Existence of heteroclinic orbits in a novel three-order dynamical system  

作　　者：胡瑀 闵乐泉 甄平 

机构地区：[1]Beijing University of Science and Technology

出　　处：《Chinese Physics B》2013年第11期232-238,共7页中国物理B（英文版）

基　　金：Project supported by the National Natural Science Foundation of China(Grant Nos.61170037 and 61074192)

摘　　要：In this paper, we design a novel three-order autonomous system. Numerical simulations reveal the complex chaotic behaviors of the system. By applying the undetermined coefficient method, we find a heteroclinic orbit in the system. As a result, the Si＇lnikov criterion along with some other given conditions guarantees that the system has both Smale horseshoes and chaos of horseshoe type.In this paper, we design a novel three-order autonomous system. Numerical simulations reveal the complex chaotic behaviors of the system. By applying the undetermined coefficient method, we find a heteroclinic orbit in the system. As a result, the Si＇lnikov criterion along with some other given conditions guarantees that the system has both Smale horseshoes and chaos of horseshoe type.

关 键 词：novel chaotic system heteroclinic orbit Si＇lnikov criterion undetermined coefticient method 

分 类 号：O415.5[理学—理论物理]