LYAPUNOV SPECTRUM OF CHAOTIC MAPS WITH A COUPLING MEDIATED BY A DIFFUSING SUBSTANCE

Ricardo Viana¹; Antonio Batista²; Kelly Iarosz³; Carlos Batista⁴

¹ Departamento de Física, Universidade Federal do Paraná, Curitiba, PR,; ² Departamento de Matemática e Estatística, Universidade Estadual de Ponta Grossa, Ponta Grossa, PR,; ³ Physics Institute, São Paulo University, São Paulo,; ⁴ Centro de Estudos do Mar, Universidade Federal do Paraná, Pontal do Paraná, Paraná,

doi:10.20906/CPS/NSC2016-0062

Resumo

We investigate the synchronization properties of networks of chaotic maps coupled through the influence of a rapidly diffusing substance, what induces a nonlocal cou- pling. The Lyapunov spectrum of the coupled map lattice is analytically obtained for chaotic maps with constant slope.

Palavras-chave: Synchronization in Nonlinear Systems,; Nonlinear Dynamics and Complex Systems; Complex Networks.