CAJ | 학술논문

针对一类具有四参数的Shimizu-Morioka系统，对系统的平衡点的稳定性进行了研究，并利用分岔图与 Lyapunov 指数对新增加的两个参数进行了数值分析．运用 Multisim 软件设计了Shimizu-Morioka系统的混沌电路，基于Lyapunov稳定性理论，设计自适应控制器，实现了系统的混沌同步．Matlab仿真结果验证了所提出同步方法的有效性和可实现性．
침대일류구유사삼수적Shimizu-Morioka계통，대계통적평형점적은정성진행료연구，병이용분차도여 Lyapunov 지수대신증가적량개삼수진행료수치분석．운용 Multisim 연건설계료Shimizu-Morioka계통적혼돈전로，기우Lyapunov은정성이론，설계자괄응공제기，실현료계통적혼돈동보．Matlab방진결과험증료소제출동보방법적유효성화가실현성．
In this paper, the stability of equilibrium point for a Shimizu-Morioka chaotic system with four parameters is studied. By means of the system bifurcation diagram and Lyapunov exponent, the newly-added two parameters are numerically analyzed. In addition, the chaotic circuit of Shimizu-Morioka system is designed with theMultisimsoftware. Finally, the self-adaptative controller is designed based on Lyapunov stability theory so as to realize the chaotic synchronization of the system.Theresult of Matlab simulation verifys the effectiveness and realizability of the synchronization.