Artículo
Chaos in kicked ratchets
Fecha de publicación:
03/2015
Editorial:
American Physical Society
Revista:
Physical Review E: Statistical, Nonlinear and Soft Matter Physics
ISSN:
1539-3755
Idioma:
Inglés
Tipo de recurso:
Artículo publicado
Clasificación temática:
Resumen
We present a minimal one-dimensional deterministic continuous dynamical system that exhibits chaotic behavior and complex transport properties. Our model is an overdamped rocking ratchet with finite dissipation, that is periodically kicked with a δ function driving force, without finite inertia terms or temporal or spatial stochastic forces. To our knowledge this is the simplest model reported in the literature for a ratchet, with this complex behavior. We develop an analytical approach that predicts many key features of the system, such as current reversals, as well as the presence of chaotic behavior and bifurcation. Our analytical approach allows us to study the transition from regular to chaotic motion as well as a tangent bifurcation associated with this transition. We show that our approach can be easily extended to other types of periodic driving forces. The square wave is shown as an example.
Palabras clave:
KICKED RATCHETS
,
SYNCRONIZATION
,
CURRENT
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Identificadores
Colecciones
Articulos(CCT - MAR DEL PLATA)
Articulos de CTRO.CIENTIFICO TECNOL.CONICET - MAR DEL PLATA
Articulos de CTRO.CIENTIFICO TECNOL.CONICET - MAR DEL PLATA
Citación
Zarlenga, Daniel Gustavo; Larrondo, Hilda Angela; Arizmendi, Constancio Miguel; Family, Fereydoon; Chaos in kicked ratchets; American Physical Society; Physical Review E: Statistical, Nonlinear and Soft Matter Physics; 91; 3; 3-2015; 1-7
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