Results 31 to 40 of about 7,276 (215)
Asymptotic measure-expansiveness for generic diffeomorphisms
Open Mathematics, 2021 In this paper, we will assume MM to be a compact smooth manifold and f:M→Mf:M\to M to be a diffeomorphism. We herein demonstrate that a C1{C}^{1} generic diffeomorphism ff is Axiom A and has no cycles if ff is asymptotic measure expansive.
Lee Manseob
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Homoclinic crossing in open systems: Chaos in periodically perturbed monopole plus quadrupolelike potentials [PDF]
, 2002 The Melnikov method is applied to periodically perturbed open systems modeled by an inverse--square--law attraction center plus a quadrupolelike term. A compactification approach that regularizes periodic orbits at infinity is introduced.
A. E. Motter +30 more
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Homoclinic solutions for Hamiltonian system with impulsive effects
Advances in Difference Equations, 2018 In this article, we investigate a class of impulsive Hamiltonian systems with a p-Laplacian operator. By establishing a series of new sufficient conditions, the existence of homoclinic solutions to such type of systems is revealed.
Jian Liu +3 more
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Abstract and Applied Analysis, 2013 We study a class of nonperiodic damped vibration systems with asymptotically quadratic terms at infinity. We obtain infinitely many nontrivial homoclinic orbits by a variant fountain theorem developed recently by Zou.
Guanwei Chen
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Homoclinic classes for generic C^1 vector fields [PDF]
Ergodic Theory and Dynamical Systems, 2003 17 ...
Carballo, C. M. +2 more
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Protected Chaos in a Topological Lattice. [PDF]
Adv Sci (Weinh)Topological and chaotic dynamics are often considered incompatible, with one expected to dominate or disrupt the other. This work reveals that topological localization can persist even under strong chaotic dynamics and, counter‐intuitively, protect chaotic behavior.
Sahin H +6 more
europepmc +2 more sources
Historic behavior in nonhyperbolic homoclinic classes
Proceedings of the American Mathematical Society, 2019 We show that C 1 C^1 -generically for diffeomorphisms of manifolds of dimension d ≥ 3 d\geq 3 , a homoclinic class containing saddles of different indices has a residual subset where the orbit of any point has historic behavior.
Barrientos, Pablo G. +4 more
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Newhouse phenomenon and homoclinic classes [PDF]
Ergodic Theory and Dynamical Systems, 2010 AbstractWe show that for a C1 generic subset of diffeomorphisms far from homoclinic tangencies, any infinite sequence of sinks or sources must accumulate on a homoclinic class of some saddle point with codimension one.
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Bifurcation and chaos for piecewise nonlinear roll system of rolling mill
Advances in Mechanical Engineering, 2017 A non-smooth cold roll system of rolling mill is studied to reveal the bifurcation of the piecewise-smooth and discontinuous system. To examine the influence of the parameters on the dynamics, the bifurcation diagram is constructed when it is unperturbed.
Chundi Si +3 more
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Birth of homoclinic intersections: a model for the central dynamics of partially hyperbolic systems [PDF]
, 2010 We prove a conjecture of J. Palis: any diffeomorphism of a compact manifold can be C1-approximated by a Morse-Smale diffeomorphism or by a diffeomorphism having a transverse homoclinic intersection.
Crovisier, Sylvain
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