HETEROCLINICAL REPELLERS IMPLY CHAOS

DOI10.1142/S021812740601543XzbMath1185.37018MaRDI QIDQ3498653

Wei Lin, Guan-Rong Chen

Publication date: 16 May 2008

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Topological entropy (37B40) Symbolic dynamics (37B10) Homoclinic and heteroclinic orbits for dynamical systems (37C29)

Related Items (13)

DYNAMICS OF A DISCRETE-TIME MODEL OF AN "IDEAL-STORAGE" SYSTEM DESCRIBING HETERO-CATALYTIC PROCESSES ON METAL SURFACES ⋮ Chaos Induced by Heteroclinic Cycles Connecting Repellers for First-Order Partial Difference Equations ⋮ Chaotification of a class of discrete systems based on heteroclinic cycles connecting repellers in Banach spaces ⋮ On the construction of one-dimensional discrete chaos theory based on the improved version of Marotto's theorem ⋮ Chaotic orbits for differentiable maps near anti-integrable limits ⋮ Critical homoclinic orbits lead to snap-back repellers ⋮ The Structural Stability of Maps with Heteroclinic Repellers ⋮ Chaos induced by heteroclinic cycles connecting repellers in complete metric spaces ⋮ BIFURCATIONS OF SNAP-BACK REPELLERS WITH APPLICATION TO BORDER-COLLISION BIFURCATIONS ⋮ Heteroclinic cycles imply chaos and are structurally stable ⋮ The \(C^1\) persistence of heteroclinic repellers in \(\mathbb{R}^n\) ⋮ Chaos induced by heteroclinic cycles connecting repellers and saddles in locally compact metric spaces ⋮ Discrete chaos induced by heteroclinic cycles connecting repellers in Banach spaces

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