Lyapunov spectrum of chaotic maps with a long-range coupling mediated by a diffusing substance

Autor(es)

Viana, R. L. ; Batista, A. M. ; Batista, C. A. S. ; Iarosz, K. C.

• Tipo de documento: Artigo Científico
• Fonte: NONLINEAR DYNAMICS; v. 87, n. 3, p. 1589-1601, FEB 2017.
• Citações Web of Science: 1

Resumo

We investigate analytically and numerically coupled lattices of chaotic maps where the interaction is non-local, i.e., each site is coupled to all the other sites but the interaction strength decreases exponentially with the lattice distance. This kind of coupling models an assembly of pointlike chaotic oscillators in which the coupling is mediated by a rapidly diffusing chemical substance. We consider a case of a lattice of Bernoulli maps, for which the Lyapunov spectrum can be analytically computed and also the completely synchronized state of chaotic Ulam maps, for which we derive analytically the Lyapunov spectrum. (AU)

• Processo FAPESP: 16/16148-5 - Comportamento síncrono e plasticidade sináptica em redes complexas
• Beneficiário: Kelly Cristiane Iarosz
• Modalidade de apoio: Bolsas no Exterior - Estágio de Pesquisa - Pós-Doutorado