A classical approach to the analyticity problem of center manifolds
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Publication:1058043
DOI10.1007/BF00949030zbMath0564.34046OpenAlexW1974616107MaRDI QIDQ1058043
Publication date: 1985
Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf00949030
Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Ordinary differential equations and systems on manifolds (34C40)
Related Items (10)
Lower bounds for the cyclicity of centers of quadratic three-dimensional systems ⋮ Properties of monodromic points on center manifolds in \(\mathbb R^3\) via Lie symmetries ⋮ On the existence and uniqueness of solutions to the output regulation equations for periodic exosystems ⋮ A hybrid symbolic-numerical approach to the center-focus problem ⋮ Center cyclicity of Lorenz, Chen and Lü systems ⋮ Cyclicity of polynomial nondegenerate centers on center manifolds ⋮ Bernd Aulbach—Obituary ⋮ Quasi-periodic solutions for perturbed autonomous delay differential equations ⋮ Limit cycles for the competitive three dimensional Lotka-Volterra system ⋮ Patchy solution of a Francis-Byrnes-Isidori partial differential equation
Cites Work
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- A note on Liapunov's center theorem
- Hopf's bifurcation theorem and the center theorem of Liapunov with resonance cases
- Linearization of reversible systems
- Local theory of nonlinear analytic ordinary differential equations
- On the Liapunov subcenter manifold
- Analytic two-dimensional subcenter manifolds for systems with an integral
- Periodic Solutions of Hamiltonian Systems: A Survey
- Analytic Center Manifolds of Dimension One
- Reversible Diffeomorphisms and Flows
- Global Bifurcations of Periodic Orbits
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