期刊信息
- 刊名： 河北师范大学学报（自然科学版）Journal of Hebei Normal University (Natural Science)
- 主办： 河北师范大学
- ISSN： 1000-5854
- CN： 13-1061/N
- 中国科技核心期刊
- 中国期刊方阵入选期刊
- 中国高校优秀科技期刊
- 华北优秀期刊
- 河北省优秀科技期刊
一个新混沌系统的混沌分析及电路仿真
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1. 甘肃联合大学师范学院, 甘肃兰州 730000;
2. 兰州交通大学数理与软件工程学院, 甘肃兰州 730070;
3. 兰州工业高等专科学校基础部, 甘肃兰州 730050 -
DOI：
Chaotic Analysis and Circuit Simulation for a Novel Chaotic System
摘要/Abstract
提出了一种新型混沌系统,该系统与Lorenz,RLsslor,Chen系统不同,每个方程含有一个非线性乘积项,该系统具有较复杂的动力学特性,利用理论推导、Lyapunov指数、功率谱图和相图验证该系统在适当参数下处于混沌运动,随后用数值模拟系统的全局分岔图、全局李雅普诺夫指数谱和庞加莱映射图准确刻画出系统的周期运动和混沌运动,揭示了该系统的全局分岔行为与混沌形成过程,给出运用非线性耦合同步方法实现混沌同步的条件,同时运用Lyapunov方法对所得的条件进行理论证明,运用数值仿真证实控制方法的有效性.最后,通过对实际电路参数的计算以及模型参数的理论分析,验证了实验结果与计算机仿真结果的一致性.
A new chaotic system is contructed,it is different from Lorenz,resslor,Chen system w hich has one nonlinear function in every equat ion in the system and has complex dynamical character,this system is chaotic when its parameters sat isfy certain conditions,which is verified via theoretical analysis,Lyapunov exponents,Lyapunov dimension,power spect rum and phase port raits.Then,the periodic and chaotic behaviors are exact lyportrayed by using global bifurcation,global Lyapunov exponents spectrum and Poincar?mapping with computer simulation,which depict g lobal bifurcation behavior and forming process of chaos,and suf ficient condit ions for the global synchronizat ion of nonlinearly coupled new chaotic system are given.The conclusion is proved theoret-ically based on Lyapunov method,and the effect iveness of this method is proved based on numerical simulation.Finally,by calculating the circuit parameter and theoretical analyzing the phase track figure the consistency of experimental results and computer simulations are proved.