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Regular version of the site

Article

Emergence of collective behavior in dynamical networks

Discrete and Continuous Dynamical Systems - Series B. 2013. Vol. 18. No. 2. P. 313-329.

One of the main paradigms of the theory of weakly interacting
chaotic systems is the absence of phase transitions in generic situation. We
propose a new type of multicomponent systems demonstrating in the weak
interaction limit both collective and independent behavior of local
components depending on fine properties of the interaction. The model under
consideration is related to dynamical networks and sheds a new light to the
problem of synchronization under weak interactions.