https://doi.org/10.1140/epjst/e2019-900010-7
Regular Article
Bogdanov–Takens singularity in the simple memristive time-delay system
1
School of Mathematics and Physics, China University of Geosciences, 430074 Wuhan, P.R. China
2
Guangxi Colleges and Universities Key Laboratory of Complex System Optimization and Big Data Processing, Yulin Normal University, Yulin, Guangxi 537000, P.R. China
a e-mail: weizhouchao@163.com
Received:
24
January
2019
Received in final form:
1
March
2019
Published online:
14
October
2019
In this paper, a simple memristive system is considered. We obtain existence of Bogdanov–Takens (B–T) bifurcation at the equilibrium in the 2D memristive time-delay system. With the change of two bifurcation parameters, in particular, it will lead to different bifurcations when the delay passes a certain critical value. Based on center manifold and classic normal form method, Hopf, pitchfork, homoclinic, and double limit cycle bifurcation are derived.
© EDP Sciences, Springer-Verlag GmbH Germany, part of Springer Nature, 2019
