Dynamic Behavior of Fractional Order Duffing Chaotic System and Its Synchronization Via Single Active Control
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摘要: 随着物理与技术的深入研究,分数阶非线性系统的动力性态及其分数阶混沌系统的同步成为研究的焦点.研究了分数阶Duffing系统的动力性态包括混沌性质,并且由分数阶非线性稳定性准则得到了分数阶非自治系统的混沌同步.特别地,研究了由单一主动控制的分数阶Duffing系统的同步.相应的数值结果演示了方法的有效性.
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关键词:
- Caputo分数阶微分 /
- 分数阶Duffing系统 /
- 同步
Abstract: Along with the deepening of research on physics and technology,dynamics of fractional order nonlinear systems and synchronization of fractional order chaotic systems focus strong attention on itself. The dynamic behavior including chaotic properties of fractional order Duffing systems was extensively investigated and,via the stability criterion of linear fractional systems,the synchronization of a fractional nonautonomous system was obtained. Especially,a kind of effective singly active control was proposed and applied to synchronize the fractional order Duffing system. The corresponding numerical results demonstrated the effectiveness of the proposed methods. -
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