Reducing or enhancing chaos using periodic orbits

DOI10.1063/1.2189157zbMath1146.37307arXivnlin/0601043OpenAlexW3100463065WikidataQ79842802 ScholiaQ79842802MaRDI QIDQ3531576

R. Bachelard, Xavier Leoncini, Cristel Chandre

Publication date: 3 November 2008

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/nlin/0601043

Mathematics Subject Classification ID

Hamilton's equations (70H05) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

Cites Work

• An obstruction method for the destruction of invariant curves
• Renormalization-group analysis for the transition to chaos in Hamiltonian systems
• Elimination of stochasticity in stellarators
• Linear stability of symplectic maps
• Stochasticity reduction
• Greene's residue criterion
• Universal pattern underlying the recurrence of Kolmogorov-Arnol’d-Moser tori
• Localized control for non-resonant Hamiltonian systems

This page was built for publication: Reducing or enhancing chaos using periodic orbits