Attractors with vanishing rotation number

DOI10.4171/JEMS/288zbMath1253.37048MaRDI QIDQ645350

Rafael Ortega, Francisco Romero Ruiz del Portal

Publication date: 14 November 2011

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

zbMATH Keywords

extinctionfixed point indexglobal asymptotic stabilityperiodic differential equationprime endinvariant rayplanar attractor

Mathematics Subject Classification ID

Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30) Index theory for dynamical systems, Morse-Conley indices (37B30) Rotation numbers and vectors (37E45) Cluster sets, prime ends, boundary behavior (30D40)

Related Items (9)

Attraction in nonmonotone planar systems and real-life models ⋮ Attractors with irrational rotation number ⋮ An eigenvalue condition and the equivalence of two-dimensional maps ⋮ Čech cohomology of attractors of discrete dynamical systems ⋮ The topology of dissipative systems ⋮ A dynamical characterization of planar symmetries ⋮ Unstable manifold, Conley index and fixed points of flows ⋮ Prime ends rotation numbers and periodic points ⋮ Nontrivial attractor-repellor maps of \(S^2\) and rotation numbers

Cites Work

• Planar embeddings with a globally attracting fixed point
• A fixed point theorem for plane separating continua
• Dynamical systems: Stability theory and applications
• Accessible saddles on fractal basin boundaries

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