Doubly Periodic Meromorphic Solutions of Autonomous Nonlinear Differential Equations
Моделирование и анализ информационных систем, 2014 The problem of constructing and classifying elliptic solutions of nonlinear differential equations is studied. An effective method enabling one to find an elliptic solution of an autonomous nonlinear ordinary differential equation is described.
M. V. Demina, N. A. Kudryashov
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On the complete integrability and linearization of certain second order nonlinear ordinary differential equations [PDF]
, 2005 A method of finding general solutions of second-order nonlinear ordinary differential equations by extending the Prelle-Singer (PS) method is briefly discussed.
Chandrasekar, V. K. +2 more
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A nonlocal connection between certain linear and nonlinear ordinary differential equations/oscillators [PDF]
, 2006 We explore a nonlocal connection between certain linear and nonlinear ordinary differential equations (ODEs), representing physically important oscillator systems, and identify a class of integrable nonlinear ODEs of any order. We also devise a method to
Anjan Kundu +18 more
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On numerical methods for highly oscillatory problems in circuit simulation [PDF]
, 2009 We propose in this paper a novel technique for an efficient numerical approximation of systems of highly oscillatory ordinary differential equations. In particular, we consider electronic systems subject to modulated signals.
Alfredo Deaño +5 more
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Automated Linearization of a System of Nonlinear Ordinary Differential Equations
International Journal of Electronics and Telecommunications, 2023 This paper investigates the possibility of automatically linearizing nonlinear models. Constructing a linearised model for a nonlinear system is quite labor-intensive and practically unrealistic when the dimension is greater than 3. Therefore, it is important to automate the process of linearisation of the original nonlinear model.
Aigerim Mazakova +4 more
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Slope restrictions and monotonicity in nonlinear systems: almost linear behavior
Electronic Journal of Qualitative Theory of Differential Equations, 2012 The problems of absolute stability and existence of forced oscillations for systems with sector restricted nonlinearities are considered. An overview of the results for systems described by ordinary differential equations with constant and periodic ...
Vladimir Rasvan
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Nonlinear second-order multivalued boundary value problems [PDF]
, 2003 In this paper we study nonlinear second-order differential inclusions involving the ordinary vector $p$-Laplacian, a multivalued maximal monotone operator and nonlinear multivalued boundary conditions.
Gasinski, Leszek +1 more
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Individual and collective dynamics of self-propelled soft particles [PDF]
, 2013 Deformable self-propelled particles provide us with one of the most important nonlinear dissipative systems, which are related, for example, to the motion of microorganisms.
Itino, Y. +3 more
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Boundary Value Problems, 2009 We present some new nonlinear integral inequalities Bellman-Bihari type with delay for discontinuous functions (integro-sum inequalities; impulse integral inequalities). Some applications of the results are included: conditions of boundedness (uniformly),
Angela Gallo, Anna Maria Piccirillo
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The Spectral Homotopy Analysis Method Extended to Systems of Partial Differential Equations
Abstract and Applied Analysis, 2014 The spectral homotopy analysis method is extended to solutions of systems of nonlinear partial differential equations. The SHAM has previously been successfully used to find solutions of nonlinear ordinary differential equations.
S. S. Motsa +3 more
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