https://doi.org/10.1140/epjst/e2020-900159-8
Regular Article
Zero-Hopf bifurcation analysis in an inertial two-neural system with delayed Crespi function
1
School of Mathematics and Physics, China University of Geosciences, Wuhan 430074, P.R. China
2
College of Mechanical Engineering, Beijing University of Technology, Beijing 100124, P.R. China
a e-mail: weizhouchao@163.com, weizc@cug.edu.cn
Received:
1
August
2019
Received in final form:
28
September
2019
Published online:
26
March
2020
In this paper, we study a four-dimensional inertial two-nervous system with delay. By analyzing the distribution of eigenvalues, the critical value of zero-Hopf bifurcation is obtained. Complex dynamic behaviors are considered when two parameters change simultaneously. Pitchfork and Hopf bifurcation critical lines at near the zero-Hopf point are obtained by using the central manifold reduction and the normal form theory. The bifurcation diagram is given, and the results of period-doubling bifurcation into chaotic region in the inertial two-neural system with delayed Crespi function are shown.
© EDP Sciences, Springer-Verlag GmbH Germany, part of Springer Nature, 2020