Design and application of multi-scroll chaotic attractors based on simplified Lorenz system | Zendy

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

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Design and application of multi-scroll chaotic attractors based on simplified Lorenz system

Author(s) -

Xingxing Ai,

Kehui Sun,

Shaobo He,

Huihai Wang

Publication year - 2014

Publication title -

acta physica sinica

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.199

H-Index - 47

ISSN - 1000-3290

DOI - 10.7498/aps.63.120511

Subject(s) - attractor , encryption , chaotic , lorenz system , lyapunov exponent , computer science , scroll , control theory (sociology) , nonlinear system , mathematics , mathematical analysis , physics , control (management) , artificial intelligence , archaeology , quantum mechanics , history , operating system

Two linear systems are obtained by employing linearization technique in a simplified Lorenz system, and a two-scroll chaotic attractor is generated via the control method. Multi-scroll chaotic attractors are generated by extending the saddle-focus equilibrium points with index 2. Dynamic characteristics of the multi-scroll chaotic system are analyzed by observing the phase diagrams, bifurcation diagrams, Poincaré sections and calculating the largest Lyapunov exponent. A circuit for the multi-scroll attractor is designed and simulated. The numerical simulation result and the circuit simulation result are consistent with each other. To apply the multi-scroll chaotic systems to image encryption, an improved hybrid encryption algorithm is designed based on the multi-scroll chaotic system and advanced encryption standard (AES), and its encryption performances are analyzed. The results show that the improved hybrid encryption has a higher security.

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