Dynamical behaviors of a new hyperchaotic system

Autor:	Yonglu Shu, Chunlai Mu, Fuchen Zhang
Rok vydání:	2014
Předmět:	Nonlinear Sciences::Chaotic Dynamics Chaotic systems Control theory General Mathematics Synchronization of chaos General Engineering Chaotic Chaotic synchronization Lyapunov theorem Invariant (physics) Exponential function Mathematics
Zdroj:	Mathematical Methods in the Applied Sciences. 38:3155-3162
ISSN:	0170-4214
DOI:	10.1002/mma.3287
Popis:	Currently, chaotic systems and chaos-based applications are commonly used in the engineering fields. One of the main structures used in these applications is chaotic control and synchronization. In this paper, the dynamical behaviors of a new hyperchaotic system are considered. Based on Lyapunov Theorem with differential and integral inequalities, the global exponential attractive sets and positively invariant sets are obtained. Furthermore, the rate of the trajectories is also obtained. The global exponential attractive sets of the system obtained in this paper also offer theoretical support to study chaotic control, chaotic synchronization for this system. Computer simulation results show that the proposed method is effective. Copyright © 2014 John Wiley & Sons, Ltd.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::d1e85f228d493572492b0f299bede419 https://doi.org/10.1002/mma.3287 Zobrazit plný text záznamu Plný text