https://doi.org/10.1140/epjst/e2020-900165-1
Regular Article
Extreme and critical transition events in the memristor based Liénard system
1
Department of Nonlinear Dynamics, School of Physics, Bharathidasan University, Tiruchirappalli 620024, Tamil Nadu, India
2
Division of Dynamics, Lodz University of Technology, Stefanowskiego 1/15, 90-924 Lodz, Poland
3
Department of Physics and Astrophysics, University of Delhi, Delhi 110007, India
a e-mail: kingston.cnld@gmail.com
Received:
9
August
2019
Received in final form:
20
September
2019
Published online:
26
March
2020
We study extreme and critical events in the forced Liénard systems with charge control memristor. It has been found that the system exhibits hidden attractors either in the absence or presence of an external sinusoidal force. We give evidence that these attractors play a crucial role in the appearance of critical events. We attempt to explain the mechanism leading to the emergence of catastrophic transitions. Finally, we present that the observed critical transitions are typical for memristor based models and understanding of them gives some insight on how to avoid these types of devastating events at the time of the device fabrication process.
© The Author(s) 2020
This is an Open Access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
