Multistability in Symmetric Chaotic Systems

C. Li¹, W. Hu², J. C. Sprott³, and X. Wang²

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

Received: 20 March 2015 / Received in final form 20 May 2015 Published online 27 July 2015

ABSTRACT

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.

Ref: C. Li, W. Hu, J. C. Sprott, and X. Wang, The European Physical Journal Special Topics 224 1493-1506 (2015)