Isolating chains and chaotic dynamics in planar nonautonomous ODEs

DOI10.1016/S0362-546X(03)00024-5zbMath1016.37024MaRDI QIDQ1811772

Leszek Pieniążek

Publication date: 17 June 2003

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

zbMATH Keywords

periodic solutionschaotic dynamicsfixed point indexisolating segmentequations in the complex planeisolating chainnonautonomous periodic ODE

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Fixed points and coincidences in algebraic topology (55M20) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15)

Cites Work

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• A geometric method for detecting chaotic dynamics
• On periodic solutions inside isolating chains
• Isolating segments, fixed point index, and symbolic dynamics
• Isolating segments and symbolic dynamics
• ON SOME NONAUTONOMOUS CHAOTIC SYSTEM ON THE PLANE

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