A 3-D Novel Conservative Chaotic System and its Generalized Projective Synchronization via Adaptive Control
This research work proposes a five-term 3-D novel conservative chaotic system with a quadratic nonlinearity and a quartic nonlinearity. The conservative chaotic systems have the important property that they are volume conserving. The Lyapunov exponents of the 3-D novel chaotic system are obtained...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Eastern Macedonia and Thrace Institute of Technology
2014-11-01
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| Series: | Journal of Engineering Science and Technology Review |
| Subjects: | |
| Online Access: | http://www.jestr.org/downloads/Volume8Issue2/fulltext8282015.pdf |
| Summary: | This research work proposes a five-term 3-D novel conservative chaotic system with a quadratic nonlinearity and a quartic
nonlinearity. The conservative chaotic systems have the important property that they are volume conserving. The
Lyapunov exponents of the 3-D novel chaotic system are obtained as �! = 0.0836, �! = 0 and �! = −0.0836. Since the
sum of the Lyapunov exponents is zero, the 3-D novel chaotic system is conservative. Thus, the Kaplan-Yorke dimension
of the 3-D novel chaotic system is easily seen as 3.0000. The phase portraits of the novel chaotic system simulated using
MATLAB depict the chaotic attractor of the novel system. This research work also discusses other qualitative properties of
the system. Next, an adaptive controller is designed to achieve Generalized Projective Synchronization (GPS) of two
identical novel chaotic systems with unknown system parameters. MATLAB simulations are shown to validate and
demonstrate the GPS results derived in this work. |
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| ISSN: | 1791-2377 1791-2377 |