A proof for a theorem on intertwining property of attraction basin boundaries in planar dynamical systems.

DOI10.1016/S0960-0779(02)00154-6zbMath1070.37015OpenAlexW2061576919MaRDI QIDQ1419161

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)00154-6

zbMATH Keywords

attractorsbasin boundaryplanar dynamical systemsintertwining property

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Dynamics induced by flows and semiflows (37C10) Qualitative theory for ordinary differential equations (34C99) Attractors of solutions to ordinary differential equations (34D45)

Related Items (4)

Structure of basin boundaries of attractors of ODE's on \(S^{2}\). ⋮ Estimating the Hausdorff-Besicovitch dimension of boundary of basin of attraction in helicopter trim ⋮ Intertwined basins of attraction of dynamical systems ⋮ Intertwined basins of attraction generated by the stable manifold of a saddle point

Cites Work

• Fractal basin boundaries
• Intertwined basins of attraction in systems of O. D. E
• Basins of Wada
• 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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