Synchronization in networked coupled multi-valued complex dynamical systems

Some studies have shown that coupled complex dynamical systems have more complex dynamics and wider application prospects compared with coupled real valued dynamical systems. The present paper formulates and studies a general model of networked coupled multi-valued complex dynamical systems. By analyzing the stability of synchronization manifold for such networked coupled complex dynamical systems, some novel yet generic criteria for both local and global synchronization are derived analytically. Subsequently, the obtained results are illustrated by a typical networked system composing of the representative complex Lorenz oscillators, and numerical simulations are given to verify and also visualize the theoretical results.