Characterizing the basins with the most entangled boundaries

DOI10.1017/S0143385702001360zbMath1058.37020OpenAlexW2141422508MaRDI QIDQ4467705

James A. Yorke, Helena E. Nusse

Publication date: 10 June 2004

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0143385702001360

zbMATH Keywords

attractorhomoclinicstwo-dimensional diffeomorphismfractal basin boundarytrapping regionbasin cell

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30) Dynamical systems with hyperbolic orbits and sets (37D05)

Related Items (3)

Bifurcations of basins of attraction from the view point of prime ends ⋮ On the topology of the boundary of a basin of attraction ⋮ Properties of basins of attraction for planar discrete cooperative maps

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