Strange nonchaotic attractors in Harper maps

We study the existence of strange nonchaotic attractors (SNA) in the family of Harper maps. We prove that for a set of parameters of positive measure, the map possesses a SNA. However, the set is nowhere dense. By changing the parameter arbitrarily small amounts, the attractor is a smooth curve and...

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Detalles Bibliográficos
Autores: Haro, Àlex, Puig i Sadurní, Joaquim
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2006
País:España
Institución:Universidad de Barcelona
Repositorio:Dipòsit Digital de la UB
OAI Identifier:oai:diposit.ub.edu:2445/21865
Acceso en línea:https://hdl.handle.net/2445/21865
Access Level:acceso abierto
Palabra clave:Teoria quàntica
Teoria quàntica de camps
Relativitat especial (Física)
Quantum theory
Quantum field theory
Special relativity (Physics)
Descripción
Sumario:We study the existence of strange nonchaotic attractors (SNA) in the family of Harper maps. We prove that for a set of parameters of positive measure, the map possesses a SNA. However, the set is nowhere dense. By changing the parameter arbitrarily small amounts, the attractor is a smooth curve and not a SNA.