The Generation of a Series of Multiwing Chaotic Attractors Using Integer and Fractional Order Differential Equation Systems

作者：Xu Fei^*

来源：International Journal of Bifurcation and Chaos, 2014, 24(10): 1450130.

DOI：10.1142/S0218127414501302

• Chaotic attractor
• switching control
• integer order differential equation
• fractional order differential equation
• double-wing chaotic attractor
• multiwing chaotic attractor

In this article, we present a systematic approach to design chaos generators using integer order and fractional order differential equation systems. A series of multiwing chaotic attractors and grid multiwing chaotic attractors are obtained using linear integer order differential equation systems with switching controls. The existence of chaotic attractors in the corresponding fractional order differential equation systems is also investigated. We show that, using the nonlinear fractional order differential equation system, or linear fractional order differential equation systems with switching controls, a series of multiwing chaotic attractors can be obtained.

• 出版日期2014-10