Results 31 to 40 of about 5,568 (185)
Global bifurcation of homoclinic trajectories of discrete dynamical systems [PDF]
, 2012 We prove the existence of an unbounded connected branch of nontrivial homoclinic trajectories of a family of discrete nonautonomous asymptotically hyperbolic systems parametrized by a circle under assumptions involving the topological properties of the ...
A. Abbondandolo +20 more
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Rich Variety of Bifurcations and Chaos in a Variant of Murali-Lakshmanan-Chua Circuit [PDF]
, 2000 A very simple nonlinear parallel nonautonomous LCR circuit with Chua's diode as its only nonlinear element, exhibiting a rich variety of dynamical features, is proposed as a variant of the simplest nonlinear nonautonomous circuit introduced by Murali ...
Lakshmanan, M. +2 more
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Breathers in inhomogeneous nonlinear lattices: an analysis via centre manifold reduction [PDF]
, 2007 We consider an infinite chain of particles linearly coupled to their nearest neighbours and subject to an anharmonic local potential. The chain is assumed weakly inhomogeneous. We look for small amplitude discrete breathers.
Bernardo Sánchez-rey B +3 more
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Entropy of Nonautonomous Dynamical Systems [PDF]
, 2018 Different notions of entropy play a fundamental role in the classical theory of dynamical systems. Unlike many other concepts used to analyze autonomous dynamics, both measure-theoretic and topological entropy can be extended quite naturally to discrete-time nonautonomous dynamical systems given in the process formulation.
openaire +2 more sources
Abstract and Applied Analysis, 2012 Considered here is the first initial boundary value problem for a semilinear degenerate parabolic equation involving the Grushin operator in a bounded domain Ω.
Nguyen Dinh Binh
doaj +1 more source
Topological entropy of nonautonomous dynamical systems [PDF]
Journal of Differential Equations, 2020 Let $\mathcal{M}(X)$ be the space of Borel probability measures on a compact metric space $X$ endowed with the weak$^\ast$-topology. In this paper, we prove that if the topological entropy of a nonautonomous dynamical system $(X,\{f_n\}_{n=1}^{+\infty})$ vanishes, then so does that of its induced system $(\mathcal{M}(X),\{f_n\}_{n=1}^{+\infty ...
Liu, Kairan, Qiao, Yixiao, Xu, Leiye
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The Study of Identification Method for Dynamic Behavior of High-Dimensional Nonlinear System
Shock and Vibration, 2019 The dynamic behavior of nonlinear systems can be concluded as chaos, periodicity, and the motion between chaos and periodicity; therefore, the key to study the nonlinear system is identifying dynamic behavior considering the different values of the ...
Pan Fang +4 more
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A Billingsley type theorem for Bowen topological entropy of nonautonomous dynamical systems
Open Mathematics, 2022 This article is devoted to the study of the Bowen topological entropy for nonautonomous dynamical systems, which is an extension of the classical definition of Bowen topological entropy. We show that the Bowen topological entropy can be determined by the
Zhang Bin, Liu Lei
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, 2005 The dissipative and decoherence properties as well as the asymptotic behavior of the single mode electromagnetic field interacting with the time-dependent squeezed vacuum field reservoir are investigated in detail by using the algebraic dynamical method.
An Jun-Hong +14 more
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Attractors for the nonlinear elliptic boundary value problems and their parabolic singular limit [PDF]
, 2011 We apply the dynamical approach to the study of the second order semi-linear elliptic boundary value problem in a cylindrical domain with a small parameter at the second derivative with respect to the "time" variable corresponding to the axis of the ...
Vishik, Mark I., Zelik, Sergey V.
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