Synchronization of Coupled Stochastic Systems Driven by Non-Gaussian L\'evy Noises

TL;DR

This paper investigates how coupled stochastic systems influenced by non-Gaussian Le9vy noises synchronize, extending previous research by analyzing solutions' synchronization under specific conditions.

Contribution

It generalizes prior work by establishing synchronization results for coupled systems driven by non-Gaussian Le9vy noises under dissipative and integrability conditions.

Findings

Synchronization between two solutions established

Synchronization among different components demonstrated

Results extend previous Gaussian noise studies

Abstract

We consider the synchronization of the solutions to coupled stochastic systems of $N$-stochastic ordinary differential equations (SODEs) driven by Non-Gaussian L\'evy noises ($N\in \mathbb{N})$. We discuss the synchronization between two solutions and among different components of solutions under certain dissipative and integrability conditions. Our results generalize the present work obtained in Liu et al (2010) and Shen et al (2010).