Open AccessDesign and application of multi-scroll chaotic attractors based on simplified Lorenz system
Author(s) -
Xingxing Ai,
Kehui Sun,
Siming He,
Huihai Wang
Publication year - 2014
Publication title -
wuli xuebao
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.