Periodic parametric perturbation control for a 3D autonomous chaotic system and its dynamics at infinity

Title:

Periodic parametric perturbation control for a 3D autonomous chaotic system and its dynamics at infinity

Creator:

Wang, Zhen, Sun, Wei, Wei, Zhouchao, and Zhang, Shanwen

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:22b36005-ad83-499b-b528-b787d7600722
uuid:22b36005-ad83-499b-b528-b787d7600722
doi:10.14736/kyb-2017-2-0354

Subject:

Hamiltonian system, Melnikov's methods, homoclinic orbits, periodic orbits, periodic parametric perturbation, and dynamics at infinity

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

Periodic parametric perturbation control and dynamics at infinity for a 3D autonomous quadratic chaotic system are studied in this paper. Using the Melnikov's method, the existence of homoclinic orbits, oscillating periodic orbits and rotating periodic orbits are discussed after transferring the 3D autonomous chaotic system to a slowly varying oscillator. Moreover, the parameter bifurcation conditions of these orbits are obtained. In order to study the global structure, the dynamics at infinity of this system are analyzed through Poincaré compactification. The simulation results demonstrate feasibility of periodic parametric perturbation control technology and correctness of the theoretical results.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Source:

Kybernetika | 2017 Volume:53 | Number:2

Harvested from:

CDK

Metadata only:

false