Amplification and displacement of chaotic attractors by means of unidirectional chaotic driving

Chaotic systems, when used to drive copies of themselves (or parts of themselves) may induce interesting behaviors in the driven system. In case the later exhibits invariance under amplification or translation, they may show amplification (reduction), or displacement of the attractor. It is shown ho...

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Detalhes bibliográficos
Autor: González-Miranda, J. M. (Jesús Manuel)
Formato: artículo
Estado:Versión publicada
Fecha de publicación:1998
País:España
Recursos:Universidad de Barcelona
Repositorio:Dipòsit Digital de la UB
OAI Identifier:oai:diposit.ub.edu:2445/18799
Acesso em linha:https://hdl.handle.net/2445/18799
Access Level:acceso abierto
Palavra-chave:Caos (Teoria de sistemes)
Òptica no lineal
Dinàmica de fluids
Chaotic behavior in systems
Nonlinear optics
Fluid dynamics
Descrição
Resumo:Chaotic systems, when used to drive copies of themselves (or parts of themselves) may induce interesting behaviors in the driven system. In case the later exhibits invariance under amplification or translation, they may show amplification (reduction), or displacement of the attractor. It is shown how the behavior to be obtained is implied by the symmetries involved. Two explicit examples are studied to show how these phenomena manifest themselves under perfect and imperfect coupling.