On the topological equivalence of flows of Brouwer homeomorphisms

DOI10.1080/10236198.2015.1100174zbMath1466.37032OpenAlexW2286137866MaRDI QIDQ4991988

Zbigniew Leśniak

Publication date: 4 June 2021

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236198.2015.1100174

zbMATH Keywords

topological equivalenceirregular pointBrouwer homeomorphismfirst prolongational limit set

Mathematics Subject Classification ID

Topological and differentiable equivalence, conjugacy, moduli, classification of dynamical systems (37C15) Iteration theory, iterative and composite equations (39B12) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30)

Related Items (2)

On properties of the set of invariant lines of a Brouwer homeomorphism ⋮ On the topological conjugacy of Brouwer flows

Cites Work

• On the structure of Brouwer homeomorphisms embeddable in a flow
• Phase portraits and invariant straight lines of cubic polynomial vector fields having a quadratic rational first integral
• Limit sets and square roots of homeomorphisms
• On strongly irregular points of a Brouwer homeomorphism embeddable in a flow
• On boundaries of parallelizable regions of flows of free mappings
• On parallelizability of flows of free mappings
• Qualitative theory of planar differential systems
• On homeomorphisms of the plane which have no fixed points
• A Maximally Pathological Brouwer Homeomorphism
• On an Equivalence Relation for Free Mappings Embeddeable in a Flow
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