Flows with collective dynamics on a sphere

DOI10.15673/tmgc.v14i1.1902zbMath1480.37052OpenAlexW3161528276MaRDI QIDQ4997680

Sophija Huraka, O. O. Pryshlyak, A. A. Prus

Publication date: 30 June 2021

Published in: Proceedings of the International Geometry Center (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.15673/tmgc.v14i1.1902

zbMATH Keywords

flowscollective dynamicstopological invariantsimple bifurcations

Mathematics Subject Classification ID

Topological and differentiable equivalence, conjugacy, moduli, classification of dynamical systems (37C15) Bifurcations of singular points in dynamical systems (37G10) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30) Homoclinic and heteroclinic orbits for dynamical systems (37C29) Flows on surfaces (37E35)

Related Items (2)

Flows with minimal number of singularities in the Boy's surface ⋮ Topological structure of optimal flows on the Girl's surface

Cites Work

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• Topological equivalence of smooth functions with isolated critical points on a closed surface
• Optimal Morse-Smale flows with singularities on the boundary of a surface
• Classification of Morse-Smale flows on two-dimensional manifolds
• A multicolour graph as a complete topological invariant for $ \Omega$-stable flows without periodic trajectories on surfaces
• Потоки Морса-Смейла на торі з діркою
• Trajectory equivalence of optimal Morse flows on closed surfaces

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