Smooth conjugacy of centre manifolds

DOI10.1017/S0308210500014980zbMath0745.34040MaRDI QIDQ3991033

Kening Lu, Bo Deng, Almut Burchard

Publication date: 28 June 1992

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

zbMATH Keywords

ordinary differential equationssemilinear parabolic equationsgeometric theory of invariant foliationslocal centre manifolds

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Stability in context of PDEs (35B35) Dynamics induced by group actions other than (mathbb{Z}) and (mathbb{R}), and (mathbb{C}) (37C85) Asymptotic properties of solutions to ordinary differential equations (34D05) Stability of manifolds of solutions to ordinary differential equations (34D35)

Related Items (11)

Critical saddle-node bifurcations and Morse-Smale maps ⋮ On invariant manifolds and invariant foliations without a spectral gap ⋮ Conjugate dynamics on center-manifolds for stochastic partial differential equations ⋮ Lower bounds for the cyclicity of centers of quadratic three-dimensional systems ⋮ The center problem on a center manifold in \(\mathbb{R}^{3}\) ⋮ Theory of invariant manifold and foliation and uniqueness of center manifold dynamics ⋮ Existence of inverse Jacobi multipliers around Hopf points in \(\mathbb R^3\): emphasis on the center problem ⋮ Properties of monodromic points on center manifolds in \(\mathbb R^3\) via Lie symmetries ⋮ Cyclicity of polynomial nondegenerate centers on center manifolds ⋮ Invariant foliations for parabolic equations ⋮ Invariant foliations near normally hyperbolic invariant manifolds for semiflows

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• Topological equivalence of normally hyperbolic dynamical systems
• The stable, center-stable, center, center-unstable, unstable manifolds
• On Morse-Smale dynamical systems
• Homoclinic Bifurcations with Nonhyperbolic Equilibria
• C^k centre unstable manifolds
• Stable manifolds for hyperbolic sets
• Invariant manifolds

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