Relevant bibliographies by topics / Impulsive dynamic equation

Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers

Academic literature on the topic 'Impulsive dynamic equation'

Author: Grafiati
Published: 4 June 2021
Last updated: 10 February 2022

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Journal articles on the topic "Impulsive dynamic equation"

1

He, Mengxin, Zhong Li, and Fengde Chen. "Dynamic of a nonautonomous two-species impulsive competitive system with infinite delays." Open Mathematics 17, no. 1 (2019): 776–94. http://dx.doi.org/10.1515/math-2019-0062.

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Abstract In this paper, we consider a nonautonomous two-species impulsive competitive system with infinite delays. By the impulsive comparison theorem and some mathematical analysis, we investigate the permanence, extinction and global attractivity of the system, as well as the influence of impulse perturbation on the dynamic behaviors of this system. For the logistic type impulsive equation with infinite delay, our results improve those of Xuxin Yang, Weibing Wang and Jianhua Shen [Permanence of a logistic type impulsive equation with infinite delay, Applied Mathematics Letters, 24(2011), 420-427]. For the corresponding nonautonomous two-species impulsive competitive system without delays, we discuss its permanence, extinction and global attractivity, which weaken and complement the results of Zhijun Liu and Qinglong Wang [An almost periodic competitive system subject to impulsive perturbations, Applied Mathematics and Computation, 231(2014), 377-385].
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Babiarz, Artur, Jerzy Klamka, and Michał Niezabitowski. "Schauder’s fixed-point theorem in approximate controllability problems." International Journal of Applied Mathematics and Computer Science 26, no. 2 (2016): 263–75. http://dx.doi.org/10.1515/amcs-2016-0018.

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AbstractThe main objective of this article is to present the state of the art concerning approximate controllability of dynamic systems in infinite-dimensional spaces. The presented investigation focuses on obtaining sufficient conditions for approximate controllability of various types of dynamic systems using Schauder’s fixed-point theorem. We describe the results of approximate controllability for nonlinear impulsive neutral fuzzy stochastic differential equations with nonlocal conditions, impulsive neutral functional evolution integro-differential systems, stochastic impulsive systems with control-dependent coefficients, nonlinear impulsive differential systems, and evolution systems with nonlocal conditions and semilinear evolution equation.
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Igobi, D. K., and U. Abasiekwere. "Results on Uniqueness of Solution of Nonhomogeneous Impulsive Retarded Equation Using the Generalized Ordinary Differential Equation." International Journal of Differential Equations 2019 (March 20, 2019): 1–9. http://dx.doi.org/10.1155/2019/2523615.

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In this work, we consider an initial value problem of a nonhomogeneous retarded functional equation coupled with the impulsive term. The fundamental matrix theorem is employed to derive the integral equivalent of the equation which is Lebesgue integrable. The integral equivalent equation with impulses satisfying the Carathéodory and Lipschitz conditions is embedded in the space of generalized ordinary differential equations (GODEs), and the correspondence between the generalized ordinary differential equation and the nonhomogeneous retarded equation coupled with impulsive term is established by the construction of a local flow by means of a topological dynamic satisfying certain technical conditions. The uniqueness of the equation solution is proved. The results obtained follow the primitive Riemann concept of integration from a simple understanding.
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Mao, Jian, Yu Fu, and Peichao Li. "Dynamics of Periodic Impulsive Collision in Escapement Mechanism." Shock and Vibration 20, no. 5 (2013): 1001–10. http://dx.doi.org/10.1155/2013/350429.

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Among various non-smooth dynamic systems, the periodically forced oscillation system with impact is perhaps the most common in engineering applications. The dynamical study becomes complicated due to the impact. This paper presents a systematic study on the periodically forced oscillation system with impact. A simplified model of the escapement mechanism is introduced. Impulsive differential equation and Poincare map are applied to describe the model and study the stability of the system. Numerical examples are given and the results show that the model is highly accurate in describing/predicting their dynamics.
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Zhao, Wen Cai, Tong Qian Zhang, and Zheng Bo Chang. "Mathematical and Dynamic Analysis of a Gompertz Ecosystem with Impulsive Control Strategy and Stage Structure for Predator." Advanced Materials Research 538-541 (June 2012): 2522–25. http://dx.doi.org/10.4028/www.scientific.net/amr.538-541.2522.

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In this paper, on the basis of the theories and methods of ecology and ordinary differential equations, an ecological Gompertz model with Holling III functional response and stage structure for predator is established. By use of the stroboscopic map, a predator extinction periodic solution is obtained, and the global attractivity of the predator extinction periodic solution is analyzed. By using comparison theorem of impulsive differential equation and small amplitude perturbation skills, we get the sufficient condition for permanence of the system under impulsive harvest strategy for the prey and maturation time delay of predator.
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Li, Ying, and Yuanfu Shao. "Dynamic analysis of an impulsive differential equation with time-varying delays." Applications of Mathematics 59, no. 1 (2014): 85–98. http://dx.doi.org/10.1007/s10492-014-0043-9.

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Akhmet, Marat, and Mehmet Onur Fen. "Li–Yorke Chaos in Hybrid Systems on a Time Scale." International Journal of Bifurcation and Chaos 25, no. 14 (2015): 1540024. http://dx.doi.org/10.1142/s0218127415400246.

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By using the reduction technique to impulsive differential equations [Akhmet & Turan, 2006], we rigorously prove the presence of chaos in dynamic equations on time scales (DETS). The results of the present study are based on the Li–Yorke definition of chaos. This is the first time in the literature that chaos is obtained for DETS. An illustrative example is presented by means of a Duffing equation on a time scale.
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Ahn, Kwanghyun, and Hoon Huh. "Dynamic Hardening Equation of Nickel-Based Superalloy Inconel 718." Key Engineering Materials 535-536 (January 2013): 129–32. http://dx.doi.org/10.4028/www.scientific.net/kem.535-536.129.

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The dynamic response of the turbine blade materials is indispensable for analysis of erosions of turbine blades as a result of impulsive loading associated with gas flow. This paper is concerned with the dynamic hardening equation of the Nickel-based superalloy Inconel 718 which is widely used in the high speed turbine blade. Reported representative dynamic hardening equations have been constructed and evaluated using the dynamic hardening characteristics of the Inconel 718. Dynamic hardening characteristics of the Inconel 718 have been obtained by uniaxial tensile tests and SHPB tests. Uniaxial tensile tests have been performed with the variation of the strain rate from 0.001/sec to 100/sec and SHPB tests have been conducted at the strain rate ranging up to 4000/sec. Several existing models have been constructed and evaluated for Johnson-Cook model, Zerilli-Armstrong model, Preston-Tonks-Wallace model, modified Johnson-Cook model, and modified Khan-Huang model using test results at various strain rate conditions. The most applicable equation for the Inconel 718 has been suggested by comparison of constructed results.
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LIU, BING, YUJUAN ZHANG, and LANSUN CHEN. "DYNAMIC COMPLEXITIES IN A LOTKA–VOLTERRA PREDATOR–PREY MODEL CONCERNING IMPULSIVE CONTROL STRATEGY." International Journal of Bifurcation and Chaos 15, no. 02 (2005): 517–31. http://dx.doi.org/10.1142/s0218127405012338.

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Based on the classical Lotka–Volterra predator–prey system, an impulsive differential equation to model the process of periodically releasing natural enemies and spraying pesticides at different fixed times for pest control is proposed and investigated. It is proved that there exists a globally asymptotically stable pest-eradication periodic solution when the impulsive period is less than some critical value. Otherwise, the system can be permanent. We observe that our impulsive control strategy is more effective than the classical one if we take chemical control efficiently. Numerical results show that the system we considered has more complex dynamics including period-doubling bifurcation, symmetry-breaking bifurcation, period-halving bifurcation, quasi-periodic oscillation, chaos and nonunique dynamics, meaning that several attractors coexist. Finally, a pest–predator stage-structured model for the pest concerning this kind of impulsive control strategy is proposed, and we also show that there exists a globally asymptotically stable pest-eradication periodic solution when the impulsive period is less than some threshold.
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Wang, Chao, Zhien Li, and Ravi P. Agarwal. "Fundamental solution matrix and Cauchy properties of quaternion combined impulsive matrix dynamic equation on time scales." Analele Universitatii "Ovidius" Constanta - Seria Matematica 29, no. 2 (2021): 107–30. http://dx.doi.org/10.2478/auom-2021-0021.

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Abstract In this paper, we establish some basic results for quaternion combined impulsive matrix dynamic equation on time scales for the first time. Quaternion matrix combined-exponential function is introduced and some basic properties are obtained. Based on this, the fundamental solution matrix and corresponding Cauchy matrix for a class of quaternion matrix dynamic equation with combined derivatives and bi-directional impulses are derived.
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Dissertations / Theses on the topic "Impulsive dynamic equation"

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Nersesov, Sergey G. "Nonlinear Impulsive and Hybrid Dynamical Systems." Diss., Georgia Institute of Technology, 2005. http://hdl.handle.net/1853/7147.

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Modern complex dynamical systems typically possess a multiechelon hierarchical hybrid structure characterized by continuous-time dynamics at the lower-level units and logical decision-making units at the higher-level of hierarchy. Hybrid dynamical systems involve an interacting countable collection of dynamical systems defined on subregions of the partitioned state space. Thus, in addition to traditional control systems, hybrid control systems involve supervising controllers which serve to coordinate the (sometimes competing) actions of the lower-level controllers. A subclass of hybrid dynamical systems are impulsive dynamical systems which consist of three elements, namely, a continuous-time differential equation, a difference equation, and a criterion for determining when the states of the system are to be reset. One of the main topics of this dissertation is the development of stability analysis and control design for impulsive dynamical systems. Specifically, we generalize Poincare's theorem to dynamical systems possessing left-continuous flows to address the stability of limit cycles and periodic orbits of left-continuous, hybrid, and impulsive dynamical systems. For nonlinear impulsive dynamical systems, we present partial stability results, that is, stability with respect to part of the system's state. Furthermore, we develop adaptive control framework for general class of impulsive systems as well as energy-based control framework for hybrid port-controlled Hamiltonian systems. Extensions of stability theory for impulsive dynamical systems with respect to the nonnegative orthant of the state space are also addressed in this dissertation. Furthermore, we design optimal output feedback controllers for set-point regulation of linear nonnegative dynamical systems. Another main topic that has been addressed in this research is the stability analysis of large-scale dynamical systems. Specifically, we extend the theory of vector Lyapunov functions by constructing a generalized comparison system whose vector field can be a function of the comparison system states as well as the nonlinear dynamical system states. Furthermore, we present a generalized convergence result which, in the case of a scalar comparison system, specializes to the classical Krasovskii-LaSalle invariant set theorem. Moreover, we develop vector dissipativity theory for large-scale dynamical systems based on vector storage functions and vector supply rates. Finally, using a large-scale dynamical systems perspective, we develop a system-theoretic foundation for thermodynamics. Specifically, using compartmental dynamical system energy flow models, we place the universal energy conservation, energy equipartition, temperature equipartition, and entropy nonconservation laws of thermodynamics on a system-theoretic basis.
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Chenel, Aurélie. "Dynamique et contrôle de systèmes quantiques ouverts." Phd thesis, Université Paris Sud - Paris XI, 2014. http://tel.archives-ouvertes.fr/tel-01061945.

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L'étude des effets quantiques, comme les cohérences quantiques, et leur exploitation en contrôle par impulsion laser constituent encore un défi numérique pour les systèmes de grande taille. Pour réduire la dimensionnalité du problème, la dynamique dissipative se focalise sur un sous-espace quantique dénommé 'système', qui inclut les degrés de liberté les plus importants. Le système est couplé à un bain thermique d'oscillateurs harmoniques. L'outil essentiel de la dynamique dissipative est la densité spectrale du bain, qui contient toutes les informations sur le bain et sur l'interaction entre le système et le bain. Plusieurs stratégies complémentaires existent. Nous adoptons une équation maîtresse quantique non-markovienne pour décrire l'évolution de la matrice densité associée au système. Cette approche, développée par C. Meier et D.J. Tannor, est perturbative en fonction du couplage entre le système et le bain, mais pas en fonction de l'interaction avec un champ laser. Le but est de confronter cette méthodologie à des systèmes réalistes calibrés par des calculs de structure électronique ab initio. Une première étude porte sur la modélisation du transfert d'électron ultrarapide à une hétérojonction oligothiophène-fullerène, présente dans des cellules photovoltaïques organiques. La description du problème en fonction d'une coordonnée brownienne permet de contourner la limitation du régime perturbatif. Le transfert de charge est plus rapide mais moins complet lorsque la distance R entre les fragments oligothiophène et fullerène augmente. La méthode de dynamique quantique décrite ci-dessus est ensuite combinée à la Théorie du Contrôle Optimal (OCT), et appliquée au contrôle d'une isomérisation, le réarrangement de Cope, dans le contexte des réactions de Diels-Alder. La prise en compte de la dissipation dès l'étape d'optimisation du champ permet à l'algorithme de contrôle de contrer la décohérence induite par l'environnement et conduit à un meilleur rendement. La comparaison de modèles à une et deux dimensions montre que le contrôle trouve un mécanisme adapté au modèle utilisé. En deux dimensions, il agit activement sur les deux coordonnées du modèle. En une dimension, le décohérence est minimisée par une accélération du passage par les états délocalisés situés au-dessus de la barrière de potentiel.
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Liang, Yi Chang, and 梁益昌. "PBVPs of first-order impulsive dynamic equations on time scales." Thesis, 2009. http://ndltd.ncl.edu.tw/handle/79901829100172007931.

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碩士<br>國立政治大學<br>應用數學研究所<br>97<br>In this thesis, we are concernd with nonlinear first-order periodic boundary value problems of impulsive dynamic equations on time scales. By using Schaefer’s theorem and Banach’s fixed point theorem we acquire some new existence results.
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Books on the topic "Impulsive dynamic equation"

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N, Sesekin A., ed. Dynamic Impulse Systems: Theory and Applications. Springer Netherlands, 1997.

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United States. National Aeronautics and Space Administration., ed. Identification of linear and nonlinear aerodynamic impulse responses using digital filter techniques. National Aeronautics and Space Administration, 1997.

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Center, Langley Research, ed. Identification of linear and nonlinear aerodynamic impulse responses using digital filter techniques. National Aeronautics and Space Administration, Langley Research Center, 1997.

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Book chapters on the topic "Impulsive dynamic equation"

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Georgiev, Svetlin G. "Impulsive Functional Dynamic Equations." In Functional Dynamic Equations on Time Scales. Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-15420-2_14.

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Georgiev, Svetlin G. "Impulsive Fuzzy Dynamic Equations." In Fuzzy Dynamic Equations, Dynamic Inclusions, and Optimal Control Problems on Time Scales. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-76132-5_5.

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Georgiev, Svetlin G. "Linear Impulsive Dynamic Systems." In Functional Dynamic Equations on Time Scales. Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-15420-2_15.

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Zavalishchin, S. T., and A. N. Sesekin. "Equations in Distributions: new approaches." In Dynamic Impulse Systems. Springer Netherlands, 1997. http://dx.doi.org/10.1007/978-94-015-8893-5_2.

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Brogliato, Bernard. "Impulsive Dynamics and Measure Differential Equations." In Communications and Control Engineering. Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-28664-8_1.

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Wang, Chao, Ravi P. Agarwal, Donal O’Regan, and Rathinasamy Sakthivel. "Impulsive Dynamic Equations on Translation Time Scales." In Theory of Translation Closedness for Time Scales. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-38644-3_7.

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Diamond, Phil. "Impulsive Evolution Equations and Population Models." In Dynamics of Complex Interconnected Biological Systems. Birkhäuser Boston, 1990. http://dx.doi.org/10.1007/978-1-4684-6784-0_10.

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Church, Kevin E. M., and Xinzhi Liu. "The Hutchinson Equation with Pulse Harvesting." In Bifurcation Theory of Impulsive Dynamical Systems. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-64533-5_17.

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Zavalishchin, S. T., and A. N. Sesekin. "Discontinuous Solutions to Ordinary Nonlinear Differential Equations in the Space of Functions of Bounded Variation." In Dynamic Impulse Systems. Springer Netherlands, 1997. http://dx.doi.org/10.1007/978-94-015-8893-5_5.

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Georgiev, Svetlin G. "Boundary Value Problems for First Order Impulsive Dynamic Inclusions." In Fuzzy Dynamic Equations, Dynamic Inclusions, and Optimal Control Problems on Time Scales. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-76132-5_9.

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Conference papers on the topic "Impulsive dynamic equation"

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Ochiai, Masayuki, and Hiromu Hashimoto. "Vibration Analysis of High Speed Stepped Thrust Gas Film Bearings With Inertia Effects." In ASME 1997 Design Engineering Technical Conferences. American Society of Mechanical Engineers, 1997. http://dx.doi.org/10.1115/detc97/vib-4047.

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Abstract Stepped thrust gas film bearings are widely used for high speed rotating machinery because of their simple structure, relatively high load carrying capacity and stability. In such bearings, the gas film inertia forces may play an important role under high speed conditions. In this paper, the vibration analysis of high speed, stepped thrust gas film bearings considering the inertia effects is described. In the numerical analysis, the static and dynamic pressure distributions in pocket and land regions are evaluated from the generalized Reynolds equation considering the centrifugal force. The pressure values at the step are calculated by considering the conservation of mechanical energy and the continuity of gas film flow in pocket and land regions. Moreover, the dynamic response of bearings subjected to impulsive and sinusoidal excitations are analyzed for different values of film thickness ratios. From the numerical results, the effects of gas film inertia on the vibration characteristics of bearings are clarified.
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Bonotto, Everaldo, Matheus Bortolan, Tomas Caraballo, and Rodolfo Collegari. "A survey on impulsive dynamical systems." In The 10'th Colloquium on the Qualitative Theory of Differential Equations. Bolyai Institute, SZTE, 2016. http://dx.doi.org/10.14232/ejqtde.2016.8.7.

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Minhós, Feliz, and João Fialho. "High order periodic impulsive problems." In The 10th AIMS Conference on Dynamical Systems, Differential Equations and Applications (Madrid, Spain). American Institute of Mathematical Sciences, 2015. http://dx.doi.org/10.3934/proc.2015.0446.

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Ma, Wentao, Xuning Zhao, and Kevin Wang. "A Fluid-Structure Coupled Computational Model for the Certification of Shock-Resistant Elastomer Coatings." In ASME 2020 39th International Conference on Ocean, Offshore and Arctic Engineering. American Society of Mechanical Engineers, 2020. http://dx.doi.org/10.1115/omae2020-18501.

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Abstract Shock waves from underwater and air explosions are significant threats to surface and underwater vehicles and structures. Recent studies on the mechanical and thermal properties of various phase-separated elastomers indicate the possibility of applying these materials as a coating to mitigate shock-induced structural failures. To demonstrate this approach and investigate its efficacy, this paper presents a fluid-structure coupled computational model capable of predicting the dynamic response of air-backed bilayer (i.e. elastomer coating – metal substrate) structures submerged in water to hydrostatic and underwater explosion loads. The model couples a three-dimensional multiphase finite volume computational fluid dynamics model with a nonlinear finite element computational solid dynamics model using the FIVER (FInite Volume method with Exact multi-material Riemann solvers) method. The kinematic boundary condition at the fluid-structure interface is enforced using an embedded boundary method that is capable of handling large structural deformation and topological changes. The dynamic interface condition is enforced by formulating and solving local, one-dimensional fluid-solid Riemann problems, which is well-suited for transferring shock and impulsive loads. The capability of this computational model is demonstrated through a numerical investigation of hydrostatic and shock-induced collapse of aluminum tubes with polyurea coating on its inner surface. The thickness of the structure is resolved explicitly by the finite element mesh. The nonlinear material behavior of polyurea is accounted for using a hyper-viscoelastic constitutive model featuring a modified Mooney-Rivlin equation and a stress relaxation function in the form of prony series. Three numerical experiments are conducted to simulate and compare the collapse of the structure in different loading conditions, including a constant pressure, a fluid environment initially in hydrostatic equilibrium, and a two-phase fluid flow created by a near-field underwater explosion.
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Narahari Achar, B. N., and John W. Hanneken. "Response Dynamics in the Continuum Limit of the Lattice Dynamical Theory of Viscoelasticity (Fractional Calculus Approach)." In ASME 2009 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2009. http://dx.doi.org/10.1115/detc2009-86218.

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A fractional diffusion-wave equation is derived in the continuum limit of the lattice dynamical equations of motion of a chain of coupled fractional oscillators obtained from the integral equations of motion of a linear chain of simple harmonic oscillators by generalization of the ordinary integrals into ones involving fractional integrals. The set of integral equations of motion pertaining to the chain of coupled fractional oscillators in the continuum limit is solved by using Laplace transforms. The response of the system to impulse and sinusoidal forcing is studied. Numerical applications are discussed with particular reference to energy flow and dissipation.
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Carapinha, Rui, and Feliz Minhós. "On higher order nonlinear impulsive boundary value problems." In The 10th AIMS Conference on Dynamical Systems, Differential Equations and Applications (Madrid, Spain). American Institute of Mathematical Sciences, 2015. http://dx.doi.org/10.3934/proc.2015.0851.

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Mukherjee, Rudranarayan M. "Operational Space Impulse Momentum Algorithm for Flexible Multibody Systems With Generalized Topologies." In ASME 2011 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2011. http://dx.doi.org/10.1115/detc2011-48886.

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This paper presents a new methodology for modeling discontinuous dynamics of flexible and rigid multibody systems based on the impulse momentum formulation. The new methodology is based on the seminal idea of the divide and conquer scheme for modeling the forward dynamics of rigid multibody systems. While a similar impulse momentum approach has been demonstrated for multibody systems in tree topologies, this paper presents the generalization of the approach to systems in generalized topologies including many coupled kinematically closed loops. The approach utilizes a hierarchic assembly-disassembly process by traversing the system topology in a binary tree map to solve for the jumps in the system generalized speeds and the constraint impulsive loads in linear and logarithmic cost in serial and parallel implementations, respectively. The coupling between the unilateral and bilateral constraints is handled efficiently through the use of kinematic joint definitions. The generalized impulse momenta equations of flexible bodies are derived using a projection method.
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Mueschke, Nicholas J., Wayne N. Kraft, Malcolm J. Andrews, and Jeffrey W. Jacobs. "Numerical Investigation of Internal Vortex Structure in Two-Dimensional, Incompressible Richtmyer-Meshkov Flows." In ASME 2005 International Mechanical Engineering Congress and Exposition. ASMEDC, 2005. http://dx.doi.org/10.1115/imece2005-82723.

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Richtmyer-Meshkov (RM) instability occurs when one fluid is impulsively accelerated into a second fluid, such that ρ1 ≠ ρ2. This research numerically investigates RM instabilities between incompressible media, similar to the experiments reported by Niederhaus &amp; Jacobs [1]. A two-dimensional, finite-volume numerical algorithm has been developed to solve the variable density Navier-Stokes equations explicitly on a Cartesian, co-located grid. In previous calculations, no physical viscosity was implemented; however, small scale fluctuations were damped by the numerical algorithm. In contrast, current simulations incorporate the physical viscosities reported by Niederhaus &amp; Jacobs [1] and are explicitly used. Calculations of volume fraction and momentum advections are second-order accurate in space. Unphysical oscillations due to the higher-order advection scheme are minimized through the use of a Van Leer flux limiting algorithm. An initial velocity impulse [2] has been used to model the impulsive acceleration history found in the experiments of Niederhaus &amp; Jacobs [1]. Both inviscid and viscous simulations result in similar growth rates for the interpenetration of one fluid into another. However, the inviscid simulations (i.e. no explicit viscosity) are unable to capture the full dynamics of the internal vortex structure that exists between the two fluids due to the absence of viscous effects.
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De la Sen, M., and S. Alonso-Quesada. "On the impulsive Beverton-Holt equation and extinction conditions in population dynamics." In 2011 IEEE International Conference on Quality and Reliability (ICQR). IEEE, 2011. http://dx.doi.org/10.1109/icqr.2011.6031710.

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Ma, Weiyuan, Changpin Li, and Yujiang Wu. "Pinning Impulsive Synchronization of Fractional Complex Dynamical Networks." In ASME 2015 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2015. http://dx.doi.org/10.1115/detc2015-47029.

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In this paper, a class of fractional complex dynamical networks is synchronized via pinning impulsive control. At first, a comparison principle is established for fractional impulsive differential equations. Then the synchronization criterion is obtained by using the derived comparison principle. Examples are given to illustrate the results.
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