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

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

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

Author(s) -

Shaobo He,

Kehui Sun,

Huihai Wang,

Xingxing Ai,

Yixin Xu

Publication year - 2016

Publication title -

journal of applied analysis and computation

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.55

H-Index - 21

eISSN - 2158-5644

pISSN - 2156-907X

DOI - 10.11948/2016078

Subject(s) - jerk , attractor , chaotic , lyapunov exponent , control theory (sociology) , mathematics , nonlinear system , scroll , computer science , mathematical analysis , physics , engineering , control (management) , artificial intelligence , classical mechanics , mechanical engineering , quantum mechanics , acceleration

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.

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