A Series of New Chaotic Attractors via Switched Linear Integer Order and Fractional Order Differential Equations

@article{Xu2015ASO,
  title={A Series of New Chaotic Attractors via Switched Linear Integer Order and Fractional Order Differential Equations},
  author={Fei Xu and Ross Cressman and Xiao-Bao Shu and Xinzhi Liu},
  journal={I. J. Bifurcation and Chaos},
  year={2015},
  volume={25}
}
This article investigates the design of a series of new chaotic attractors. A switching control with different switching surfaces is designed to link two systems of linear integer order differential equations. Under such control, the linked systems have rich dynamical behaviors such as chaos. We also investigate the dynamical behaviors of the corresponding linear fractional order differential equation systems with switching controls. It is shown that such fractional order systems have chaotic… CONTINUE READING