CAJ | 학술논문

通过对Chen系统进行修改,提出了一个新的混沌系统,对系统平衡点、稳定性、耗散性、分岔图和李雅普诺夫指数等基本动力学特性进行了分析,通过数值仿真结果观察了系统从周期到混沌的演化,最后,设计了实现系统的混沌电路,电路的实验结果与动力学特性分析与数值仿真完全相符,从而验证了系统的混沌行为.
통과대Chen계통진행수개,제출료일개신적혼돈계통,대계통평형점、은정성、모산성、분차도화리아보낙부지수등기본동역학특성진행료분석,통과수치방진결과관찰료계통종주기도혼돈적연화,최후,설계료실현계통적혼돈전로,전로적실험결과여동역학특성분석여수치방진완전상부,종이험증료계통적혼돈행위.
Through the modification of Chen system,this paper puts forward a new Chaotic System,and analyzes the principal dynamic properties,such as equilibrium points,stability,dissipative property, bifurcation diagram,Lyapunov exponent spectrum and so on. The evolution from period to chaos of this system is observed by numerical simulation. Finally,an analog electronic circuit is designed to implement the chaotic system,and the laboratory results of the circuit correspond exactly to the analysis of the dy- namics properties and the numerical simulation,so the chaotic behavior of the system has been proved.