Poincaré-Treshchev mechanism in multi-scale, nearly integrable Hamiltonian systems
type: Item
instance of: scholarly article
title: Poincaré-Treshchev mechanism in multi-scale, nearly integrable Hamiltonian systems
zbMATH Open document ID: 1407.37100
author: Lu Xu
author: Yong Li
author: Yingfei Yi
published in: Journal of Nonlinear Science
publication date: 2018-03-01T00:00:00Z
Mathematics Subject Classification ID: 37J40
Mathematics Subject Classification ID: 70H08
Mathematics Subject Classification ID: 37N05
zbMATH DE Number: 6845749
zbMATH Keywords: multi-scale Hamiltonian systems
zbMATH Keywords: high-order proper degeneracy
zbMATH Keywords: resonant tori
zbMATH Keywords: lower-dimensional tori
zbMATH Keywords: KAM theory
MaRDI profile type: Publication
full work available at URL: s00332-017-9410-5
OpenAlex ID: W2752322294
cites work: SMALL DENOMINATORS AND PROBLEMS OF STABILITY OF MOTION IN CLASSICAL AND CELESTIAL MECHANICS
cites work: N-Dimensional Elliptic Invariant Tori for the Planar (N+1)-Body Problem
cites work: On Jupiter and his Galilean satellites: librations of de Sitter's periodic motions
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cites work: A quasi-periodic Poincaré's theorem
cites work: Persistence of lower dimensional tori of general types in Hamiltonian systems
cites work: ON POINCARÉ - TRESHCHEV TORI IN HAMILTONIAN SYSTEMS
cites work: Scaling Hamiltonian Systems
cites work: Geometric Averaging of Hamiltonian Systems: Periodic Solutions, Stability, and KAM Tori
cites work: Regular and singular reductions in the spatial three-body problem
cites work: THE MECHANISM OF DESTRUCTION OF RESONANCE TORI OF HAMILTONIAN SYSTEMS
cites work: Corrigendum for the paper ``Invariant tori for nearly integrable Hamiltonian systems with degeneracy''
cites work: Invariant tori for nearly integrable Hamiltonian systems with degeneracy
cites work: Lower-dimensional tori in multi-scale, nearly integrable Hamiltonian systems
DOI: 10.1007/S00332-017-9410-5
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description: scientific article; zbMATH DE number 6845749