Dynamical behaviors and generalized synchronization play an important role in chaotic application. In this paper, bi-stability and the Hamilton energy are discussed in a one-parameter chaotic system in complex field. Then, based on the Lyapunov stability theory, a scheme of complex generalized synchronization with regard to a complex vector map (CGS) is designed for complex dynamical system with complex parameters. Finally, CGS of coexisting chaotic attractors as well as two strictly different complex chaotic systems is achieved.

中文翻译：

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复变混沌系统的复广义同步

动态行为和广义同步在混沌应用中起着重要作用。本文讨论了复杂场中单参数混沌系统的双稳态和哈密顿能量。然后，基于Lyapunov稳定性理论，针对具有复杂参数的复杂动力系统，设计了一种关于复杂向量图(CGS)的复杂广义同步方案。最后，实现了共存混沌吸引子以及两个严格不同的复杂混沌系统的 CGS。