Remark on complicated dynamics of some planar system

DOI10.1016/S0022-247X(02)00131-2zbMath1119.34325MaRDI QIDQ1849153

Klaudiusz Wójcik

Publication date: 28 November 2002

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Mathematics Subject Classification ID

Complex behavior and chaotic systems of ordinary differential equations (34C28) Index theory for dynamical systems, Morse-Conley indices (37B30) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Related Items (2)

An example of chaotic dynamics in 3D systems via stretching along paths ⋮ Horseshoes in 3D equations with applications to Lotka-Volterra systems

Cites Work

• Unnamed Item
• Unnamed Item
• A geometric method for detecting chaotic dynamics
• Isolating segments, fixed point index, and symbolic dynamics. III: Applications
• Periodic solutions of some planar non-autonomous polynomial differential
• On periodic solutions of planar polynomial differential equations with periodic coefficients
• On periodic solutions inside isolating chains
• Periodic solutions of complex-valued differential equations and systems with periodic coefficients
• Isolating segments, fixed point index, and symbolic dynamics
• Isolating segments and symbolic dynamics
• Periodic and bounded solutions in blocks for time-periodic nonautonomous ordinary differential equations
• Chaos in the Lorenz equations: a computer-assisted proof
• Chaos in some planar nonautonomous polynomial differential equation
• ON SOME NONAUTONOMOUS CHAOTIC SYSTEM ON THE PLANE
• Isolating segments, fixed point index, and symbolic dynamics. II: Homoclinic solutions

This page was built for publication: Remark on complicated dynamics of some planar system