Partial and complete linearisations at stationary points of infinite-dimensional dynamical systems with foliations and applications

DOI10.1017/S030821050002326XzbMath0941.37011MaRDI QIDQ4715346

William M. Rivera

Publication date: 12 November 1996

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

zbMATH Keywords

spectrumpartially linearised mapssmooth invariant foliationsstrong \(\lambda\) lemmas

Mathematics Subject Classification ID

Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Stability theory for smooth dynamical systems (37C75)

Cites Work

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• The Sil'nikov problem, exponential expansion, strong \(\lambda\)-lemma, \(C^ 1\)-linearization, and homoclinic bifurcation
• A Hartman-Grobman theorem for scalar reaction-diffusion equations
• A partial differential equation with infinitely many periodic orbits: Chaotic oscillations of a forced beam
• Local Contractions and a Theorem of Poincare
• On a Theorem of P. Hartman

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