A new route to chaos: sequences of topological torus bifurcations.
Chaos
; 15(3): 33108, 2005 Sep.
Article
en En
| MEDLINE
| ID: mdl-16252982
ABSTRACT
We consider a sequence of topological torus bifurcations (TTBs) in a nonlinear, quasiperiodic Mathieu equation. The sequence of TTBs and an ensuing transition to chaos are observed by computing the principal Lyapunov exponent over a range of the bifurcation parameter. We also consider the effect of the sequence on the power spectrum before and after the transition to chaos. We then describe the topology of the set of knotted tori that are present before the transition to chaos. Following the transition, solutions evolve on strange attractors that have the topology of fractal braids in Poincare sections. We examine the topology of fractal braids and the dynamics of solutions that evolve on them. We end with a brief discussion of the number of TTBs in the cascade that leads to chaos.
Buscar en Google
Colección:
01-internacional
Base de datos:
MEDLINE
Asunto principal:
Relojes Biológicos
/
Algoritmos
/
Procesamiento de Señales Asistido por Computador
/
Dinámicas no Lineales
/
Fractales
/
Modelos Biológicos
Idioma:
En
Revista:
Chaos
Asunto de la revista:
CIENCIA
Año:
2005
Tipo del documento:
Article
País de afiliación:
Estados Unidos
Pais de publicación:
EEUU
/
ESTADOS UNIDOS
/
ESTADOS UNIDOS DA AMERICA
/
EUA
/
UNITED STATES
/
UNITED STATES OF AMERICA
/
US
/
USA