Bifurcations and chaos of coupled Jerk systems
Bifurcations and chaos of coupled Jerk systems
复制标题
耦合加加速度系统的分岔和混沌
DOI：
10.7498/aps.59.7669
复制
发表时间：
2010-11
期刊：
影响因子：
--
通讯作者：
Bi Qin-Sheng
中科院分区：
文献类型：
--
作者：
Chen Zhang-Yao;Bi Qin-Sheng
在分析耦合激振系统的平衡点和稳定性的基础上，导出了参数空间的分岔集，将参数空间划分为与不同形式的动力学相关联的若干区域。研究了耦合系统在不同参数变化下的动力学演化，重点探讨了耦合强度对系统动力学的影响。给出了多行为共存和倍周期分岔序列等非线性现象的产生机理。
Upon the analysis of the equilibrium points as well as the stabilities in coupled Jerk systems, bifurcation sets in parameter space are derived, which divide the parameter space into several regions associated with different forms of dynamics. The dynamical evolution of the coupled system is investigated with the variation of different parameters and specially, the influence of the coupling strength on the dynamics of the system is explored in details. The mechanism of some nonlinear phenomena such as the coexistence of multiple behaviors as well as the sequence of period-doubling bifurcations are presented.