Islands of accelerator modes and homoclinic tangles

DOI10.1063/1.166444zbMath0987.37049OpenAlexW1966964993WikidataQ52015382 ScholiaQ52015382MaRDI QIDQ4515113

George M. Zaslavsky, Vered Rom-Kedar

Publication date: 12 November 2000

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

Full work available at URL: https://doi.org/10.1063/1.166444

zbMATH Keywords

standard mapanomalous transportresonant islandsaccelerator modesnear-integrable limittangle island categorytangle islandsweb map

Mathematics Subject Classification ID

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Cites Work

• A criterion for the non-existence of invariant circles
• Resonances in area-preserving maps
• Transport in two-dimensional maps
• Area preserving nontwist maps: Periodic orbits and transition to chaos
• Symplectic maps, variational principles, and transport
• Josephson's junction, annulus maps, Birkhoff attractors, horseshoes and rotation sets
• Quasi-Elliptic Periodic Points in Conservative Dynamical Systems
• Elliptic islands appearing in near-ergodic flows
• Near threshold anomalous transport in the standard map
• Secondary homoclinic bifurcation theorems
• Homoclinic tangles-classification and applications
• Self-similarity, renormalization, and phase space nonuniformity of Hamiltonian chaotic dynamics

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