, Harvard, Vancouver, ISO, and other styles

10

Hénot, Olivier. "On polynomial forms of nonlinear functional differential equations." Journal of Computational Dynamics 8, no. 3 (2021): 307. http://dx.doi.org/10.3934/jcd.2021013.

Full text

Abstract:

<p style='text-indent:20px;'>In this paper we study nonlinear autonomous retarded functional differential equations; that is, functional equations where the time derivative may depend on the past values of the variables. When the nonlinearities in such equations are comprised of elementary functions, we give a constructive proof of the existence of an embedding of the original coordinates yielding a polynomial differential equation. This embedding is a topological conjugacy between the semi-flow of the original differential equation and the semi-flow of the auxiliary polynomial different

APA, Harvard, Vancouver, ISO, and other styles

More sources

Dissertations / Theses on the topic "Functional equilibrium equations"

1

Hamaguchi, Yushi. "Extended backward stochastic Volterra integral equations and their applications to time-inconsistent stochastic recursive control problems." Doctoral thesis, Kyoto University, 2021. http://hdl.handle.net/2433/263434.

Full text

APA, Harvard, Vancouver, ISO, and other styles

2

Allanson, Oliver Douglas. "Theory of one-dimensional Vlasov-Maxwell equilibria : with applications to collisionless current sheets and flux tubes." Thesis, University of St Andrews, 2017. http://hdl.handle.net/10023/11916.

Full text

Abstract:

Vlasov-Maxwell equilibria are characterised by the self-consistent descriptions of the steady-states of collisionless plasmas in particle phase-space, and balanced macroscopic forces. We study the theory of Vlasov-Maxwell equilibria in one spatial dimension, as well as its application to current sheet and flux tube models. The ‘inverse problem' is that of determining a Vlasov-Maxwell equilibrium distribution function self-consistent with a given magnetic field. We develop the theory of inversion using expansions in Hermite polynomial functions of the canonical momenta. Sufficient conditions fo

APA, Harvard, Vancouver, ISO, and other styles

3

Edirisinghe, Pathirannehelage Neranjan S. "Charge Transfer in Deoxyribonucleic Acid (DNA): Static Disorder, Dynamic Fluctuations and Complex Kinetic." Digital Archive @ GSU, 2011. http://digitalarchive.gsu.edu/phy_astr_diss/45.

Full text

Abstract:

The fact that loosely bonded DNA bases could tolerate large structural fluctuations, form a dissipative environment for a charge traveling through the DNA. Nonlinear stochastic nature of structural fluctuations facilitates rich charge dynamics in DNA. We study the complex charge dynamics by solving a nonlinear, stochastic, coupled system of differential equations. Charge transfer between donor and acceptor in DNA occurs via different mechanisms depending on the distance between donor and acceptor. It changes from tunneling regime to a polaron assisted hopping regime depending on the donor-acc

APA, Harvard, Vancouver, ISO, and other styles

4

Arhinful, Daniel Andoh. "Lorenzův systém: cesta od stability k chaosu." Master's thesis, Vysoké učení technické v Brně. Fakulta strojního inženýrství, 2020. http://www.nusl.cz/ntk/nusl-417087.

Full text

Abstract:

The theory of deterministic chaos has generated a lot of interest and continues to be one of the much-focused research areas in the field of dynamics today. This is due to its prevalence in essential parts of human lives such as electrical circuits, chemical reactions, the flow of blood through the human system, the weather, etc. This thesis presents a study of the Lorenz equations, a famous example of chaotic systems. In particular, it presents the analysis of the Lorenz equations from stability to chaos and various bifurcation scenarios with numerical and graphical interpretations. It studie

APA, Harvard, Vancouver, ISO, and other styles

5

Connell, R. J. "Unstable equilibrium : modelling waves and turbulence in water flow." Diss., Lincoln University, 2008. http://hdl.handle.net/10182/592.

Full text

Abstract:

This thesis develops a one-dimensional version of a new data driven model of turbulence that uses the KL expansion to provide a spectral solution of the turbulent flow field based on analysis of Particle Image Velocimetry (PIV) turbulent data. The analysis derives a 2nd order random field over the whole flow domain that gives better turbulence properties in areas of non-uniform flow and where flow separates than the present models that are based on the Navier-Stokes Equations. These latter models need assumptions to decrease the number of calculations to enable them to run on present day compu

APA, Harvard, Vancouver, ISO, and other styles

6

Hoffmann, Franca Karoline Olga. "Keller-Segel-type models and kinetic equations for interacting particles : long-time asymptotic analysis." Thesis, University of Cambridge, 2017. https://www.repository.cam.ac.uk/handle/1810/269646.

Full text

Abstract:

This thesis consists of three parts: The first and second parts focus on long-time asymptotics of macroscopic and kinetic models respectively, while in the third part we connect these regimes using different scaling approaches. (1) Keller–Segel-type aggregation-diffusion equations: We study a Keller–Segel-type model with non-linear power-law diffusion and non-local particle interaction: Does the system admit equilibria? If yes, are they unique? Which solutions converge to them? Can we determine an explicit rate of convergence? To answer these questions, we make use of the special gradient flow

APA, Harvard, Vancouver, ISO, and other styles

7

Pimentel, Edgard Almeida. "Um ensaio em teoria dos jogos." Universidade de São Paulo, 2010. http://www.teses.usp.br/teses/disponiveis/45/45132/tde-31082010-091851/.

Full text

Abstract:

Esta dissertação aborda a teoria dos jogos diferenciais em sua estreita relação com a teoria das equações de Hamilton-Jacobi (HJ). Inicialmente, uma revisão da noção de solução em teoria dos jogos é empreendida. Discutem-se nesta ocasião as idéias de equilíbrio de Nash e alguns de seus refinamentos. Em seguida, tem lugar uma introdução à teoria dos jogos diferenciais, onde noções de solução como a função de valor de Isaacs e de Friedman são discutidas. É nesta altura do trabalho que fica evidente a conexão entre este conceito de solução e a teoria das equações de Hamilton-Jacobi. Por ocasião d

APA, Harvard, Vancouver, ISO, and other styles

8

Carrapatoso, Kléber. "Théorèmes asymptotiques pour les équations de Boltzmann et de Landau." Phd thesis, Université Paris Dauphine - Paris IX, 2013. http://tel.archives-ouvertes.fr/tel-00920455.

Full text

Abstract:

Nous nous intéressons dans cette thèse à la théorie cinétique et aux systèmes de particules dans le cadre des équations de Boltzmann et Landau. Premièrement, nous étudions la dérivation des équations cinétiques comme des limites de champ moyen des systèmes de particules, en utilisant le concept de propagation du chaos. Plus précisément, nous étudions les probabilités chaotiques sur l'espace de phase de ces systèmes de particules : la sphère de Boltzmann, qui correspond à l'espace de phase d'un système de particules qui évolue conservant le moment et l'énergie ; et la sphère de Kac, corresponda

APA, Harvard, Vancouver, ISO, and other styles

9

Campos, Serrano Juan. "Modèles attractifs en astrophysique et biologie : points critiques et comportement en temps grand des solutions." Phd thesis, Université Paris Dauphine - Paris IX, 2012. http://tel.archives-ouvertes.fr/tel-00861568.

Full text

Abstract:

Dans cette thèse, nous étudions l'ensemble des solutions d'équations aux dérivées partielles résultant de modèles d'astrophysique et de biologie. Nous répondons aux questions de l'existence, mais aussi nous essayons de décrire le comportement de certaines familles de solutions lorsque les paramètres varient. Tout d'abord, nous étudions deux problèmes issus de l'astrophysique, pour lesquels nous montrons l'existence d'ensembles particuliers de solutions dépendant d'un paramètre à l'aide de la méthode de réduction de Lyapunov-Schmidt. Ensuite un argument de perturbation et le théorème du Point x

APA, Harvard, Vancouver, ISO, and other styles

10

Dore-Hall, Skye. "Ramp function approximations of Michaelis-Menten functions in biochemical dynamical systems." Thesis, 2020. http://hdl.handle.net/1828/12485.

Full text

Abstract:

In 2019, Adams, Ehlting, and Edwards developed a four-variable system of ordinary differential equations modelling phenylalanine metabolism in plants according to Michaelis-Menten kinetics. Analysis of the model suggested that when a series of reactions known as the Shikimate Ester Loop (SEL) is included, phenylalanine flux into primary metabolic pathways is prioritized over flux into secondary metabolic pathways when the availability of shikimate, a phenylalanine precursor, is low. Adams et al. called this mechanism of metabolic regulation the Precursor Shutoff Valve (PSV). Here, we attempt t

APA, Harvard, Vancouver, ISO, and other styles

Books on the topic "Functional equilibrium equations"

1

1973-, Warzel Simone, ed. Random operators: Disorder effects on quantum spectra and dynamics. Providence, Rhode Island: American Mathematical Society, 2015.

Find full text

APA, Harvard, Vancouver, ISO, and other styles

2

Algebraic aspects of Darboux transformations, quantum integrable systems, and supersymmetric quantum mechanics. Providence, R.I: American Mathematical Society, 2012.

Find full text

APA, Harvard, Vancouver, ISO, and other styles

3

Horing, Norman J. Morgenstern. Non-Equilibrium Green’s Functions: Variational Relations and Approximations for Particle Interactions. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198791942.003.0009.

Full text

Abstract:

Chapter 09 Nonequilibrium Green’s functions (NEGF), including coupled-correlated (C) single- and multi-particle Green’s functions, are defined as averages weighted with the time-development operator U(t0+τ,t0). Linear conductivity is exhibited as a two-particle equilibrium Green’s function (Kubo-type formulation). Admitting particle sources (S:η,η+) and non-conservation of number, the non-equilibrium multi-particle Green’s functions are constructed with numbers of creation and annihilation operators that may differ, and they may be derived as variational derivatives with respect to sources η,η

APA, Harvard, Vancouver, ISO, and other styles

4

Morawetz, Klaus. Nonequilibrium Green’s Functions. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198797241.003.0007.

Full text

Abstract:

The method of the equation of motion is used to derive the Martin–Schwinger hierarchy for the nonequilibrium Green’s functions. The formal closure of the hierarchy is reached by using the selfenergy which provides a recipe for how to construct selfenergies from approximations of the two-particle Green’s function. The Langreth–Wilkins rules for a diagrammatic technique are shown to be equivalent to the weakening of initial correlations. The quantum transport equations are derived in the general form of Kadanoff and Baym equations. The information contained in the Green’s function is discussed.

APA, Harvard, Vancouver, ISO, and other styles

5

Mann, Peter. Near-Integrable Systems. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198822370.003.0024.

Full text

Abstract:

This chapter extends the now familiar Lagrangian formulation to a field theory and covers elementary material in this new setting. The motion of systems with a very large number of degrees of freedom makes it necessary to specify an almost infinite number of discrete coordinates. It is possible to simplify the situation by taking the continuum limit, which replaces the individual coordinates with a continuous function that describes a displacement field, which assigns a displacement vector to each position the system could occupy relative to an equilibrium configuration. The field thus takes a

APA, Harvard, Vancouver, ISO, and other styles

6

Horing, Norman J. Morgenstern. Quantum Statistical Field Theory. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198791942.001.0001.

Full text

Abstract:

The methods of coupled quantum field theory, which had great initial success in relativistic elementary particle physics and have subsequently played a major role in the extensive development of non-relativistic quantum many-particle theory and condensed matter physics, are at the core of this book. As an introduction to the subject, this presentation is intended to facilitate delivery of the material in an easily digestible form to students at a relatively early stage of their scientific development, specifically advanced undergraduates (rather than second or third year graduate students), wh

APA, Harvard, Vancouver, ISO, and other styles

7

Batterman, Robert W. A Middle Way. Oxford University Press, 2021. http://dx.doi.org/10.1093/oso/9780197568613.001.0001.

Full text

Abstract:

This book focuses on a method for exploring, explaining, and understanding the behavior of large many-body systems. It describes an approach to non-equilibrium behavior that focuses on structures (represented by correlation functions) that characterize mesoscale properties of the systems. In other words, rather than a fully bottom-up approach, starting with the components at the atomic or molecular scale, the “hydrodynamic approach” aims to describe and account for continuum behaviors by largely ignoring details at the “fundamental” level. This methodological approach has its origins in Einste

APA, Harvard, Vancouver, ISO, and other styles

Book chapters on the topic "Functional equilibrium equations"

1

Hale, Jack K., and Sjoerd M. Verduyn Lunel. "Near equilibrium and periodic orbits." In Introduction to Functional Differential Equations, 302–30. New York, NY: Springer New York, 1993. http://dx.doi.org/10.1007/978-1-4612-4342-7_11.

Full text

APA, Harvard, Vancouver, ISO, and other styles

2

Noor, Muhammad A., and Themistocles M. Rassias. "Some New Algorithms for Solving General Equilibrium Problems." In Handbook of Functional Equations, 407–17. New York, NY: Springer New York, 2014. http://dx.doi.org/10.1007/978-1-4939-1246-9_17.

Full text

APA, Harvard, Vancouver, ISO, and other styles

3

Shaikhet, Leonid. "Stability of SIR Epidemic Model Equilibrium Points." In Lyapunov Functionals and Stability of Stochastic Functional Differential Equations, 283–96. Heidelberg: Springer International Publishing, 2013. http://dx.doi.org/10.1007/978-3-319-00101-2_11.

Full text

APA, Harvard, Vancouver, ISO, and other styles

4

Shaikhet, Leonid. "Stability of Equilibrium Points of Nicholson’s Blowflies Equation with Stochastic Perturbations." In Lyapunov Functionals and Stability of Stochastic Functional Differential Equations, 251–56. Heidelberg: Springer International Publishing, 2013. http://dx.doi.org/10.1007/978-3-319-00101-2_9.

Full text

APA, Harvard, Vancouver, ISO, and other styles

5

Shaikhet, Leonid. "Stability of Positive Equilibrium Point of Nonlinear System of Type of Predator–Prey with Aftereffect and Stochastic Perturbations." In Lyapunov Functionals and Stability of Stochastic Functional Differential Equations, 257–82. Heidelberg: Springer International Publishing, 2013. http://dx.doi.org/10.1007/978-3-319-00101-2_10.

Full text

APA, Harvard, Vancouver, ISO, and other styles

6

Arrigoni, Enrico, and Antonius Dorda. "Master Equations Versus Keldysh Green’s Functions for Correlated Quantum Systems Out of Equilibrium." In Out-of-Equilibrium Physics of Correlated Electron Systems, 121–88. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-94956-7_4.

Full text

APA, Harvard, Vancouver, ISO, and other styles

7

Garrett, Steven L. "Attenuation of Sound." In Understanding Acoustics, 673–98. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-44787-8_14.

Full text

Abstract:

Abstract We will capitalize on our understanding of thermoviscous loss to develop an understanding of the attenuation of sound waves in fluids that are not influenced by proximity to solid surfaces. Such dissipation mechanisms are particularly important at very high frequencies and short distances (for ultrasound) or very low frequencies over geological distances (for infrasound). The Standard Linear Model of viscoelasticity introduced the nondimensional frequency, ωτR, that controlled the medium’s elastic (in-phase) and dissipative (quadrature) responses. Those response curves were “universal” in the sense that causality linked the elastic and dissipative responses through the Kramers-Kronig relations. That relaxation-time perspective is essential for attenuation of sound in media that can be characterized by one or more relaxation times related to those internal degrees of freedom that make their equation of state a function of frequency. Examples of these relaxation-time effects include the rate of collisions between different molecular species in a gas (e.g., nitrogen and water vapor in air), the pressure dependence of ionic association-dissociation of dissolved salts in sea water (e.g., MgSO4 and H3BO3), and evaporation-condensation effects when a fluid is oscillating about equilibrium with its vapor (e.g., fog droplets in air or gas bubbles in liquids).

APA, Harvard, Vancouver, ISO, and other styles

8

Anand, Lallit, and Sanjay Govindjee. "Principles of minimum potential energy and complementary energy." In Continuum Mechanics of Solids, 228–48. Oxford University Press, 2020. http://dx.doi.org/10.1093/oso/9780198864721.003.0012.

Full text

Abstract:

With the displacement field taken as the only fundamental unknown field in a mixed-boundary-value problem for linear elastostatics, the principle of minimum potential energy asserts that a potential energy functional, which is defined as the difference between the free energy of the body and the work done by the prescribed surface tractions and the body forces --- assumes a smaller value for the actual solution of the mixed problem than for any other kinematically admissible displacement field which satisfies the displacement boundary condition. This principle provides a weak or variational method for solving mixed boundary-value-problems of elastostatics. In particular, instead of solving the governing Navier form of the partial differential equations of equilibrium, one can search for a displacement field such that the first variation of the potential energy functional vanishes. A similar principle of minimum complementary energy, which is phrased in terms of statically admissible stress fields which satisfy the equilibrium equation and the traction boundary condition, is also discussed. The principles of minimum potential energy and minimum complementary energy can also be applied to derive specialized principles which are particularly well-suited to solving structural problems; in this context the celebrated theorems of Castigliano are discussed.

APA, Harvard, Vancouver, ISO, and other styles

9

Aruğaslan-Çinçin, Duygu, and Nur Cengiz. "Stability Analysis of a Nonlinear Epidemic Model With Generalized Piecewise Constant Argument." In Emerging Applications of Differential Equations and Game Theory, 182–208. IGI Global, 2020. http://dx.doi.org/10.4018/978-1-7998-0134-4.ch009.

Full text

Abstract:

The authors consider a nonlinear epidemic equation by modeling it with generalized piecewise constant argument (GPCA). The authors investigate invariance region for the considered model. Sufficient conditions guaranteeing the existence and uniqueness of the solutions of the model are given by creating integral equations. An important auxiliary result giving a relation between the values of the unknown function solutions at the deviation argument and at any time t is indicated. By using Lyapunov-Razumikhin method developed by Akhmet and Aruğaslan for the differential equations with generalized piecewise constant argument (EPCAG), the stability of the trivial equilibrium is investigated in addition to the stability examination of the positive equilibrium transformed into the trivial equilibrium. Then sufficient conditions for the uniform stability and the uniform asymptotic stability of trivial equilibrium and the positive equilibrium are given.

APA, Harvard, Vancouver, ISO, and other styles

10

"H-Functional Equation." In A Non-Equilibrium Statistical Mechanics, 33–67. WORLD SCIENTIFIC, 2003. http://dx.doi.org/10.1142/9789812795199_0003.

Full text

APA, Harvard, Vancouver, ISO, and other styles

Conference papers on the topic "Functional equilibrium equations"

1

Vallabhaneni, Ajit K., James Loy, Dhruv Singh, Xiulin Ruan, and Jayathi Murthy. "A Study of Spatially-Resolved Non-Equilibrium in Laser-Irradiated Graphene Using Boltzmann Transport Equation." In ASME 2013 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/imece2013-66095.

Full text

Abstract:

Raman spectroscopy is typically used to characterize graphene in experiments and also to measure properties like thermal conductivity and optical phonon lifetime. The laser-irradiation processes underlying this measurement technique include coupling between photons, electrons and phonons. Recent experimental studies have shown that e-ph scattering limits the performance of graphene-based electronic devices due to the difference in their timescales of relaxation resulting in various bottleneck effects. Furthermore, recently published thermal conductivity measurements on graphene are sensitive t

APA, Harvard, Vancouver, ISO, and other styles

2

Yamada, Takayuki, Toshiro Matsumoto, and Shinji Nishiwaki. "Design of Mechanical Structures Considering Harmonic Loads Using Level Set-Based Topology Optimization." In ASME 2012 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2012. http://dx.doi.org/10.1115/detc2012-70235.

Full text

Abstract:

This paper presents an optimum design method for mechanical structures considering harmonic loads using a level set-based topology optimization method and the Finite Element Method (FEM). First, we briefly discuss the level set-based topology optimization method. Second, a topology optimization problem is formulated for a dynamic elastic design problem using level set boundary expressions. The objective functional is set to minimize the displacement at specific boundaries. Based on this formulation, the topological sensitivities of the objective functional are derived. Next, a topology optimiz

APA, Harvard, Vancouver, ISO, and other styles

3

Ryckelynck, David. "Multidimensional Hyper-Reduction of Large Mechanical Models Involving Internal Variables." In ASME 2012 11th Biennial Conference on Engineering Systems Design and Analysis. American Society of Mechanical Engineers, 2012. http://dx.doi.org/10.1115/esda2012-82971.

Full text

Abstract:

We propose to incorporate a Response Surface (RS) approximation of variables over a parametric domain into a weak form of parametric Partial Differential Equations (PDEs). Hence a multidimensional model-reduction can be achieved. We propose a multidimensional a priori model reduction method to generate or to enrich RSs. It is coined multidimensional because the fields to forecast are defined over an augmented domain in term of dimension. They are functions of both space variables and parameters that simultaneously evolve in time. This changes the functional space related to the weak form of th

APA, Harvard, Vancouver, ISO, and other styles

4

Yang, Longxiang, and Stanley G. Hutton. "Numerical Formulation of Nonlinear Vibrations of Elastically-Constrained Rotating Disks." In ASME 1995 Design Engineering Technical Conferences collocated with the ASME 1995 15th International Computers in Engineering Conference and the ASME 1995 9th Annual Engineering Database Symposium. American Society of Mechanical Engineers, 1995. http://dx.doi.org/10.1115/detc1995-0322.

Full text

Abstract:

Abstract An analysis of nonlinear vibrations of an elastically-constrained rotating disk is developed. The equations of motion, which are two coupled nonlinear partial differential equations corresponding to the transverse force equilibrium and to the deformation compatibility, are first developed by using von Karman thin plate theory. Then the stress function is analytically solved from the compatibility equation by assuming a multi-mode transverse displacement field. Galerkin’s method is applied to transform the force equilibrium equation into a set of coupled nonlinear ordinary differential

APA, Harvard, Vancouver, ISO, and other styles

5

Grover, Piyush. "Stability Analysis in Mean-Field Games via an Evans Function Approach." In ASME 2018 Dynamic Systems and Control Conference. American Society of Mechanical Engineers, 2018. http://dx.doi.org/10.1115/dscc2018-8926.

Full text

Abstract:

This work is concerned with stability analysis of stationary and time-varying equilibria in a class of mean-field games that relate to multi-agent control problems of flocking and swarming. The mean-field game framework is a non-cooperative model of distributed optimal control in large populations, and characterizes the optimal control for a representative agent in Nash-equilibrium with the population. A mean-field game model is described by a coupled PDE system of forward-in-time Fokker-Planck (FP) equation for density of agents, and a backward-in-time Hamilton-Jacobi-Bellman (HJB) equation f

APA, Harvard, Vancouver, ISO, and other styles

6

Samsam Shariat, B., M. R. Eslami, and A. Bagri. "Thermoelastic Stability of Imperfect Functionally Graded Plates Based on the Third Order Shear Deformation Theory." In ASME 8th Biennial Conference on Engineering Systems Design and Analysis. ASMEDC, 2006. http://dx.doi.org/10.1115/esda2006-95018.

Full text

Abstract:

Thermal buckling analysis of rectangular functionally graded plates with initial geometric imperfections is presented in this paper. It is assumed that the non-homogeneous mechanical properties vary linearly through the thickness of the plate. The plate is assumed to be under various types of thermal loadings, such as the uniform temperature rise and nonlinear temperature gradient through the thickness. A double-sine function for the geometric imperfection along the x and y-directions is considered. The equilibrium equations are derived using the third order shear deformation plate theory. Usi

APA, Harvard, Vancouver, ISO, and other styles

7

Wei, Zhigang, Fulun Yang, Shervin Maleki, and Kamran Nikbin. "Equilibrium Based Curve Fitting Method for Test Data With Nonuniform Variance." In ASME 2012 Pressure Vessels and Piping Conference. American Society of Mechanical Engineers, 2012. http://dx.doi.org/10.1115/pvp2012-78234.

Full text

Abstract:

A recently developed equilibrium based curve/surface fitting method is extended to linear function with heteroscedastic data (variable variance). The concept of equilibrium weighted ‘force’ and ‘moment’ is proposed to derive curve fitting formulae, which are exactly the same as that obtained with the traditional weighted least squares (LS) method for a linear function. Furthermore, a system of four equations, i.e., a “force” equilibrium equation, a “moment” equilibrium equation, a “equivalency” equation, and a “moment balance” equation have been established to solve both mean curve and the sta

APA, Harvard, Vancouver, ISO, and other styles

8

SMOLYANSKY, S. A., V. A. MIZERNY, D. V. VINNIK, A. V. PROZORKEVICH, and V. D. TONEEV. "THE NON-EQUILIBRIUM DISTRIBUTION FUNCTION OF PARTICLES AND ANTI-PARTICLES CREATED IN STRONG FIELDS." In Proceedings of the Conference “Kadanoff-Baym Equations: Progress and Perspectives for Many-Body Physics”. WORLD SCIENTIFIC, 2000. http://dx.doi.org/10.1142/9789812793812_0029.

Full text

APA, Harvard, Vancouver, ISO, and other styles

9

Kotchergenko, I. D. "The Areolar Strain Concept." In ASME 2008 International Mechanical Engineering Congress and Exposition. ASMEDC, 2008. http://dx.doi.org/10.1115/imece2008-66215.

Full text

Abstract:

The fundamental equations of the isotropic and orthotropic plane theory of elasticity are reworked in the frame of the generalized analytic functions theory. The areolar strain concept and its equilibrium and compatibility equations are presented. In this conception, the plane strain is decomposed into two orthogonal complex strains. A canonic form for the equilibrium equation is provided, allowing achieving its general solution in a fairly straightforward fashion. For finite rotation, new equilibrium equations and boundary conditions, in terms of strains as well as in terms of stresses, are g

APA, Harvard, Vancouver, ISO, and other styles

10

Saidi, A. R., F. Hejripour, and E. Jomehzadeh. "On the Stress Singularities and Boundary Layer in Moderately Thick Functionally Graded Sectorial Plates." In ASME 2010 10th Biennial Conference on Engineering Systems Design and Analysis. ASMEDC, 2010. http://dx.doi.org/10.1115/esda2010-24395.

Full text

Abstract:

In this paper, the stress analysis of moderately thick functionally graded (FG) sector plate is developed for studying the singularities in vicinity of the vertex. Based on the first-order shear deformation plate theory, the governing partial differential equations are obtained. Using an analytical method and defining some new functions, the stretching and bending equilibrium equations are decoupled. Also, introducing a function, called boundary layer function, the three bending equations are converted into two decoupled equations called edge-zone and interior equations. These equations are so

APA, Harvard, Vancouver, ISO, and other styles

We offer discounts on all premium plans for authors whose works are included in thematic literature selections. Contact us to get a unique promo code!