Volume 117, Number 6, March 2017
|Number of page(s)||5|
|Published online||12 May 2017|
Spectral statistics of Lyapunov exponents in coupled map networks
Indian Institute of Science Education and Research Kolkata - Mohanpur, Nadia 741246, India
Received: 7 December 2016
Accepted: 25 April 2017
Spectral statistics of the Lyapunov exponents computed for coupled map networks bear strong signatures of different phases emergent from the spatiotemporal dynamics. We find that the distributions of gaps in the Lyapunov spectrum for the chaotic and the synchronized phases show Poisson and GOE statistics, respectively, in agreement with the universal predictions of the random matrix theory. The presence of quenched disorder in coupled map networks generates a non-trivial chaotic Griffiths phase for intermediate coupling strengths. The Lyapunov spectral statistics obtained for the chaotic Griffiths phase show strong suppression of gaps and the Lyapunov vectors indicate a unique intermittent dynamical localization.
PACS: 05.45.Xt – Synchronization; coupled oscillators / 05.45.Ra – Coupled map lattices / 64.60.aq – Networks
© EPLA, 2017
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