Circle maps with symmetry-breaking perturbations

DOI10.1016/0167-2789(92)90088-5zbMath0759.58038OpenAlexW2085332188MaRDI QIDQ1197489

Torbjörn Einarsson, Anders B. Eriksson, Stellan Ostlund

Publication date: 16 January 1993

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(92)90088-5

zbMATH Keywords

renormalizationcircle mapsuniversal exponents

Mathematics Subject Classification ID

Topological dynamics (37B99) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Periodic and quasi-periodic flows and diffeomorphisms (37C55)

Related Items

Renormalisation of bicritical circle maps ⋮ Renormalization in a circle map with two inflection points

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
• The universal metric properties of nonlinear transformations
• Renormalization in a circle map with two inflection points
• Higher-order fixed points of the renormalisation operator for invariant circles