Break-up of the spiral mean torus in a volume-preserving map

DOI10.1016/0960-0779(92)90007-AzbMath0757.58024OpenAlexW1963714346MaRDI QIDQ1193679

Roberto Artuso, Giulio Casati, Dima L. Shepelyansky

Publication date: 27 September 1992

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0960-0779(92)90007-a

zbMATH Keywords

renormalizationscalinguniversalityspiral mean torus

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70)

Related Items (4)

Numerical Computation of Critical Surfaces for the Breakup of Invariant Tori in Hamiltonian Systems ⋮ Greene's residue criterion for the breakup of invariant tori of volume-preserving maps ⋮ Patterns in chaos ⋮ Birkhoff averages and the breakdown of invariant tori in volume-preserving maps

Cites Work

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• Universal properties of the transition from quasi-periodicity to chaos in dissipative systems
• Fractal boundary for the existence of invariant circles for area- preserving maps: Observations and renormalisation explanation
• Nearly linear mappings and their applications
• A renormalization approach to invariant circles in area-preserving maps
• The universal metric properties of nonlinear transformations
• Correlation properties of dynamical chaos in Hamiltonian systems
• Patterns in chaos
• Critical Behavior of a KAM surface. I: Empirical results
• Passive scalars, three-dimensional volume-preserving maps, and chaos
• Fractal bifurcation sets, renormalization strange sets and their universal invariants

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