The numerical approximation of center manifolds in Hamiltonian systems.

DOI10.1016/j.jmaa.2003.05.001zbMath1041.65101OpenAlexW2059310833MaRDI QIDQ1421173

Wolf-Jürgen Beyn, Weihua Du

Publication date: 26 January 2004

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2003.05.001

zbMATH Keywords

equilibrium pointsHamiltonian systemscomputation of local center manifoldssymplectic integrates

Mathematics Subject Classification ID

Invariant manifold theory for dynamical systems (37D10) Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15)

Cites Work

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• Applications of centre manifold theory
• Hamiltonian and Lagrangian flows on center manifolds with applications to elliptic variational problems
• Numerical Taylor expansions of invariant manifolds in large dynamical systems
• Wave-solutions of reversible systems and applications
• Stable Solvers and Block Elimination for Bordered Systems
• Mixed block elimination for linear systems with wider borders
• Introduction to Hamiltonian dynamical systems and the \(N\)-body problem

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