一个四维混沌的广义发电机系统的动力学分析  

Dynamic Analysis of a 4D Hyperchaotic Generalized Segmented Disc Dynamo System

作　　者：吴锋 

机构地区：[1]华南理工大学数学学院,广东 广州

出　　处：《理论数学》2020年第2期111-127,共17页Pure Mathematics

摘　　要：本文基于segmented disc dynamo发电机,提出了一个新的四维混沌的广义发电机系统。作者研究了Pitchfork分叉、Hopf分叉、zero-zero Hopf分叉,给出了在不同条件下系统存在pitchfork分叉、Hopf分叉和周期解的证明,并给出了Pitchfork分叉和Hopf分叉的数值模拟。Based on segmented disc dynamo, a new four-dimensional chaotic generalized generator system was proposed. The author studies Pitchfork fork, Hopf fork and zero-zero Hopf fork, gives the proof that Pitchfork fork and periodic solution exist in the system under different conditions, and gives the numerical simulation of Pitchfork fork.

关 键 词：发电机模型 超混沌系统 Pitchfork分叉 HOPF分叉 Zero-Zero HOPF分叉 

分 类 号：O17[理学—数学]