On detecting periodic solutions and chaos in the time periodically forced ODEs

DOI10.1016/S0362-546X(99)00327-2zbMath1047.34058MaRDI QIDQ5940158

Klaudiusz Wójcik

Publication date: 2001

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

zbMATH Keywords

periodic solutionschaosfixed-point index

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Geometric methods in ordinary differential equations (34A26) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Complex behavior and chaotic systems of ordinary differential equations (34C28) Index theory for dynamical systems, Morse-Conley indices (37B30)

Related Items (2)

Isolating segments, fixed point index, and symbolic dynamics. III: Applications ⋮ Periodic segment implies infinitely many periodic solutions

Cites Work

• Unnamed Item
• A geometric method for detecting chaotic dynamics
• On periodic solutions of planar polynomial differential equations with periodic coefficients
• Lectures on algebraic topology.
• On periodic solutions of certain \(n\)th order differential equations
• Isolating segments and symbolic dynamics
• Periodic and bounded solutions in blocks for time-periodic nonautonomous ordinary differential equations
• ON SOME NONAUTONOMOUS CHAOTIC SYSTEM ON THE PLANE

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