ON SOME NONAUTONOMOUS CHAOTIC SYSTEM ON THE PLANE

DOI10.1142/S0218127499001322zbMath1089.37507OpenAlexW2035148213MaRDI QIDQ5474034

Klaudiusz Wójcik

Publication date: 23 June 2006

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

Full work available at URL: https://doi.org/10.1142/s0218127499001322

Mathematics Subject Classification ID

Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Complex behavior and chaotic systems of ordinary differential equations (34C28) Index theory for dynamical systems, Morse-Conley indices (37B30) Nonautonomous smooth dynamical systems (37C60)

Related Items (6)

Fixed points of the area preserving Poincaré maps on two-manifolds ⋮ Isolating segments, fixed point index, and symbolic dynamics. III: Applications ⋮ On detecting periodic solutions and chaos in the time periodically forced ODEs ⋮ Periodic points of the planar area preserving Poincaré map inside isolating segment ⋮ Isolating chains and chaotic dynamics in planar nonautonomous ODEs ⋮ Remark on complicated dynamics of some planar system

Cites Work

• A geometric method for detecting chaotic 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

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