Lower bounds of the splitting of the invariant manifolds.

DOI10.1016/j.crma.2005.04.020zbMath1069.37019OpenAlexW2069215839MaRDI QIDQ556954

Jean-Pierre Marco

Publication date: 23 June 2005

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2005.04.020

zbMATH Keywords

homoclinic pointGevrey classessymplectic structuresHamiltonian functionshyperbolic invariant torussplitting matrix

Mathematics Subject Classification ID

Invariant manifold theory for dynamical systems (37D10) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Related Items

Normal forms, stability and splitting of invariant manifolds. I: Gevrey Hamiltonians

Cites Work

• Complex analysis and convolution operators
• On the splitting of invariant manifolds in multidimensional near-integrable Hamiltonian systems