Results 21 to 30 of about 15,908 (261)
Moroccan Journal of Pure and Applied Analysis, 2021 The main goal of this paper is to provide the maximum number of crossing limit cycles of two different families of discontinuous piecewise linear differential systems.
Damene Loubna, Benterki Rebiha
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Hamiltonian and Variational Linear Distributed Systems [PDF]
Mathematical and Computer Modelling of Dynamical Systems, 2002 We use the formalism of bilinear- and quadratic differential forms in order to study Hamiltonian and variational linear distributed systems. It was shown that a system described by ordinary linear constant-coefficient differential equations is Hamiltonian if and only if it is variational.
Rapisarda, Paolo, Trentelman, Harry L.
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A DIFFERENTIAL INTEGRABILITY CONDITION FOR TWO-DIMENSIONAL HAMILTONIAN SYSTEMS
Acta Polytechnica, 2014 We review, restate, and prove a result due to Kaushal and Korsch [Phys. Lett. A 276, 47 (2000)] on the complete integrability of two-dimensional Hamiltonian systems whose Hamiltonian satisfies a set of four linear second order partial differential ...
Ali Mostafazadeh
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Structural identifiability of linear Port Hamiltonian systems
Systems & Control Letters, 2021 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Medianu, Silviu, Lefèvre, Laurent
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Linear port-Hamiltonian DAE systems revisited
Systems & Control Letters, 2022 13 ...
Arjan van der Schaft, Volker Mehrmann
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Bifurcation of Limit Cycles by Perturbing a Piecewise Linear Hamiltonian System
Abstract and Applied Analysis, 2013 This paper concerns limit cycle bifurcations by perturbing a piecewise linear Hamiltonian system. We first obtain all phase portraits of the unperturbed system having at least one family of periodic orbits.
Yanqin Xiong, Maoan Han
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New results for time reversed symplectic dynamic systems and quadratic functionals
Electronic Journal of Qualitative Theory of Differential Equations, 2012 In this paper, we examine time scale symplectic (or Hamiltonian) systems and the associated quadratic functionals which contain a forward shift in the time variable.
Roman Simon Hilscher, Petr Zemanek
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On Linear Hamiltonian Systems [PDF]
MATEC Web of Conferences, 2017 In this paper we consider the normalization of quadratic Hamiltonian. We get the new method to find the generating function of the canonical transformation. We obtain the solution of the system of matrix equations to find this transformation. The corresponding Hamiltonian matrix has multiply eigenvalues.
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A Liapunov Inequality for Linear Hamiltonian Systems [PDF]
Mathematical Inequalities & Applications, 1998 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Clark, Steve, Hinton, Don
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Survey of Eight Modern Methods of Hamiltonian Mechanics
Axioms, 2021 Here we describe eight new methods, arisen in the last 60 years, to study solutions of a Hamiltonian system with n degrees of freedom. The first six of them are intended for systems with small parameters or without them.
Alexander D. Bruno, Alexander B. Batkhin
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