Zero-Hopf bifurcation analysis in an inertial two-neural system with delayed Crespi function
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
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