Invariant hyperbolic tori for Hamiltonian systems with Rüssmann nondegeneracy conditions

DOI10.1216/rmjm/1181071612zbMath0973.37036OpenAlexW2008385276MaRDI QIDQ1974418

Dejun Jin, Fuzhong Cong, Yong Li

Publication date: 23 November 2001

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://math.la.asu.edu/~rmmc/rmj/VOL29-3/CONT29-3/CONT29-3.html

zbMATH Keywords

perturbationintegrable Hamiltonian systemhyperbolic invariant toriRüssmann degeneracy condition

Mathematics Subject Classification ID

Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40)

Cites Work

• On elliptic lower dimensional tori in Hamiltonian systems
• Existence of KAM tori in degenerate Hamiltonian systems
• Invariant tori for nearly integrable Hamiltonian systems with degeneracy
• KAM-stable Hamiltonians
• On the conservation of hyperbolic invariant tori for Hamiltonian systems
• A lecture on the classical KAM theorem
• Integrability of hamiltonian systems on cantor sets
• Generalized implicit function theorems with applications to some small divisor problems, II
• PROOF OF A THEOREM OF A. N. KOLMOGOROV ON THE INVARIANCE OF QUASI-PERIODIC MOTIONS UNDER SMALL PERTURBATIONS OF THE HAMILTONIAN
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