The obstruction criterion for non-existence of invariant circles and renormalization
Authors:
- Rafael de la LlaveRLRafael de la Llave
- Arturo OlveraAOArturo Olvera
- 17 July 2006
- journal article
- Published by IOP Publishing in Nonlinearity
- Vol. 19 (8) , 1907-1937
Abstract
No abstract availableKeywords
This publication has 36 references indexed in Scilit:
- The parameterization method for invariant manifolds II: regularity with respect to parametersIndiana University Mathematics Journal, 2003
- The parameterization method for invariant manifolds I: Manifolds associated to non-resonant subspacesIndiana University Mathematics Journal, 2003
- Renormalization and Periodic Orbits¶for Hamiltonian FlowsCommunications in Mathematical Physics, 2000
- A geometric criterion for positive topological entropyCommunications in Mathematical Physics, 1995
- Numerical calculation of domains of analyticity for perturbation theories in the presence of small divisorsJournal of Statistical Physics, 1992
- A rigorous partial justification of Greene's criterionJournal of Statistical Physics, 1992
- The Concept of Anti-Integrability: Definition, Theorems and Applications to the Standard Map1992
- A complete proof of the Feigenbaum conjecturesJournal of Statistical Physics, 1987
- Invariant circles and the order structure of periodic orbits in monotone twist mapsTopology, 1987
- Universal properties of maps on an intervalCommunications in Mathematical Physics, 1980