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A New Simpler Third-Order Chaotic System and its Circuit Implementation


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Abstract

This paper introduces a relatively simple three-dimensional chaotic system, which has only two equilibrium points. The system is theoretically demonstrated to be chaotic by calculation of the Lyapunov exponents and stability analysis of the equilibrium points. Then, the bifurcation diagram of the system is given to observe its period-doubling phenomenon. Compared with the R00F6ssler system, the structure of the new system is more simple, only one nonlinear product term and two parameters. Finally, an analog electronic circuit is designed to realize the system, the simulation result is achieved and basic dynamical behaviors are briefly described.


Keywords


Pages

Total Pages: 6
Pages: 311-316

DOI
10.1080/10798587.2015.1095483


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Published

Volume: 22
Issue: 2
Year: 2015

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JOURNAL INFORMATION


ISSN PRINT: 1079-8587
ISSN ONLINE: 2326-005X
DOI PREFIX: 10.31209
10.1080/10798587 with T&F
IMPACT FACTOR: 0.652 (2017/2018)
Journal: 1995-Present




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