Persistent manifolds are normally hyperbolic

DOI10.1090/S0002-9904-1974-13366-5zbMath0276.58009OpenAlexW2013512541MaRDI QIDQ4403049

Ricardo Mañé

Publication date: 1974

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9904-1974-13366-5

Mathematics Subject Classification ID

Stability theory for smooth dynamical systems (37C75) Dynamical systems with hyperbolic behavior (37D99)

Related Items (16)

Exponential estimates of symplectic slow manifolds ⋮ Normal hyperbolicity and linearisability ⋮ The Spectral Characterization of Normal Hyperbolicity ⋮ Area-Preserving Diffeomorphisms from theC 1Standpoint ⋮ The spectrum of an invariant submanifold ⋮ Spectral theory for linearizations of dynamical systems ⋮ The spectrum of the adjoint representation and the hyperbolicity of dynamical systems ⋮ Transition state theory with quasi-periodic forcing ⋮ Observational noise in skew product systems ⋮ Partial hyperbolicity and classification: a survey ⋮ Characterisation of quasi-Anosov diffeomorphisms ⋮ Reconstructing attractors from filtered time series ⋮ Stable ergodicity ⋮ A Geometric Criterion for Hyperbolicity of Flows ⋮ Immediate conditional hyperbolicity in dynamical systems ⋮ Bifurcations de points fixes elliptiques. I: Courbes invariantes

Cites Work

• Differentiable dynamical systems
• Invariant manifolds
• Invariant manifolds
• Unnamed Item

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