Analysis and control of multiple attractors in Sprott B system

Qiang Lai, Guanghui Xu and Huiqin Pei

Chaos, Solitons & Fractals, 2019, vol. 123, issue C, 192-200

Abstract: This paper investigates the coexistence of multiple attractors in Sprott B system. Two independent chaotic attractors and two independent periodic attractors are numerically found in the system with different parameters and initial values. Multistability is also generated from the Sprott B system by using the sign function. A nonlinear controller is designed for forcing the chaotic motion of Sprott B system to an equilibrium point and enabling the system trajectories to switch between different chaotic attractors. The effectiveness of the controller is illustrated by some numerical experiments.

Keywords: Sprott B system; Multiple attractors; Chaotic attractor; Initial value; Control (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:123:y:2019:i:c:p:192-200

DOI: 10.1016/j.chaos.2019.04.006

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