Premium
Dynamical behaviors of a new hyperchaotic system
Author(s) -
Shu Yonglu,
Zhang Fuchen,
Mu Chunlai
Publication year - 2015
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.3287
Subject(s) - chaotic , mathematics , synchronization of chaos , synchronization (alternating current) , invariant (physics) , lyapunov function , chaotic systems , exponential function , control theory (sociology) , control (management) , computer science , topology (electrical circuits) , mathematical analysis , nonlinear system , artificial intelligence , quantum mechanics , mathematical physics , physics , combinatorics
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.