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- Peixoto's_theorem abstract "In the theory of dynamical systems, Peixoto theorem, proved by Maurício Peixoto, states that among all smooth flows on surfaces, i.e. compact two-dimensional manifolds, structurally stable systems may be characterized by the following properties: The set of non-wandering points consists only of periodic orbits and fixed points. The set of fixed points is finite and consists only of hyperbolic equilibrium points. Finiteness of attracting or repelling periodic orbits. Absence of saddle-to-saddle connections.Moreover, they form an open set in the space of all flows endowed with C1 topology.".
- Peixoto's_theorem wikiPageID "3949356".
- Peixoto's_theorem wikiPageRevisionID "475231883".
- Peixoto's_theorem hasPhotoCollection Peixoto's_theorem.
- Peixoto's_theorem subject Category:Stability_theory.
- Peixoto's_theorem subject Category:Theorems_in_dynamical_systems.
- Peixoto's_theorem type Abstraction100002137.
- Peixoto's_theorem type Attribute100024264.
- Peixoto's_theorem type Communication100033020.
- Peixoto's_theorem type DynamicalSystem106246361.
- Peixoto's_theorem type DynamicalSystems.
- Peixoto's_theorem type Message106598915.
- Peixoto's_theorem type PhaseSpace100029114.
- Peixoto's_theorem type Proposition106750804.
- Peixoto's_theorem type Space100028651.
- Peixoto's_theorem type Statement106722453.
- Peixoto's_theorem type Theorem106752293.
- Peixoto's_theorem type TheoremsInDynamicalSystems.
- Peixoto's_theorem comment "In the theory of dynamical systems, Peixoto theorem, proved by Maurício Peixoto, states that among all smooth flows on surfaces, i.e. compact two-dimensional manifolds, structurally stable systems may be characterized by the following properties: The set of non-wandering points consists only of periodic orbits and fixed points. The set of fixed points is finite and consists only of hyperbolic equilibrium points. Finiteness of attracting or repelling periodic orbits.".
- Peixoto's_theorem label "Peixoto's theorem".
- Peixoto's_theorem sameAs m.0b866d.
- Peixoto's_theorem sameAs Q7160983.
- Peixoto's_theorem sameAs Q7160983.
- Peixoto's_theorem sameAs Peixoto's_theorem.
- Peixoto's_theorem wasDerivedFrom Peixoto's_theorem?oldid=475231883.
- Peixoto's_theorem isPrimaryTopicOf Peixoto's_theorem.