DESIGN OF N-DIMENSIONAL MULTI-SCROLL JERK CHAOTIC SYSTEM AND ITS PERFORMANCES

Shaobo He; Kehui Sun; Huihai Wang; Xingxing Ai; Yixin Xu

doi:10.11948/2016078

2016 Volume 6 Issue 4

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Shaobo He, Kehui Sun, Huihai Wang, Xingxing Ai, Yixin Xu. DESIGN OF N-DIMENSIONAL MULTI-SCROLL JERK CHAOTIC SYSTEM AND ITS PERFORMANCES[J]. Journal of Applied Analysis & Computation, 2016, 6(4): 1180-1194. doi: 10.11948/2016078

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Shaobo He, Kehui Sun, Huihai Wang, Xingxing Ai, Yixin Xu. DESIGN OF N-DIMENSIONAL MULTI-SCROLL JERK CHAOTIC SYSTEM AND ITS PERFORMANCES[J]. Journal of Applied Analysis & Computation, 2016, 6(4): 1180-1194. doi: 10.11948/2016078

DESIGN OF N-DIMENSIONAL MULTI-SCROLL JERK CHAOTIC SYSTEM AND ITS PERFORMANCES

1 School of Physics and Electronics, Central South University, 410083, Changsha, China;
2 School of Physics Science and Technology, Xinjiang University, 830046, Urumqi, China

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Abstract

Abstract

Based on three-order Jerk and high-order Jerk chaotic systems, a general approach is proposed to generate n-dimensional multi-scroll Jerk chaotic attractors via nonlinear control. Dynamics of the n-dimensional multiscroll Jerk chaotic systems are analyzed by means of the largest Lyapunov exponent and multi-scale permutation entropy complexity. As an experimental verification, four-dimensional Jerk chaotic attractors are implemented by analog circuits. Results of the numerical simulation are consistent with that of the hardware experiments. It shows that the method of obtaining complex Jerk chaotic attractors is effective.
- Chaos /
- Jerk chaotic system /
- multi-scroll chaotic attractor /
- nonlinear control
MSC: 93c15;94c30

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References

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