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- Normally_hyperbolic_invariant_manifold abstract "A normally hyperbolic invariant manifold (NHIM) is a natural generalization of a hyperbolic fixed point and a hyperbolic set. The difference can be described heuristically as follows: For a manifold to be normally hyperbolic we are allowed to assume that the dynamics of itself is neutral compared with the dynamics nearby, which is not allowed for a hyperbolic set. NHIMs were introduced by Neil Fenichel in 1972. In this and subsequent papers, Fenichel proves that NHIMs possess stable and unstable manifolds and more importantly, NHIMs and their stable and unstable manifolds persist under small perturbations. Thus, in problems involving perturbation theory, invariant manifolds exist with certain hyperbolicity properties, which can in turn be used to obtain qualitative information about a dynamical system.".
- Normally_hyperbolic_invariant_manifold wikiPageID "23814905".
- Normally_hyperbolic_invariant_manifold wikiPageRevisionID "486665434".
- Normally_hyperbolic_invariant_manifold hasPhotoCollection Normally_hyperbolic_invariant_manifold.
- Normally_hyperbolic_invariant_manifold subject Category:Dynamical_systems.
- Normally_hyperbolic_invariant_manifold type Abstraction100002137.
- Normally_hyperbolic_invariant_manifold type Attribute100024264.
- Normally_hyperbolic_invariant_manifold type DynamicalSystem106246361.
- Normally_hyperbolic_invariant_manifold type DynamicalSystems.
- Normally_hyperbolic_invariant_manifold type PhaseSpace100029114.
- Normally_hyperbolic_invariant_manifold type Space100028651.
- Normally_hyperbolic_invariant_manifold comment "A normally hyperbolic invariant manifold (NHIM) is a natural generalization of a hyperbolic fixed point and a hyperbolic set. The difference can be described heuristically as follows: For a manifold to be normally hyperbolic we are allowed to assume that the dynamics of itself is neutral compared with the dynamics nearby, which is not allowed for a hyperbolic set. NHIMs were introduced by Neil Fenichel in 1972.".
- Normally_hyperbolic_invariant_manifold label "Normally hyperbolic invariant manifold".
- Normally_hyperbolic_invariant_manifold sameAs m.06_w2xh.
- Normally_hyperbolic_invariant_manifold sameAs Q7051860.
- Normally_hyperbolic_invariant_manifold sameAs Q7051860.
- Normally_hyperbolic_invariant_manifold sameAs Normally_hyperbolic_invariant_manifold.
- Normally_hyperbolic_invariant_manifold wasDerivedFrom Normally_hyperbolic_invariant_manifold?oldid=486665434.
- Normally_hyperbolic_invariant_manifold isPrimaryTopicOf Normally_hyperbolic_invariant_manifold.