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Relevant bibliographies by topics / System of nonlinear differential equations

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Academic literature on the topic 'System of nonlinear differential equations'

Author: Grafiati

Published: 28 May 2022

Last updated: 30 July 2025

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Journal articles on the topic "System of nonlinear differential equations"

1

Kosek, Zdeněk. "Nonlinear boundary value problem for a system of nonlinear ordinary differential equations." Časopis pro pěstování matematiky 110, no. 2 (1985): 130–44. http://dx.doi.org/10.21136/cpm.1985.108595.

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Tchaban, Vasyl, and Taras Ryzhyi. "Algebraic-differential equations of a nonlinear pass-through quadripole." Computational Problems of Electrical Engineering 13, no. 1 (2023): 35–38. http://dx.doi.org/10.23939/jcpee2023.01.035.

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A method of forming algebraic-differential equations of a nonlinear pass-through active quadripole, which connect its independent pole currents and independent polar voltages, is proposed. The difficulty of the analysis lies in the fact that some of both internal and external unknowns may be under the symbol of differentiation. The common differential equations of the system of internal and external currents and voltages act as starting information for this formation. The method is demonstrated on two cases of the formation of corresponding algebraic-differential equations of systems as formed

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Shan, Li Jun, Xue Fang, and Wei Dong He. "Nonlinear Dynamic Model and Equations of RV Transmission System." Advanced Materials Research 510 (April 2012): 536–40. http://dx.doi.org/10.4028/www.scientific.net/amr.510.536.

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The nonlinear dynamics model of gearing system is developed based on RV transmission system. The influence of the nonlinear factors as time-varying meshing stiffness, backlash of the gear pairs and errors is considered. By means of the Lagrange equation the multi-degree-of-freedom differential equations of motion are derived. The differential equations are very hard to solve for which are characterized by positive semi-definition, time-variation and backlash-type nonlinearity. And linear and nonlinear restoring force are coexist in the equations. In order to solve easily, the differential equa

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BILYI, Leonid, Oleh POLISHCHUK, Svitlana LISEVICH, Anatoly ZALIZETSKY, and Vasiliy MELNIK. "MODELING OF NONLINEAR DYNAMIC SYSTEMS ON THE BASIS OF THE SYSTEM SENSITIVITY MODEL TO ITS INITIAL CONDITIONS." Herald of Khmelnytskyi National University. Technical sciences 309, no. 3 (2022): 99–103. http://dx.doi.org/10.31891/2307-5732-2022-309-3-99-103.

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A typical approach for building and analyzing an object model is presented. It is determined that the tasks of analysis of nonlinear systems consist of: calculation of transients and established processes; determination of static and dynamic stability of the found processes; calculation of the sensitivity of the initial characteristics of the system to changes in its internal and external parameters. It is established that the efficiency of the analysis as a whole is determined not only by the efficiency of the algorithms of each of the stages of calculation, but also by the consistency of the

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Pongérard, Patrice. "NONLINEAR SYSTEM OF SINGULAR PARTIAL DIFFERENTIAL EQUATIONS." Journal of Mathematical Sciences: Advances and Applications 43 (January 10, 2017): 31–53. http://dx.doi.org/10.18642/jmsaa_7100121748.

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Tunç, Cemil, and Osman Tunç. "On the Fundamental Analyses of Solutions to Nonlinear Integro-Differential Equations of the Second Order." Mathematics 10, no. 22 (2022): 4235. http://dx.doi.org/10.3390/math10224235.

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In this article, a scalar nonlinear integro-differential equation of second order and a non-linear system of integro-differential equations with infinite delays are considered. Qualitative properties of solutions called the global asymptotic stability, integrability and boundedness of solutions of the second-order scalar nonlinear integro-differential equation and the nonlinear system of nonlinear integro-differential equations with infinite delays are discussed. In the article, new explicit qualitative conditions are presented for solutions of both the second-order scalar nonlinear integro-di

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Khattri, Sanjay Kumar. "Nonlinear elliptic problems with the method of finite volumes." Differential Equations and Nonlinear Mechanics 2006 (2006): 1–16. http://dx.doi.org/10.1155/denm/2006/31797.

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We present a finite volume discretization of the nonlinear elliptic problems. The discretization results in a nonlinear algebraic system of equations. A Newton-Krylov algorithm is also presented for solving the system of nonlinear algebraic equations. Numerically solving nonlinear partial differential equations consists of discretizing the nonlinear partial differential equation and then solving the formed nonlinear system of equations. We demonstrate the convergence of the discretization scheme and also the convergence of the Newton solver through a variety of practical numerical examples.

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Kaunda, Modify A. E. "Semi-closed-form solutions of the van der Pol oscillator system." E3S Web of Conferences 505 (2024): 03015. http://dx.doi.org/10.1051/e3sconf/202450503015.

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Second order vector-valued nonlinear differential equations occurring in science and engineering have been considered which generally do not have closed-form solutions. Explicit incremental semi-analytical numerical solution procedures for nonlinear multiple-degree-of-freedom systems have been developed. Higher order equivalent differential equations were formulated and then subsequent values of vectors were updated using explicit Taylor series expansions. As the time-step tends to zero, the values of displacement and velocity are exact in the Taylor series expansions involving as many higher

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Leibov, Roman. "Piecewise continuous approach to nonlinear differential equations approximation problem of computational structural mechanics." MATEC Web of Conferences 251 (2018): 04024. http://dx.doi.org/10.1051/matecconf/201825104024.

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This paper presents a nonlinear differential equations system piecewise continuous approximation. The piecewise continuous approximation improves piecewise linear approximation through reducing the errors at the boundaries of different linear differential equations systems areas. The matrices of piecewise continuous differential and algebraic equations systems are estimated using nonlinear differential equations system time responses and random search method. The results of proposed approach application are presented.

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Yuldashev, T. K. "О нелокальной краевой задаче для интегро-дифференциального уравнения в частных производных с вырожденным ядром". Владикавказский математический журнал, № 2 (22 червня 2022): 130–41. http://dx.doi.org/10.46698/h5012-2008-4560-g.

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On a nonlocal boundary value problem for a partial integro-differential equations with degenerate kernel\Abstracteng{In this article the problems of the unique classical solvability and theconstruction of the solution of a nonlinear boundary value problem for a fifth orderpartial integro-differential equations with degenerate kernel are studied. Dirichletboundary conditions are specified with respect to the spatial variable. So, the Fourierseries method, based on the separation of variables is used. A countable system of~thesecond order ordinary integro-differential equations with degenerate k

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Dissertations / Theses on the topic "System of nonlinear differential equations"

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Foley, Dawn Christine. "Applications of State space realization of nonlinear input/output difference equations." Thesis, Georgia Institute of Technology, 1999. http://hdl.handle.net/1853/16818.

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Zerihun, Tadesse G. "Nonlinear Techniques for Stochastic Systems of Differential Equations." Scholar Commons, 2013. http://scholarcommons.usf.edu/etd/4970.

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Two of the most well-known nonlinear methods for investigating nonlinear dynamic processes in sciences and engineering are nonlinear variation of constants parameters and comparison method. Knowing the existence of solution process, these methods provide a very powerful tools for investigating variety of problems, for example, qualitative and quantitative properties of solutions, finding error estimates between solution processes of stochastic system and the corresponding nominal system, and inputs for the designing engineering and industrial problems. The aim of this work is to systematical

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Hadad, Yaron. "Integrable Nonlinear Relativistic Equations." Diss., The University of Arizona, 2013. http://hdl.handle.net/10150/293490.

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This work focuses on three nonlinear relativistic equations: the symmetric Chiral field equation, Einstein's field equation for metrics with two commuting Killing vectors and Einstein's field equation for diagonal metrics that depend on three variables. The symmetric Chiral field equation is studied using the Zakharov-Mikhailov transform, with which its infinitely many local conservation laws are derived and its solitons on diagonal backgrounds are studied. It is also proven that it is equivalent to a novel equation that poses a fascinating similarity to the Sinh-Gordon equation. For the 1+1 E

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SOAVE, NICOLA. "Variational and geometric methods for nonlinear differential equations." Doctoral thesis, Università degli Studi di Milano-Bicocca, 2014. http://hdl.handle.net/10281/49889.

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This thesis is devoted to the study of several problems arising in the field of nonlinear analysis. The work is divided in two parts: the first one concerns existence of oscillating solutions, in a suitable sense, for some nonlinear ODEs and PDEs, while the second one regards the study of qualitative properties, such as monotonicity and symmetry, for solutions to some elliptic problems in unbounded domains. Although the topics faced in this work can appear far away one from the other, the techniques employed in different chapters share several common features. In the firts part, the variationa

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Leiva, Hugo. "Skew-product semiflows and time-dependent dynamical systems." Diss., Georgia Institute of Technology, 1995. http://hdl.handle.net/1853/29912.

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馮漢國 and Hon-kwok Fung. "Some linear preserver problems in system theory." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 1995. http://hub.hku.hk/bib/B3121227X.

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Fung, Hon-kwok. "Some linear preserver problems in system theory /." [Hong Kong] : University of Hong Kong, 1995. http://sunzi.lib.hku.hk/hkuto/record.jsp?B16121673.

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Di, Cosmo Jonathan. "Nonlinear Schrödinger equation and Schrödinger-Poisson system in the semiclassical limit." Doctoral thesis, Universite Libre de Bruxelles, 2011. http://hdl.handle.net/2013/ULB-DIPOT:oai:dipot.ulb.ac.be:2013/209863.

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The nonlinear Schrödinger equation appears in different fields of physics, for example in the theory of Bose-Einstein condensates or in wave propagation models. From a mathematical point of view, the study of this equation is interesting and delicate, notably because it can have a very rich set of solutions with various behaviours.<p><p>In this thesis, we have been interested in standing waves, which satisfy an elliptic partial differential equation. When this equation is seen as a singularly perturbed problem, its solutions concentrate, in the sense that they converge uniformly to zero outsid

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Van, der Walt Jan Harm. "Generalized solutions of systems of nonlinear partial differential equations." Thesis, Pretoria : [s.n.], 2009. http://upetd.up.ac.za/thesis/available/etd-05242009-122628.

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Wu, Xiaoming. "Partial differential equations with applications to wave propagation." Thesis, University of Newcastle Upon Tyne, 1990. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.239573.

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Books on the topic "System of nonlinear differential equations"

1

Verhulst, F. Nonlinear differential equations and dynamical systems. Springer-Verlag, 1990.

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Verhulst, F. Nonlinear differential equations and dynamical systems. 2nd ed. Springer, 1996.

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Verhulst, Ferdinand. Nonlinear differential equations and dynamical systems. Springer-Verlag, 1990.

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Drazin, P. G. Nonlinear systems. Cambridge University Press, 1992.

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Drazin, P. G. Nonlinear systems. Cambridge University Press, 1992.

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Vidyasagar, M. Non-linear systems analysis. 2nd ed. Prentice-Hall International (UK), 1993.

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7

Crespo, Luis G. Differential flatness and cooperative tracking in the Lorenz system. Institute for Computer Applications in Science and Engineering, NASA Langley Research Center, 2002.

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8

Kaikko, Juha. Performance prediction of gas turbines by solving a system of non-linear equations. Lappeenranta University of Technology, 1998.

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Verhulst, Ferdinand. Nonlinear Differential Equations and Dynamical Systems. Springer Berlin Heidelberg, 1990. http://dx.doi.org/10.1007/978-3-642-97149-5.

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Verhulst, Ferdinand. Nonlinear Differential Equations and Dynamical Systems. Springer Berlin Heidelberg, 1996. http://dx.doi.org/10.1007/978-3-642-61453-8.

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Book chapters on the topic "System of nonlinear differential equations"

1

Gilbert, Robert P., George C. Hsiao, and Robert J. Ronkese. "Nonlinear Autonomous Systems." In Differential Equations, 2nd ed. Chapman and Hall/CRC, 2021. http://dx.doi.org/10.1201/9781003175643-9.

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Kolk, W. Richard, and Robert A. Lerman. "Analytic Solutions to Nonlinear Differential Equations." In Nonlinear System Dynamics. Springer US, 1992. http://dx.doi.org/10.1007/978-1-4684-6494-8_3.

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Goodwine, Bill. "Introduction to Nonlinear Systems." In Engineering Differential Equations. Springer New York, 2010. http://dx.doi.org/10.1007/978-1-4419-7919-3_13.

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Akhmet, Marat, and Enes Yılmaz. "Impulsive Differential Equations." In Nonlinear Systems and Complexity. Springer New York, 2013. http://dx.doi.org/10.1007/978-1-4614-8566-7_3.

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Milici, Constantin, Gheorghe Drăgănescu, and J. Tenreiro Machado. "Fractional Differential Equations." In Nonlinear Systems and Complexity. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-030-00895-6_4.

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Sauvigny, Friedrich. "Nonlinear Elliptic Systems." In Partial Differential Equations 2. Springer London, 2012. http://dx.doi.org/10.1007/978-1-4471-2984-4_6.

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Akhmet, Marat. "Differential Equations on Time Scales Through Impulsive Differential Equations." In Nonlinear Systems and Complexity. Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-20572-0_9.

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Tomás-Rodríguez, María, and Stephen P. Banks. "Nonlinear Partial Differential Equations." In Linear, Time-varying Approximations to Nonlinear Dynamical Systems. Springer London, 2010. http://dx.doi.org/10.1007/978-1-84996-101-1_9.

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Lakshmanan, M., and D. V. Senthilkumar. "Delay Differential Equations." In Dynamics of Nonlinear Time-Delay Systems. Springer Berlin Heidelberg, 2010. http://dx.doi.org/10.1007/978-3-642-14938-2_1.

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Pommaret, J. F. "Nonlinear Systems." In Partial Differential Equations and Group Theory. Springer Netherlands, 1994. http://dx.doi.org/10.1007/978-94-017-2539-2_4.

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Conference papers on the topic "System of nonlinear differential equations"

1

Noaman, Saja Faeq, Mustafa Wassef Hasan, Shaimaa Shukri Abd Alhalim, and Rusul Khalid Abdulsattar. "A Backstepping Method for Controlling a Nonlinear System of Fuzzy Delay Differential Equations." In 2025 IEEE 22nd International Multi-Conference on Systems, Signals & Devices (SSD). IEEE, 2025. https://doi.org/10.1109/ssd64182.2025.10989857.

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Rahman, Aowabin, Jan Drgona, Aaron Tuor, and Jan Strube. "Neural Ordinary Differential Equations for Nonlinear System Identification." In 2022 American Control Conference (ACC). IEEE, 2022. http://dx.doi.org/10.23919/acc53348.2022.9867586.

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Zhao, Wei, Jingyao Liu, Jing Wu, and Yige Zhao. "Solvability for a System of Nonlinear Differential Equations." In 2018 37th Chinese Control Conference (CCC). IEEE, 2018. http://dx.doi.org/10.23919/chicc.2018.8483076.

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Kadyrsizova, Zhibek, Valery G. Romanovski, Marko Robnik, and Valery Romanovski. "First Integrals of a Cubic System of Differential Equations." In LET’S FACE CHAOS THROUGH NONLINEAR DYNAMICS: Proceedings of “Let’s Face Chaos Through Nonlinear Dynamics” 7th International Summer School and Conference. AIP, 2008. http://dx.doi.org/10.1063/1.3046241.

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LUCA-TUDORACHE, RODICA. "AN EXISTENCE RESULT FOR A CLASS OF NONLINEAR DIFFERENTIAL SYSTEMS." In Applied Analysis and Differential Equations - The International Conference. WORLD SCIENTIFIC, 2007. http://dx.doi.org/10.1142/9789812708229_0016.

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RODKINA, A. "ON STABILITY OF STOCHASTIC NONLINEAR NON-AUTONOMOUS SYSTEMS WITH DELAY." In Proceedings of the International Conference on Differential Equations. WORLD SCIENTIFIC, 2005. http://dx.doi.org/10.1142/9789812702067_0198.

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Simon, László. "On some properties of a system of nonlinear partial functional differential equations." In The 10'th Colloquium on the Qualitative Theory of Differential Equations. Bolyai Institute, SZTE, 2016. http://dx.doi.org/10.14232/ejqtde.2016.8.22.

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ORIVE, R. "WEAKLY NONLINEAR LONG-TIME BEHAVIOR OF SOLUTIONS TO A HYPERBOLIC RELAXATION SYSTEMS." In Proceedings of the International Conference on Differential Equations. WORLD SCIENTIFIC, 2005. http://dx.doi.org/10.1142/9789812702067_0111.

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Jazar, Gholamreza Nakhaie, Mohammad H. Alimi, Mohammad Mahinfalah, and Ali Khazaei. "Periodic Behavior of a Nonlinear Third Order Vibrating System." In ASME 2002 International Mechanical Engineering Congress and Exposition. ASMEDC, 2002. http://dx.doi.org/10.1115/imece2002-39142.

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In modeling of dynamical systems, differential equations, either ordinary or partial, are a common outcome of the modeling process. The basic problem becomes the existence of solution of these deferential equations. In the early days of the solution of deferential equations at the beginning of the eighteenth century the methods for determining the existence of nontrivial solution were so limited and developed very much on an ad hoc basis. Most of the efforts on dynamical system are related to the second order systems, derived by applying Newton equation of motion to dynamical systems. But, beh

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Feckan, Michal. "Transversal homoclinics in nonlinear systems of ordinary differential equations." In The 6'th Colloquium on the Qualitative Theory of Differential Equations. Bolyai Institute, SZTE, 1999. http://dx.doi.org/10.14232/ejqtde.1999.5.9.

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Reports on the topic "System of nonlinear differential equations"

1

Seidman, Thomas I. Nonlinear Systems of Partial Differential Equations. Defense Technical Information Center, 1989. http://dx.doi.org/10.21236/ada217581.

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Hale, Jack, Constantine M. Dafermos, John Mallet-Paret, Panagiotis E. Souganidis, and Walter Strauss. Dynamical Systems and Nonlinear Partial Differential Equations. Defense Technical Information Center, 1989. http://dx.doi.org/10.21236/ada255356.

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Dafermos, Constantine M., John Mallet-Paret, Panagiotis E. Souganidis, and Walter Strauss. Dynamical Systems and Nonlinear Partial Differential Equations. Defense Technical Information Center, 1993. http://dx.doi.org/10.21236/ada271514.

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Shearer, Michael. Systems of Nonlinear Hyperbolic Partial Differential Equations. Defense Technical Information Center, 1997. http://dx.doi.org/10.21236/ada344449.

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Shen, Shiyu, Yuhui Zhai, and Yanfeng Ouyang. Planning and Dynamic Management of Autonomous Modular Mobility Services. Illinois Center for Transportation, 2024. https://doi.org/10.36501/0197-9191/24-029.

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As we enter the next era of autonomous driving, robo-vehicles (which serve as low-cost and fully compliant drivers) are replacing conventional chauffeured services in the mobility market. During just the last few years, companies like Waymo Inc. and Cruise Inc. have already offered fully driverless robo-taxi services to the general public in cities like Phoenix and San Francisco. The rapid evolution of autonomous vehicles is anticipated to reshape the shared mobility market very soon. This project aims to address the following open questions. At the operational level, how should modular units

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Dresner, L. Nonlinear differential equations. Office of Scientific and Technical Information (OSTI), 1988. http://dx.doi.org/10.2172/5495671.

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Shearer, Michael. Nonlinear Differential Equations and Mechanics. Defense Technical Information Center, 2001. http://dx.doi.org/10.21236/ada398262.

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Cai, X.-C. Scalable nonlinear iterative methods for partial differential equations. Office of Scientific and Technical Information (OSTI), 2000. http://dx.doi.org/10.2172/15013129.

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Nirenberg, Louis. Techniques in Linear and Nonlinear Partial Differential Equations. Defense Technical Information Center, 1987. http://dx.doi.org/10.21236/ada187109.

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Potasek, M. J. Analytical Studies of Nonlinear Partial Differential Equations of Interest in Nonlinear Optics. Defense Technical Information Center, 1992. http://dx.doi.org/10.21236/ada254931.

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