Cascade of Sinks

DOI10.2307/1999968zbMath0556.58021OpenAlexW4253464422MaRDI QIDQ3219507

Clark Robinson

Publication date: 1985

Full work available at URL: https://doi.org/10.2307/1999968

zbMATH Keywords

attracting setscascade of quasi-sinkscascade of sinksisolated sinksone parameter family of dissipative maps

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Structural stability and analogous concepts of solutions to ordinary differential equations (34D30)

Cites Work

• Bifurcation to infinitely many sinks
• The abundance of wild hyperbolic sets and non-smooth stable sets for diffeomorphisms
• Applications of centre manifold theory
• Bifurcations from an invariant circle for two-parameter families of maps of the plane: a computer-assisted study
• Cascades of period-doubling bifurcations: A prerequisite for horseshoes
• Attractors: Persistence, and Density of Their Basins
• ON THREE-DIMENSIONAL DYNAMICAL SYSTEMS CLOSE TO SYSTEMS WITH A STRUCTURALLY UNSTABLE HOMOCLINIC CURVE. II
• Invariant manifolds
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