Abstract
This paper investigates the synchronization problem in a new 5D hyperchaotic system. Firstly, the existence of two types of synchronization problems in the new 5D hyperchaotic system is proved. Then, by the dynamic feedback control method, one complete synchronization problem and three coexistence of complete synchronization and antisynchronization problems in such system are realized. Finally, numerical simulations are used to verify the validity and effectiveness of the theoretical results.
Highlights
Since Lorenz proposed the first chaotic system in 1963, many researchers are stimulated to investigate this chaotic phenomena. en, lots of chaotic systems and hyperchaotic systems are proposed
Since the OGY method [1] and PC method [2] were first observed for chaos control and chaos synchronization in 1990, respectively, the control problems and synchronization problems of those chaotic systems have become hot topics, see References [13,14,15] and the references therein
For the new 5D hyperchaotic system, the existence of the synchronization problems in such system is a fundamental question, but it still not be solved. erefore, investigating the synchronization problems in the new 5D hyperchaotic system is very important in both theory and applications, which motivates our work in this paper
Summary
Since Lorenz proposed the first chaotic system in 1963, many researchers are stimulated to investigate this chaotic phenomena. en, lots of chaotic systems and hyperchaotic systems are proposed. The existence of the synchronization problem in a given chaotic or hyperchaotic system, which is a fundamental theoretical base to design a physical controller. How to design a simple and physical controller to realize the synchronization problem is a question which needs to be solved. For the new 5D hyperchaotic system, the existence of the synchronization problems in such system is a fundamental question, but it still not be solved. Erefore, investigating the synchronization problems in the new 5D hyperchaotic system is very important in both theory and applications, which motivates our work in this paper. Motivated by the abovementioned conclusions, the synchronization problem in the new 5D chaotic system is studied by the dynamic feedback control method. (1) e existence of two types of synchronization problems in the new 5D system is proved (2) ese two types of synchronization problems in the new 5D system are realized by the dynamic feedback control method
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
