Collision of Feigenbaum cascades

Anno: 1984

Autori: Oppo G.L., Politi A.

Affiliazione autori: Istituto Nazionale di Ottica, Largo E. Fermi 6, 50125 Firenze, Italy

Abstract: The existence in dynamical systems of chaotic bands delimited on both sides by period-doubling cascades is a general two-parameter phenomenon. Evidence is presented to show that, whenever these chaotic regions disappear, the bifurcation convergence rate undergoes a slowing down and asymptotically approaches the square root of the universal number delta = approximately 4.6692. A simple renormalization-group analysis is performed to explain this critical behavior and its scaling properties. In particular a theoretical universal function describing the evolution of the convergence rate from sq rt delta to delta is given and numerically verified.

Giornale/Rivista: PHYSICAL REVIEW A

Volume: 30 (1)      Da Pagina: 435  A: 441

Parole chiavi: nonlinear systems; stocastic processes;
DOI: 10.1103/PhysRevA.30.435

Citazioni: 25
dati da “WEB OF SCIENCE” (of Thomson Reuters) aggiornati al: 2024-05-12
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