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- Morse–Smale_system abstract "In dynamical systems theory, an area of applied mathematics, a Morse–Smale system is a smooth dynamical system whose non-wandering set consists of finitely many hyperbolic equilibrium points and hyperbolic periodic orbits and satisfying a transversality condition on the stable and unstable manifolds. Morse–Smale systems are structurally stable and form one of the simplest and best studied classes of smooth dynamical systems. They are named after Marston Morse, the creator of the Morse theory, and Stephen Smale, who emphasized their importance for smooth dynamics and algebraic topology.For Morse–Smale systems on 2D-sphere all equilibrium points and periodical orbits are hyperbolic; there are no separatrice loops.Gradient-like dynamical systems are particular case of Morse–Smale systems.Theorem (Peixoto). The vector field on 2D manifold is structurally stable if and only if this field is Morse-Smale.".
- Morse–Smale_system thumbnail UprightTorusFlowLines.png?width=300.
- Morse–Smale_system wikiPageID "23024252".
- Morse–Smale_system wikiPageLength "2345".
- Morse–Smale_system wikiPageOutDegree "29".
- Morse–Smale_system wikiPageRevisionID "672693144".
- Morse–Smale_system wikiPageWikiLink Algebraic_topology.
- Morse–Smale_system wikiPageWikiLink Applied_mathematics.
- Morse–Smale_system wikiPageWikiLink Category:Dynamical_systems.
- Morse–Smale_system wikiPageWikiLink Compact_space.
- Morse–Smale_system wikiPageWikiLink Critical_point_(mathematics).
- Morse–Smale_system wikiPageWikiLink Dynamical_systems_theory.
- Morse–Smale_system wikiPageWikiLink Flow_(mathematics).
- Morse–Smale_system wikiPageWikiLink Gradient-like_vector_field.
- Morse–Smale_system wikiPageWikiLink Hyperbolic_equilibrium_point.
- Morse–Smale_system wikiPageWikiLink Hyperbolic_set.
- Morse–Smale_system wikiPageWikiLink Manifold.
- Morse–Smale_system wikiPageWikiLink Marston_Morse.
- Morse–Smale_system wikiPageWikiLink Morse_theory.
- Morse–Smale_system wikiPageWikiLink Peixoto.
- Morse–Smale_system wikiPageWikiLink Periodic_point.
- Morse–Smale_system wikiPageWikiLink Riemannian_manifold.
- Morse–Smale_system wikiPageWikiLink Separatrix_(mathematics).
- Morse–Smale_system wikiPageWikiLink Stable_manifold.
- Morse–Smale_system wikiPageWikiLink Stephen_Smale.
- Morse–Smale_system wikiPageWikiLink Structural_stability.
- Morse–Smale_system wikiPageWikiLink Wandering_set.
- Morse–Smale_system wikiPageWikiLink File:TiltedTorusFlowLines.png.
- Morse–Smale_system wikiPageWikiLink File:UprightTorusFlowLines.png.
- Morse–Smale_system wikiPageWikiLinkText "Morse–Smale system".
- Morse–Smale_system author "D. V. Anosov".
- Morse–Smale_system curator "Dr. Michael Shub".
- Morse–Smale_system id "M/m064990".
- Morse–Smale_system title "Morse-Smale systems".
- Morse–Smale_system title "Morse–Smale system".
- Morse–Smale_system urlname "Morse-Smale_systems".
- Morse–Smale_system wikiPageUsesTemplate Template:Eom.
- Morse–Smale_system wikiPageUsesTemplate Template:Mathanalysis-stub.
- Morse–Smale_system wikiPageUsesTemplate Template:Scholarpedia.
- Morse–Smale_system subject Category:Dynamical_systems.
- Morse–Smale_system hypernym System.
- Morse–Smale_system type Field.
- Morse–Smale_system type Mechanic.
- Morse–Smale_system type Physic.
- Morse–Smale_system type Redirect.
- Morse–Smale_system comment "In dynamical systems theory, an area of applied mathematics, a Morse–Smale system is a smooth dynamical system whose non-wandering set consists of finitely many hyperbolic equilibrium points and hyperbolic periodic orbits and satisfying a transversality condition on the stable and unstable manifolds. Morse–Smale systems are structurally stable and form one of the simplest and best studied classes of smooth dynamical systems.".
- Morse–Smale_system label "Morse–Smale system".
- Morse–Smale_system sameAs Q6914276.
- Morse–Smale_system sameAs m.064jyfg.
- Morse–Smale_system sameAs Q6914276.
- Morse–Smale_system wasDerivedFrom Morse–Smale_system?oldid=672693144.
- Morse–Smale_system depiction UprightTorusFlowLines.png.
- Morse–Smale_system isPrimaryTopicOf Morse–Smale_system.