Symbolic encoding in symplectic maps
Anno: 1996
Autori: Christiansen F., Politi A.
Affiliazione autori: Istituto Nazionale di Ottica, Largo E. Fermi 6, 50125 Firenze, Italy and INFM Sezione di Firenze, Italy
Abstract: A general procedure to construct a generating partition in 2D symplectic maps is introduced. The implementation of the method, specifically discussed with reference to the standard map, can be easily extended to any model where chaos originates from a horseshoe-type mechanism. Symmetries arising from the symplectic structure of the dynamics are exploited to eliminate the remaining ambiguities of the encoding procedure, so that the resulting symbolic dynamics possesses the same symmetry as that of the original model. Moreover, the dividing line of the partition turns out to pass through the stability islands, in such a way as to yield a proper representation of the quasiperiodic dynamics as well as of the chaotic component. As a final confirmation of the correctness of our approach, we construct the associated pruning front and show that it is monotonous.
Giornale/Rivista: NONLINEARITY
Volume: 9(6) Da Pagina: 1623 A: 1640
Parole chiavi: GENERATING PARTITIONS; HENON MAP; DOI: 10.1088/0951-7715/9/6/014Citazioni: 36dati da “WEB OF SCIENCE” (of Thomson Reuters) aggiornati al: 2024-05-12Riferimenti tratti da Isi Web of Knowledge: (solo abbonati) Link per visualizzare la scheda su IsiWeb: Clicca quiLink per visualizzare la citazioni su IsiWeb: Clicca qui