Synchronization of non-chaotic dynamical systems
Franco Bagnoli, Fabio Cecconi · 1999
A synchronization mechanism driven by annealed noise is studied for a system of stable coupled-map lattice exhibiting irregular behavior despite its Lyapunov spectrum is negative (Stable-Chaos). We show that the observed synchronization transition on changing the strength of noise belongs to the directed percolation universality class. The noise threshold after which two replicas of the system synchronize is strictly related to the propagation velocity of perturbations in the system. Typeset using REVTEX 1 In extended systems, the occurrence of chaotic evolution in the presence of a negative maximum Lyapunov exponent is an interesting phenomenon that can exist only in the thermodynamic limit. Although this phenomenon has been observed in several models such as coupled maps [1–3] and oscillators [4], no clear explanation of the mechanisms still exists. As the negative Lyapunov spectrum prescribes, the dynamics of such systems eventually falls onto a periodic attractor, but the time required to achieve the asymptotic state (transient