منابع مشابه
Renormalization Analysis of Intermittency in Two Coupled Maps
The critical behavior for intermittency is studied in two coupled one-dimensional (1D) maps. We find two fixed maps of an approximate renormalization operator in the space of coupled maps. Each fixed map has a common relavant eigenvalue associated with the scaling of the control parameter of the uncoupled one-dimensional map. However, the relevant “coupling eigenvalue” associated with coupling ...
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In this study, we investigate switching synchronization phenomena which are observed in coupled chaotic maps. Two logistic maps with generating intermittency chaos near three periodic window are coupled as a CML coupling topology. Moreover, we compare obtained synchronization states of coupled maps with coupled chaotic circuits.
متن کاملA ug 1 99 8 Intermittency in coupled maps
Using a renormalization method, we study the critical behavior for intermittency in two coupled one-dimensional (1D) maps. We find two fixed maps of the renormalization transformation. They all have common relevant eigenvalues associated with scaling of the control parameter of the uncoupled 1D map. However, the relevant “coupling eigenvalues” associated with coupling perturbations vary dependi...
متن کاملIntermittency and Synchronisation in Gumowski-Mira Maps
The Gumowski-Mira map is a 2-dimensional recurrence relation that provide a large variety of phase space plots resembling fractal patterns of nature. We investigate the nature of the dynamical states that produce these patterns and find that they correspond to Type I intermittency near periodic cycles. By coupling two GM maps, such patterns can be wiped out to give synchronised periodic states ...
متن کاملEvidence for directed percolation universality at the onset of spatiotemporal intermittency in coupled circle maps.
We consider a lattice of coupled circle maps, a popular model for the study of mode-locked phenomena. We find that the onset of spatiotemporal intermittency (STI) in this system is analogous to directed percolation (DP), with the transition being to a unique absorbing state for low nonlinearities, and to weakly chaotic absorbing states for high nonlinearities. We find that the complete set of s...
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ژورنال
عنوان ژورنال: Physical Review E
سال: 1999
ISSN: 1063-651X,1095-3787
DOI: 10.1103/physreve.59.2887