Analysis, Adaptive Control and Synchronization of a Seven-Term Novel 3-D Chaotic System with Three Quadratic Nonlinearities and its Digital Implementation in LabVIEW
This research work proposes a seven-term novel 3-D chaotic system with three quadratic nonlinearities and analyses the fundamental properties of the system such as dissipativity, symmetry, equilibria, Lyapunov exponents and Kaplan-Yorke dimension. The phase portraits of the novel chaotic system si...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Eastern Macedonia and Thrace Institute of Technology
2014-10-01
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| Series: | Journal of Engineering Science and Technology Review |
| Subjects: | |
| Online Access: | http://www.jestr.org/downloads/Volume8Issue2/fulltext82182015.pdf |
| Summary: | This research work proposes a seven-term novel 3-D chaotic system with three quadratic nonlinearities and analyses the
fundamental properties of the system such as dissipativity, symmetry, equilibria, Lyapunov exponents and Kaplan-Yorke
dimension. The phase portraits of the novel chaotic system simulated using MATLAB depict the strange chaotic
attractor of the novel system. For the parameter values and initial conditions chosen in this work, the Lyapunov
exponents of the novel chaotic system are obtained as �! = 2.71916, �! = 0 and �! = −13.72776. Also, the KaplanYorke
dimension of the novel chaotic system is obtained as �!" = 2.19808. Next, an adaptive controller is designed to
stabilize the novel chaotic system with unknown system parameters. Also, an adaptive controller is designed to achieve
global chaos synchronization of two identical novel chaotic systems with unknown system parameters. Finally, an
electronic circuit realization of the novel chaotic system is depicted using LabVIEW to confirm the feasibility of the
theoretical chaotic model. |
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| ISSN: | 1791-2377 1791-2377 |