In this paper, the basic dynamical properties of a complex chaotic system are investigated by the imaginary part and the real part of the complex chaotic system are separated. Based on Lyapunov stability theorem, a feedback control method is proposed for synchronization of a complex chaotic system with parameters perturbation and external disturbances. The simulation results show the feasibility of the method.
AghababaMPAghababaHP (2013) A novel finite-time sliding mode controller for synchronization of chaotic systems with input nonlinearity. Arabian journal for science and engineering38: 3221–3232.
2.
ChangSC (2010) Synchronization and controlling chaos in a permanent magnet synchronous motor. Journal of Vibration and Control16: 1881–1894.
3.
DafilisaPMFrascoliaFCLileyaTJD (2009) Chaos and generalized multistability in a mesoscopic model of the electroencephalogram. Physica D238: 1056–1060.
4.
FarivarFShoorehdeliMANekouiMATeshnehlabM (2013) Synchronization of underactuated unknown heavy symmetric chaotic gyroscopes via optimal gaussian radial basis adaptive variable structure control. IEEE Transactions on contrpl systems technplogy21: 2374–2379.
5.
FuJZhangHGMaTDZhangQL (2010) On passivity analysis for stochastic neural networks with interval time-varying delay. Neurocomputing73: 795–801.
6.
HoMCHungYCChouCH (2002) Phase and anti-phase synchronization of two chaotic systems by using active control. Physics Letters A296: 43–48.
7.
HuGZ (2013) Global synchronization for coupled Lur'e dynamical networks. Circuits systems and signal processing32: 2851–2866.
8.
LiuZWZhangHGZhangQL (2010) Novel stability analysis for recurrent neural networks with multiple delays via line integral-type L-K functional. IEEE Transactions on Neural Networks21: 1710–1718.
9.
MahmoudGMAhmedME (2011) On autonomous and nonautonomous modified hyperchaotic complex Lü systems. International Journal of Bifurcation and Chaos21: 1913–1926.
10.
MahmoudGMBountisT (2004) The dynamics of system of complex nonlinear oscillators: a review. International Journal of Bifurcation and Chaos14: 3821–3846.
11.
MahmoudGMBountisTMahmoudEE (2007) Active control and global synchronization of the complex Chen and Lü Systems. International Journal of Bifurcation and Chaos17: 4295–4308.
12.
MahmoudGMMansourEA (2010) Modified projective synchronization and control of complex Chen and Lu systems. Journal of Vibration and Control17: 1184–1194.
13.
Michael GR, Arkady SP and Jurgen K (1997) From phase to lag synchronization in coupled chaotic oscillators. Physical Review Letters 78: 4193–4196.
14.
ShahverdievEMSivaprakasamSShoreKA (2002) Lag synchronization in time-delayed systems. Physics Letters A292: 320–324.
15.
ShinbrotTGrebogiCOttEYorkeJA (1993) Using small perturbations to control chaos. Nature363: 411–417.
16.
XuDLLiZG (2002) Controlled projective synchronization in nonpartially-linear chaotic systems. International Journal of Bifurcation and Chaos12: 1395–1402.
17.
YangXS (2001) On the existence of generalized synchronizor in unidirectionally coupled systems. Applied Mathematics and Computation122: 71–79.
18.
YuXHSongYX (2001) Chaos synchronization via controlling partial state of chaotic systems. International Journal of Bifurcation and Chaos11: 1737–1741.
19.
ZhangHGLiuZWHuangGBWangZS (2010) Novel weighting-delay-based stability criteria for recurrent neural networks with time-varying delay. IEEE Transactions on Neural Networks21: 91–106.
20.
ZhangHGWangZSLiuDR (2008) Global asymptotic stability of recurrent neural networks with multiple time-varying delays. IEEE Transactions on Neural Networks19: 855–873.
21.
ZhangXBYaoHX (2011) Adaptive synchronization of a new complex chaotic system. Journal of wuhan university of technology33: 143–156.