Eur. Phys. J. B 22, 223-228 (2001)
https://doi.org/10.1007/s100510170130

Synchronization learning of coupled chaotic maps

¹ Centro Atómico Bariloche and Instituto Balseiro, 8400 Bariloche, Argentina
² Consejo Nacional de Investigaciones Científicas y Técnicas, Argentina

Corresponding author: ^a abramson@cab.cnea.gov.ar

Received: 5 February 2001
Published online: 15 July 2001

Abstract

We study the dynamics of an ensemble of globally coupled chaotic logistic maps under the action of a learning algorithm aimed at driving the system from incoherent collective evolution to a state of spontaneous full synchronization. Numerical calculations reveal a sharp transition between regimes of unsuccessful and successful learning as the algorithm stiffness grows. In the regime of successful learning, an optimal value of the stiffness is found for which the learning time is minimal.