Universality in the quasiperiodic route to chaos

DOI10.1063/1.166155zbMath1055.37517OpenAlexW2084135628WikidataQ35142520 ScholiaQ35142520MaRDI QIDQ4526356

Tony Gherghetta, Tony W. Dixon, B. G. Kenny

Publication date: 16 January 2001

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

Full work available at URL: https://doi.org/10.1063/1.166155

Mathematics Subject Classification ID

Dynamical systems involving maps of the circle (37E10) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Forced convection (76R05)

Related Items (5)

Rigidity of smooth critical circle maps ⋮ Organized periodic structures and coexistence of triple attractors in a predator-prey model with fear and refuge ⋮ Self-similarities of periodic structures for a discrete model of a two-gene system ⋮ Multiparameter critical situations, universality and scaling in two-dimensional period-doubling maps ⋮ Dynamics of multicritical circle maps

Cites Work

• Universal properties of the transition from quasi-periodicity to chaos in dissipative systems
• The universal metric properties of nonlinear transformations
• Functional equations for circle homeomorphisms with golden ratio rotation number
• Map dependence of the fractal dimension deduced from iterations of circle maps
• Occurrence of strange Axiom A attractors near quasi periodic flows on \(T^m\), \(m\geq 3\)
• Quantitative universality for a class of nonlinear transformations
• On the nature of turbulence
• On the mode-locking universality for critical circle maps
• Fractal measures and their singularities: The characterization of strange sets
• Universal strange attractors on wrinkled tori
• Small denominators. I. Mappings of the circumference onto itself
• Two-Dimensional Measure-Preserving Mappings

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