A renormalization group explanation of numerical observations of analyticity domains

DOI10.1007/BF01054438zbMath0892.58072MaRDI QIDQ1203291

Rafael de la Llave

Publication date: 1 September 1994

Published in: Journal of Statistical Physics (Search for Journal in Brave)

zbMATH Keywords

renormalization groupanalyticity domainsbreakup of tori

Mathematics Subject Classification ID

Renormalization group methods in equilibrium statistical mechanics (82B28) Applications of dynamical systems (37N99)

Related Items (1)

Accurate computations up to breakdown of quasi-periodic attractors in the dissipative spin-orbit problem

Cites Work

• Unnamed Item
• Fractal boundary for the existence of invariant circles for area- preserving maps: Observations and renormalisation explanation
• A renormalization approach to invariant circles in area-preserving maps
• Erratic behavior of invariant circles in standard-like mappings
• Numerical calculation of domains of analyticity for perturbation theories in the presence of small divisors
• Natural boundaries for area-preserving twist maps
• New fixed point of the renormalisation operator associated with the recurrence of invariant circles in generic Hamiltonian maps

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