A new proof for existence of horseshoe in the Rössler system

DOI10.1016/S0960-0779(02)00641-0zbMath1069.37030MaRDI QIDQ1433727

Yongguang Yu, Suochun Zhang, Xiao-Song Yang

Publication date: 1 July 2004

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Complex behavior and chaotic systems of ordinary differential equations (34C28)

Related Items (11)

Metric horseshoes ⋮ Strange attractors generated by a fractional order switching system and its topological horseshoe ⋮ A computer-assisted proof for the existence of horseshoe in a novel chaotic system ⋮ Existence of homoclinic orbit of Shilnikov type and the application in Rössler system ⋮ A topological horseshoe in the hyperchaotic Rössler attractor ⋮ Topological horseshoe analysis and circuit realization for a fractional-order Lü system ⋮ Existence of horseshoe maps in current-mode controlled buck-boost dc/dc converters ⋮ A novel boundedness-based linear and nonlinear approach to control chaos ⋮ Complex nonlinear dynamics and controlling chaos in a Cournot duopoly economic model ⋮ Hyperchaotic set in continuous chaos-hyperchaos transition ⋮ Topological horseshoe analysis and the circuit implementation for a four-wing chaotic attractor

Cites Work

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• Isolating neighborhoods and chaos
• Topological horseshoes
• Computer assisted proof of chaos in the Rössler equations and in the Hénon map
• Leray Functor and Cohomological Conley Index for Discrete Dynamical Systems
• Chaos in the Lorenz equations: a computer-assisted proof

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