Dynamical properties and combination-combination complex synchronization of four novel chaotic complex systems
Dynamical properties and combination-combination complex synchronization of four novel chaotic complex systems
复制标题
四种新型混沌复杂系统的动力学性质及组合-组合复杂同步
DOI：
10.1016/j.ijleo.2015.10.110
复制
发表时间：
2016
期刊：
影响因子：
3.1
通讯作者：
Shen Yi
中科院分区：
文献类型：
--
作者：
Sun Junwei;Wang Yanfeng;Cui Guangzhao;Shen Yi
本文首先构造了一个新的混沌复杂系统，并研究了它的动力学性质，包括不变性、耗散性、平衡点、李雅普诺夫指数、混沌行为和混沌吸引子。前面的研究已经实现了四个真实的非线性混沌系统的组合-组合同步，本文研究了四个混沌复非线性系统的组合-组合复同步。根据李雅普诺夫稳定性定理和自适应控制方案，给出了4个不同初始条件的混沌复杂非线性系统，验证了所提控制方法的有效性和可行性。
In the paper, we firstly construct a novel chaotic complex system and investigate its dynamical properties including invariance, dissipativity, equilibria, Lyapunov exponents, chaotic behavior, and chaotic attractors. The combination–combination synchronization among four chaotic real nonlinear systems have been realized for the previous paper, a combination–combination complex synchronization is studied for four chaotic complex nonlinear systems in our paper. According to the Lyapunov stability theorem and adaptive control scheme, four novel chaotic complex nonlinear systems with different initial conditions are given to verify the validity and feasibility of the proposed control method.