From synchronization to Lyapunov exponents and back
نویسندگان
چکیده
منابع مشابه
Clustering and synchronization with positive Lyapunov exponents
Clustering and correlation effects are frequently observed in chaotic systems in situations where, because of the positivity of the Lyapunov exponents, no dimension reduction is to be expected. In this paper, using a globally coupled network of Bernoulli units, one finds a general mechanism by which strong correlations and slow structures are obtained at the synchronization edge. A structure in...
متن کاملOn Synchronization With Positive Conditional Lyapunov Exponents
Synchronization of chaotic system may occur only when the largest conditional Lyapunov exponent of the driven system is negative. The synchronization with positive conditional Lyapunov reported in a recent paper (Phys. Rev. E, 56, 2272 (1997)) is a combined result of the contracting region of the system and the finite precision in computer simulations. PACS number(s): 05.45.+b;
متن کاملLyapunov exponents, noise-induced synchronization, and Parrondo's paradox.
We show that Lyapunov exponents of a stochastic system, when computed for a specific realization of the noise process, are related to conditional Lyapunov exponents in deterministic systems. We propose to use the term stochastically induced regularity instead of noise-induced synchronization and explain the reason why. The nature of stochastically induced regularity is discussed: in some instan...
متن کاملSynchronization and Maximum Lyapunov Exponents of Cellular Automata
We study the synchronization of totalistic one dimensional cellular automata (CA). The CA with a non zero synchronization threshold exhibit complex non periodic space time patterns and conversely. This synchronization transition is related to directed percolation. We study also the maximum Lyapunov exponent for CA, defined in analogy with continuous dynamical systems as the exponential rate of ...
متن کاملSupreme Local Lyapunov exponents and Chaotic impulsive Synchronization
Impulsively synchronized chaos with criterion from conditional Lyapunov exponent is often interrupted by desynchronized bursts. This is because the Lyapunov exponent can not characterize local instability of synchronized attractor. To predict the possibility of the local instability, we introduce a concept of supreme local Lyapunov exponent (SLLE), which is defined as supremum of local Lyapunov...
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ژورنال
عنوان ژورنال: Physica D: Nonlinear Phenomena
سال: 2006
ISSN: 0167-2789
DOI: 10.1016/j.physd.2006.09.032