https://doi.org/10.1140/epjst/e2015-02475-x
Regular Article
Multistability in symmetric chaotic systems
1 School of Electronic and Information Engineering, Nanjing University of Information Science and Technology, Nanjing 210044, China
2 College of Electronic and Information Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China
3 Department of Physics, University of Wisconsin-Madison, Madison, WI 53706, USA
a e-mail: goontry@126.com; chunbiaolee@gmail.com
Received: 20 March 2015
Revised: 20 May 2015
Published online: 27 July 2015
Chaotic dynamical systems that are symmetric provide the possibility of multistability as well as an independent amplitude control parameter.The Rössler system is used as a candidate for demonstrating the symmetry construction since it is an asymmetric system with a single-scroll attractor. Through the design of symmetric Rössler systems, a symmetric pair of coexisting strange attractors are produced, along with the desired partial or total amplitude control.
© EDP Sciences, Springer-Verlag, 2015
