Qualitative theory of flows on surfaces (a review)

DOI10.1007/BF02433487zbMath0939.37024OpenAlexW2021792413MaRDI QIDQ1269972

Evgeny Zhuzhoma, Samuel Kh. Aranson

Publication date: 22 October 1998

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02433487

zbMATH Keywords

surveystructural stabilityvector fieldflowMorse-Smale flows and bifurcation

Mathematics Subject Classification ID

Topological and differentiable equivalence, conjugacy, moduli, classification of dynamical systems (37C15) Flows on surfaces (37E35) Research exposition (monographs, survey articles) pertaining to dynamical systems and ergodic theory (37-02) Smooth dynamical systems: general theory (37C99)

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Simplest bifurcation diagrams for monotone families of vector fields on a torus ⋮ The lamination of infinitely renormalizable dissipative gap maps: analyticity, holonomies and conjugacies ⋮ Invariants of transverse foliations ⋮ Vector fields on manifolds with boundary and reversibility -- An expository account ⋮ EMPTY INTERIOR RECURRENCE FOR CONTINUOUS FLOWS ON SURFACES ⋮ Singular hyperbolicity of star flows on surfaces

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