Fixed point theorems in the Arnol'd model about instability of the action-variables in phase-space

DOI10.3934/dcds.1998.4.379zbMath0970.37049OpenAlexW2071769004MaRDI QIDQ1576771

Paolo Perfetti

Publication date: 16 August 2000

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.1998.4.379

zbMATH Keywords

invariant setfixed pointHamiltonianPoincaré mapstable and unstable manifoldscontraction mappingconical metric

Mathematics Subject Classification ID

Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Periodic and quasi-periodic flows and diffeomorphisms (37C55) Nearly integrable Hamiltonian systems, KAM theory (70H08)

Related Items (1)

Hamiltonian systems with orbits covering densely submanifolds of small codimension

This page was built for publication: Fixed point theorems in the Arnol'd model about instability of the action-variables in phase-space