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...

Full description

Saved in:
Bibliographic Details
Published in:Chaos (Woodbury, N.Y.) N.Y.), 2006-09, Vol.16 (3), p.033127-033127-7
Main Authors: Haro, Àlex, Puig, Joaquim
Format: Article
Language:English
Subjects:
Algorithms
Computer Simulation
Mathematics
Models, Statistical
Models, Theoretical
Nonlinear Dynamics
Physics - methods
Quantum field theory
Quantum theory
Relativitat especial (Física)
Special relativity (Physics)
Systems Theory
Teoria quàntica
Teoria quàntica de camps
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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.
ISSN:1054-1500
1089-7682
DOI:10.1063/1.2259821