TY - JOUR
T1 - A master stability function for stochastically coupled chaotic maps
AU - Porfiri, M.
PY - 2011/11
Y1 - 2011/11
N2 - In this paper, we present a master stability function (MSF) for the synchronization of identical maps coupled by a class of stochastically switching weighted directed networks that encompasses Erds-Rényi and numerosity-constrained models. Similarly to the classical MSF for static networks, the stochastic MSF allows for assessing synchronization in terms of spectral properties of the coupling network. Computation of the MSF involves the estimate of the Lyapunov exponents for an auxiliary dynamical system as a function of two independent parameters that are related to the spectral properties of the expectation and autocorrelation of the coupling matrix. We illustrate the results through simulations on chaotic Henon maps coupled through a numerosity-constrained network.
AB - In this paper, we present a master stability function (MSF) for the synchronization of identical maps coupled by a class of stochastically switching weighted directed networks that encompasses Erds-Rényi and numerosity-constrained models. Similarly to the classical MSF for static networks, the stochastic MSF allows for assessing synchronization in terms of spectral properties of the coupling network. Computation of the MSF involves the estimate of the Lyapunov exponents for an auxiliary dynamical system as a function of two independent parameters that are related to the spectral properties of the expectation and autocorrelation of the coupling matrix. We illustrate the results through simulations on chaotic Henon maps coupled through a numerosity-constrained network.
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U2 - 10.1209/0295-5075/96/40014
DO - 10.1209/0295-5075/96/40014
M3 - Article
AN - SCOPUS:81155126165
VL - 96
JO - Journal de Physique (Paris), Lettres
JF - Journal de Physique (Paris), Lettres
SN - 0295-5075
IS - 4
M1 - 40014
ER -