Open AccessDynamical behavior and control of a new hyperchaotic Hamiltonian system
Author(s) -
Junhong Li,
AUTHOR_ID,
Ningren Cui
Publication year - 2022
Publication title -
aims mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.329
H-Index - 15
ISSN - 2473-6988
DOI - 10.3934/math.2022285
Subject(s) - nonholonomic system , holonomic constraints , control theory (sociology) , constraint (computer aided design) , holonomic , lyapunov exponent , hamiltonian system , mathematics , equilibrium point , computer science , chaotic , physics , control (management) , mathematical physics , classical mechanics , mathematical analysis , mobile robot , differential equation , robot , artificial intelligence , geometry
In this paper, we firstly formulate a new hyperchaotic Hamiltonian system and demonstrate the existence of multi-equilibrium points in the system. The characteristics of equilibrium points, Lyapunov exponents and Poincaré sections are studied. Secondly, we investigate the complex dynamical behaviors of the system under holonomic constraint and nonholonomic constraint, respectively. The results show that the hyperchaotic system can generated by introducing constraint. Additionally, the hyperchaos control of the system is achieved by applying linear feedback control. The numerical simulations are carried out in order to analyze the complex phenomena of the systems.