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Inducing coherence in networks of bistable maps by varying the interaction range.
Lind, Pedro G; Corte-Real, João; Gallas, Jason A C.
Afiliação
  • Lind PG; Instituto de Física, Universidade Federal do Rio Grande do Sul, 91501-970 Porto Alegre, Brazil.
Phys Rev E Stat Nonlin Soft Matter Phys ; 69(2 Pt 2): 026209, 2004 Feb.
Article em En | MEDLINE | ID: mdl-14995550
Ordinarily, two different topologies have been used to model spatiotemporal chaos and to study complexity in networks of maps: one where sites interact only with nearest neighbors (e.g., the standard diffusive coupling) and one where sites interact with all sites in the network (global coupling). Here we investigate intermediate regimes considering the interaction range as a free tunable parameter. The synchronization behavior normally seen in globally coupled maps is found to set in for interaction ranges considerably smaller than the system size. In addition, we analytically derive stability conditions for the onset of coherent states (full synchronization) from which the minimum interaction range needed to induce coherence in homogeneously coupled maps can be determined. Such conditions are also obtained for inhomogeneous situations when the coupling strength decreases linearly with the distance. The characteristic range for the onset of coherence is studied in detail as a function of model parameters.
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Coleções: 01-internacional Base de dados: MEDLINE Tipo de estudo: Prognostic_studies Idioma: En Revista: Phys Rev E Stat Nonlin Soft Matter Phys Assunto da revista: BIOFISICA / FISIOLOGIA Ano de publicação: 2004 Tipo de documento: Article País de afiliação: Brasil País de publicação: Estados Unidos
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Coleções: 01-internacional Base de dados: MEDLINE Tipo de estudo: Prognostic_studies Idioma: En Revista: Phys Rev E Stat Nonlin Soft Matter Phys Assunto da revista: BIOFISICA / FISIOLOGIA Ano de publicação: 2004 Tipo de documento: Article País de afiliação: Brasil País de publicação: Estados Unidos