Criterion of globally complete chaos synchronization for diverse three-node VCSEL networks with coupling delays

Abstract

Abstract: For diverse three node vertical-cavity surface-emitting laser (VCSEL) networks, we proposed a new criterion of the globally complete chaos synchronization (GCCS) among all node lasers by using the mater-stability function (MSF). It is found that GCCS can be achieved for an arbitrarily given three-node VCSEL networks when two points determined by constant row sum and two transversal eigenvalues fall into the region of stability where MLE is negative and the MLE as a function of constant row sum and the eigenvalue associated to perturbations within the synchronization manifold is positive. The criterion can be generalized to multiple (more than four) nodes VCSEL networks. Based on the theoretical criterion and synchronization error theory, we further explored the synchronization properties in three-node VCSEL network with the ring topology. As a result, the theoretical criterion is in excellent agreement with our numerical results, which indicate that the theoretical criterion is valid and feasible.

Key words: lasers and laser optics, complete chaos synchronization, mater stability function, complex network, delayed optical feedback

ZHONG Dong-zhou*, XIAO Zhen-zhen, YANG Guang-ze. Criterion of globally complete chaos synchronization for diverse three-node VCSEL networks with coupling delays[J]. Chinese Journal of Quantum Electronics.

References

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