CAJ | 학술논문

通过用分段线性符号函数替换统一混沌系统中部分二次项,得到一个新分段连续的自治系统(称为统一混沌系统修改模型).对该系统性质做定性分析,验证其动力学性态为混沌,运用反馈控制和自适应控制方法,证明两个统一混沌系统的修改模型为同步,数值模拟计算验证了所提同步设计的正确性.
통과용분단선성부호함수체환통일혼돈계통중부분이차항,득도일개신분단련속적자치계통(칭위통일혼돈계통수개모형).대해계통성질주정성분석,험증기동역학성태위혼돈,운용반궤공제화자괄응공제방법,증명량개통일혼돈계통적수개모형위동보,수치모의계산험증료소제동보설계적정학성.
A new simplified three-dimensional piecewise continuous autonomous system (a modified model of unified chaotic system) was introduced by replacing a quadratic nonlinear term in a unified chaotic system with a piecewise linear signum function. The qualitative properties of this modified model were studied to substantiate that it is a chaotic system. Two kinds of nonlinear controllers were designed to theoretically synchronize two uncertain modified models of unified chaotic system. Numerical simulations were presented to show the effectiveness of the methods.