TY - JOUR
T1 - Dynamic analysis, circuit realization, control design and image encryption application of an extended Lü system with coexisting attractors
AU - Lai, Qiang
AU - Norouzi, Benyamin
AU - Liu, Feng
N1 - Publisher Copyright:
© 2018 Elsevier Ltd
PY - 2018/9
Y1 - 2018/9
N2 - This paper introduces an extended Lü system with coexisting attractors. The number and stability of equilibria are determined. The coexisting attractors of the system are displayed by the bifurcation diagrams, Lyapunov exponent spectrum, phase portraits. It is shown that the system has a pair of strange attractors, a pair of limit cycles, a pair of point attractors for different initial conditions. The circuit implementation of the chaotic attractor and coexisting attractors of the system are presented. The control problem of the system is studied as well. A controller is designed to stabilize the system to the origin and realize the switching between two chaotic attractors based on the passive control method. Moreover, a chaotic image encryption algorithm is proposed according to the system. The performance of the algorithm is numerically analyzed.
AB - This paper introduces an extended Lü system with coexisting attractors. The number and stability of equilibria are determined. The coexisting attractors of the system are displayed by the bifurcation diagrams, Lyapunov exponent spectrum, phase portraits. It is shown that the system has a pair of strange attractors, a pair of limit cycles, a pair of point attractors for different initial conditions. The circuit implementation of the chaotic attractor and coexisting attractors of the system are presented. The control problem of the system is studied as well. A controller is designed to stabilize the system to the origin and realize the switching between two chaotic attractors based on the passive control method. Moreover, a chaotic image encryption algorithm is proposed according to the system. The performance of the algorithm is numerically analyzed.
KW - An extended Lü system
KW - Bifurcation diagram
KW - Coexisting attractors
KW - Equilibrium
KW - Image encryption
KW - Initial value
KW - Passive control
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U2 - 10.1016/j.chaos.2018.07.011
DO - 10.1016/j.chaos.2018.07.011
M3 - Article
AN - SCOPUS:85050145421
SN - 0960-0779
VL - 114
SP - 230
EP - 245
JO - Chaos, Solitons and Fractals
JF - Chaos, Solitons and Fractals
ER -