A new hyperchaotic particle motion system and its control
Ning Cui and
Junhong Li
Additional contact information
Ning Cui: School of Mathematics and Statistics, Hanshan Normal University, Chaozhou, Guangdong 521041, P. R. China
Junhong Li: School of Mathematics and Statistics, Hanshan Normal University, Chaozhou, Guangdong 521041, P. R. China†School of Mathematics and Statistics, Beijing Institute of Technology, Beijing 100081, P. R. China
International Journal of Modern Physics C (IJMPC), 2019, vol. 30, issue 12, 1-18
Abstract:
This paper formulates a new hyperchaotic system for particle motion. The continuous dependence on initial conditions of the system’s solution and the equilibrium stability, bifurcation, energy function of the system are analyzed. The hyperchaotic behaviors in the motion of the particle on a horizontal smooth plane are also investigated. It shows that the rich dynamic behaviors of the system, including the degenerate Hopf bifurcations and nondegenerate Hopf bifurcations at multiple equilibrium points, the irregular variation of Hamiltonian energy, and the hyperchaotic attractors. These results generalize and improve some known results about the particle motion system. Furthermore, the constraint of hyperchaos control is obtained by applying Lagrange’s method and the constraint change the system from a hyperchaotic state to asymptotically state. The numerical simulations are carried out to verify theoretical analyses and to exhibit the rich hyperchaotic behaviors.
Keywords: Particle motion; bifurcation; Hamiltonian energy; hyperchaos; hyperchaos control (search for similar items in EconPapers)
Date: 2019
References: View complete reference list from CitEc
Citations:
Downloads: (external link)
http://www.worldscientific.com/doi/abs/10.1142/S0129183120500047
Access to full text is restricted to subscribers
Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.
Export reference: BibTeX
RIS (EndNote, ProCite, RefMan)
HTML/Text
Persistent link: https://EconPapers.repec.org/RePEc:wsi:ijmpcx:v:30:y:2019:i:12:n:s0129183120500047
Ordering information: This journal article can be ordered from
DOI: 10.1142/S0129183120500047
Access Statistics for this article
International Journal of Modern Physics C (IJMPC) is currently edited by H. J. Herrmann
More articles in International Journal of Modern Physics C (IJMPC) from World Scientific Publishing Co. Pte. Ltd.
Bibliographic data for series maintained by Tai Tone Lim ().