Structure of basin boundaries of attractors of ODE's on \(S^{2}\).

DOI10.1016/S0960-0779(02)00311-9zbMath1033.37018OpenAlexW1992131003MaRDI QIDQ1419220

Xiao-Song Yang

Publication date: 14 January 2004

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

Full work available at URL: https://doi.org/10.1016/s0960-0779(02)00311-9

zbMATH Keywords

attractorssaddle pointbasins of attractionautonomous ordinary differential equationsdynamical systems described by mapsintertwined structure

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Dynamics induced by flows and semiflows (37C10) Generic properties, structural stability of dynamical systems (37C20) Attractors of solutions to ordinary differential equations (34D45) Low-dimensional dynamical systems (37E99)

Related Items (2)

Basins of attraction of invariant regular manifolds ⋮ Intertwined basins of attraction of dynamical systems

Cites Work

• Fractal basin boundaries
• Intertwined basins of attraction in systems of O. D. E
• Basins of Wada
• A proof for a theorem on intertwining property of attraction basin boundaries in planar dynamical systems.
• Wild topology, hyperbolic geometry and fusion algebra of high energy particle physics
• Smoothly intertwined basins of attraction in a prey-predator model

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