SYNCHRONIZATION OF SYSTEMS WITH FRACTIONAL ENVIRONMENTAL NOISES ON FINITE LATTICE

What is it about?

This paper is devoted to the study of synchronous phenomena of the solutions to system driven by fractional environmental noises on finite lattice. Under certain dissipative and integrability conditions, we obtain the synchronization between two solutions, and among different components of solutions when the coupling coefficient tends to infinity. This indicates that no matter how large the intensity and what kinds of the noises perturb the system, the synchronization persists.

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Why is it important?

The synchronization of coupled systems is a ubiquitous phenomenon in the biological and physical science and is also known to occur in abundant of social science contexts.