Parametric evolution of unstable dimension variability in coupled piecewise-linear chaotic maps.
Phys Rev E Stat Nonlin Soft Matter Phys
; 83(3 Pt 2): 037201, 2011 Mar.
Article
en En
| MEDLINE
| ID: mdl-21517629
In the presence of unstable dimension variability numerical solutions of chaotic systems are valid only for short periods of observation. For this reason, analytical results for systems that exhibit this phenomenon are needed. Aiming to go one step further in obtaining such results, we study the parametric evolution of unstable dimension variability in two coupled bungalow maps. Each of these maps presents intervals of linearity that define Markov partitions, which are recovered for the coupled system in the case of synchronization. Using such partitions we find exact results for the onset of unstable dimension variability and for contrast measure, which quantifies the intensity of the phenomenon in terms of the stability of the periodic orbits embedded in the synchronization subspace.
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Colección:
01-internacional
Base de datos:
MEDLINE
Idioma:
En
Revista:
Phys Rev E Stat Nonlin Soft Matter Phys
Asunto de la revista:
BIOFISICA
/
FISIOLOGIA
Año:
2011
Tipo del documento:
Article
País de afiliación:
Brasil
Pais de publicación:
Estados Unidos