A chaotic system with a nonlinear term and multiple coexistence attractors
College of Information Engineering, Shenyang University of Chemical Technology, 110142, Shenyang, China
Accepted: 12 May 2020
Published online: 2 June 2020
This paper proposes a novel chaotic system characterized by a simple mathematical model and multiple coexisting attractors. Theoretical analysis and numerical simulation show that the proposed system is dissipative, symmetric, and chaotic. The system can generate a double-scroll chaotic attractor with having only one nonlinear term. With changing parameters, a double-scroll attractor is split into two single-scroll attractors. The system has many coexisting attractors, such as one double-scroll chaotic attractor and two single-scroll periodic attractors, two single-scroll chaotic attractors and two single-scroll periodic attractors, and four periodic attractors. The complex dynamic of the system is physically shown by establishing an electronic circuit of the system.
© Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2020