Title :
A new mixed-order chaotic system and its synchronization control
Author :
Min Fu-hong ; Shao Shu-yi ; Li Deng-hui ; Wang Si-cong
Author_Institution :
Sch. of Electr. & Autom. Eng., Nanjing Normal Univ., Nanjing, China
Abstract :
In this paper, a novel four-dimensional mixed-order chaotic system is proposed and numerical simulations are first carried out through bifurcation diagrams and Lyapunov exponent spectrum. Based on the fractional-order approximate transfer function, the mixed-order chaotic circuit is designed, and the results of the circuit implementation are given. The existence and physical realizability of the new four-dimensional mixed-order chaotic system are proved. Finally, the active control method is used for synchronization of two same mixed-order systems. Numerical simulation results show that the active control method is easy to implement and reliable for synchronizing the two nonlinear fractional-order chaotic systems.
Keywords :
Lyapunov methods; bifurcation; chaos; control system synthesis; multidimensional systems; nonlinear control systems; synchronisation; transfer functions; 4D mixed-order chaotic system; Lyapunov exponent spectrum; active control method; bifurcation diagrams; circuit implementation; fractal order; fractional-order approximate transfer function; integral order; mixed-order chaotic circuit design; nonlinear fractional-order chaotic system; numerical simulation; physical realizability; synchronization control; Approximation methods; Bifurcation; Chaotic communication; Equivalent circuits; Numerical simulation; Synchronization; Circuit simulation; Dynamic behaviors; Fractional-order chaotic system; Synchronization control;
Conference_Titel :
Control Conference (CCC), 2014 33rd Chinese
Conference_Location :
Nanjing
DOI :
10.1109/ChiCC.2014.6896922
