高次非线性受迫KdV-Burgers类方程的混沌行为  

Dynamic Behavior of the Coupled Forced Compound KdV-Burgers-type Equation with High-order Nonlinear Terms

作　　者：包刚[1] 额尔敦仓[1] 那仁满都拉[1] 

机构地区：[1]内蒙古民族大学物理与电子信息学院,内蒙古通辽028043

出　　处：《内蒙古民族大学学报（自然科学版）》2017年第4期295-297,共3页Journal of Inner Mongolia Minzu University：Natural Sciences

基　　金：国家自然科学基金资助项目(11462019)

摘　　要：以耦合高次非线性类KdV-Burgers受迫振子为研究对象研究了其一些动力学行为.在对称耦合情况下随着耦合系数的变化系统从非混沌同步态过渡到完全混沌同步态,在完全混沌同步态下各个混沌振子的相轨道完全相同.通过计算Lyapunov指数表明,此时系统的前两个横向Lyapunov指数相等.The dynamic behaviors of Forced Compound KdV-Burgers-type Equation with High-order Nonlinear Terms in coupled chaotic oscillators was investigated. In the case of symmetric coupling, the system moves from non-chaotic synchronization to full chaos with the change of coupling coefficient. The phase orbit in complete syn- chronization state of each chaotic oscillator is exactly the same.By calculating the Lyapunov exponents, it is shown that the first two horizontal Lyapunov exponents of the system are equal at this time.

关 键 词：高次非线性类KdV-Burgers受迫振动方程 混沌同步 LYAPUNOV指数 

分 类 号：O415[理学—理论物理]