https://doi.org/10.1140/epjs/s11734-022-00448-2
Regular Article
A 4D hyperchaotic Lorenz-type system: zero-Hopf bifurcation, ultimate bound estimation, and its variable-order fractional network
1
School of Mathematics and Physics, China University of Geosciences, 430074, Wuhan, China
2
Department of Mechanical Engineering, College of Engineering, Taif University, P.O.Box 11099, 21944, Taif, Saudi Arabia
Received:
27
March
2021
Accepted:
13
January
2022
Published online:
25
January
2022
In this paper, the complex dynamics of a newly proposed 4D hyperchaotic Lorenz-type system are studied. The sufficient conditions of the emergence of periodic solutions and the stability of them at bifurcation points are obtained by averaging theory. The ultimate bound estimation of this hyperchaotic system is derived using the Lyapunov stability theory and the optimization idea, and relevant numerical simulations are given. Finally, a variable-order fractional network of this new 4D hyperchaotic Lorenz-type system is introduced and investigated.
Chaotic Variable-Order Fractional Neural Networks. Guest editors: Oscar Castillo, Hadi Jahanshahi, and Amin Yousefpour.
© The Author(s), under exclusive licence to EDP Sciences, Springer-Verlag GmbH Germany, part of Springer Nature 2022
