https://doi.org/10.1140/epjst/e2020-900185-y
Regular Article
A conditional symmetric memristive system with amplitude and frequency control
1
Jiangsu Key Laboratory of Meteorological Observation and Information Processing, Nanjing University of Information Science and Technology, Nanjing 210044, P.R. China
2
Jiangsu Collaborative Innovation Center of Atmospheric Environment and Equipment Technology (CICAEET), Nanjing University of Information Science & Technology, Nanjing 210044, P.R. China
3
Green Chemical Lab, Chongqing University, Chongqing 400044, P.R. China
a e-mail: goontry@126.com
Received:
29
August
2019
Received in final form:
24
September
2019
Published online:
26
March
2020
By introducing a memristor into a chaotic system with a single non-quadratic term and substituting an absolute value function for conditional symmetry, a unique chaotic system is constructed. Firstly, the system shares a special structure of symmetry and conditional symmetry. Secondly, the amplitude and frequency of the system variables can be rescaled by the applied memristor. Interestingly it gives a new case of attractor control namely partial amplitude control and global frequency control. At last, as a new regime of extreme multistability, the memristive system shows relatively simple bifurcation according to the initial condition. This new class of chaotic system has never been reported to the best of our knowledge.
© EDP Sciences, Springer-Verlag GmbH Germany, part of Springer Nature, 2020