Global attractors of analytic plane flows

DOI10.1017/S0143385708000552zbMath1177.37030OpenAlexW2140575083MaRDI QIDQ5322032

Daniel Peralta-Salas, Víctor Jiménez Lopéz

Publication date: 17 July 2009

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

Full work available at URL: https://doi.org/10.1017/s0143385708000552

zbMATH Keywords

global attractorsanalytic and polynomial plane flows

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Flows on surfaces (37E35)

Related Items (5)

On the set of wild points of attracting surfaces in \(\mathbb{R}^3\) ⋮ The realization problem of non-connected compacta as attractors ⋮ The geometric index and attractors of homeomorphisms of ⋮ Knotted toroidal sets, attractors and incompressible surfaces ⋮ Unnamed Item

Cites Work

• Unnamed Item
• A class of vectorfields on \(S^ 2\) that are topologically equivalent to polynomial vectorfields
• Global attractors: Topology and finite-dimensional dynamics
• Construction of differentiable flows with prescribed attractor
• Shape of global attractors in topological spaces
• On the global structure of invariant regions of flows with asymptotically stable attractors
• A topological characterization of the \(\omega \)-limit sets for analytic flows on the plane, the sphere and the projective plane
• Every Attractor of a Flow on a Manifold has the Shape of a Finite Polyhedron

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