https://doi.org/10.1140/epjp/s13360-022-02806-4
Regular Article
A new continuous memristive chaotic system with multistability and amplitude control
1
Department of Public Teaching, Nanchang Institute of Technology, 330044, Nanchang, China
2
Department of Basic Sciences, Nanchang Jiaotong Institute, 330100, Nanchang, China
Received:
19
February
2022
Accepted:
5
May
2022
Published online:
18
May
2022
This letter creates a new memristive chaotic system by applying memristor with cubic nonlinear function to Sprott A system. The equilibria and their stabilities of the system are calculated. Its striking property is that it is capable of yielding multistability and amplitude control. It also has rich period-doubling and inverse period-doubling bifurcations with the parameters change. Various types of double coexisting attractors are numerically illustrated. Moreover its amplitude controls on periodic and chaotic attractors are presented.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2022. Springer Nature or its licensor holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
