A new hyperchaotic system and its circuit implementation

A new hyperchaotic system and its circuit implementation

In this paper, a new hyperchaotic system is presented by adding a nonlinear controller to the three-dimensional autonomous chaotic system. The generated hyperchaotic system undergoes hyperchaos, chaos, and some different periodic orbits with control parameters changed. The complex dynamic behaviors...

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Veröffentlicht in:Communications in nonlinear science & numerical simulation 2010-11, Vol.15 (11), p.3518-3524
Hauptverfasser: Yujun, Niu, Xingyuan, Wang, Mingjun, Wang, Huaguang, Zhang
Format: Artikel
Sprache:eng
Schlagworte:
Bifurcation
Chaos theory
Circuit implementation
Circuits
Control systems
Dynamic tests
Dynamical analysis
Dynamical systems
Hyperchaos
Lyapunov exponent
Mathematical models
Nonlinear dynamics
Nonlinearity
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Beschreibung
Zusammenfassung:In this paper, a new hyperchaotic system is presented by adding a nonlinear controller to the three-dimensional autonomous chaotic system. The generated hyperchaotic system undergoes hyperchaos, chaos, and some different periodic orbits with control parameters changed. The complex dynamic behaviors are verified by means of Lyapunov exponent spectrum, bifurcation analysis, phase portraits and circuit realization. The Multisim results of the hyperchaotic circuit were well agreed with the simulation results.
ISSN:1007-5704
1878-7274
DOI:10.1016/j.cnsns.2009.12.005