Open Access
Original Articles
Coexistence of Anti-Phase and Complete Synchronization in a Chaotic Finance System
Hossein Kheirih-kheiri@tabrizu.ac.irFaculty Of Mathematical SciencesUniversity of TabrizTabriz, IranView full profile → , E. VafaeiFaculty Of Humanities And Social ScienceUniversity Of TabrizTabriz, IranView full profile →
* Corresponding author · click or hover a name for details
- Received:
- 11 Nov 2011
- Accepted:
- 06 Jan 2012
- Published Online:
- 03 Jun 2013
- Article type:
- Original Articles
- Language:
- EN
- Article no.:
- 1726037X.2012.10698605
- Pages:
- 33–45
Abstract
In this paper, the coexistence of anti-phase and complete synchronization in a three-dimensional chaotic finance system is investigated. Linear feedback control method and the adaptive feedback control method are presented. In both cases, sufficient conditions for the synchronization are obtained analytically. Numerical simulations show the validity and feasibility of the analytical results.
Keywords
References
- Al-Sawalha, M.M. and Noorani, M.S.M.Anti-synchronization of chaotic systems with uncertain parameters via adaptive control . , doi: 10.1016/ j.physleta. 2009.06.008
- Brock, W. A., Hsieh, D. and LeBaron, B.1991 . , Cambridge: MIT Press .
- De Grauwe, P., Dewachter, H. and Embrechts, M.1993 . , Oxford: Blackwell .
- Frank, M.Z. and Stengos, T.1988 . Some evidence concerning macroeconomic chaos . , 22 : 423 – 438 .
- Ge, Z.-M. and Lee, C.2005 . Anticontrol and synchronization of chaos for an autonomous rotational machine system with a hexagonal centrifugal governor . , 282 : 635 – 648 .
- Jun-hai, M. and Chen, Yu-shu. 2001 . Study for the Bifurcation Topological Structure and the Global Complicated Character of a Kind of Non-Linear Finance System (I) . , 22 ( 11 ) : 1119 – 1128 .
- Jun-hai, M. and Yu-shu, C.2001 . Study for the Bifurcation Topological Structure and the Global Complicated Character of a Kind of Non-Linear Finance System (II) . , 22 ( 11 ) : 1236 – 1241 .
- Kemih, K.2009 . Control of nuclear spin generator system based on passive control . , 41 : 1897 – 1901 .
- Kuntanapreeda, S.2009 . Chaos synchronization of unified chaotic systems via LMI . , 373 : 2837 – 2840 .
- Lu, J. and Hill, D.J.2008 . Global asymptotical synchronization of chaotic Lur’e systems using sampled data: A linear matrix inequality approach . , 55 : 586 – 590 .
- Njah, A.N. and Vincent, U.E.2009 . Synchronization and anti-synchronization of chaos in an extended Bonhöffer-van der Pol oscillator using active control . , 319 : 41 – 49 .
- Pecora, L.M. and Carroll, T.L.1990 . Synchronization of chaotic systems . , 64 : 821 – 824 .
- Salarieh, H. and Alasty, A.2008 . Chaos synchronization of nonlinear gyros in presence of stochastic excitation via sliding mode control . , 313 : 760 – 771 .
- Salarieh, H. and Shahrokhi, M.2009 . Multi-synchronization of chaos via linear output feedback strategy . , 223 : 842 – 852 .
- Sun, M. and Tian, Li-Xin. 2005 . Adaptive synchronization of non–linear chaotic finance system . , 26 ( 6 ) : 488 – 491 .
- Tong, H.1990 . , Oxford: Oxford University Press .
- Wang, H., Han, Z.Z., Zhang, W. and Xie, Q.2009 . Chaos control and synchronization of unified chaotic systems via linear control . , 320 : 365 – 372 .
- Zhang, Q., Lü, J. and Chen, S.2010 . Coexistence of anti-phase and complete synchronization in the generalized Lorenz system . , 15 : 3067 – 3072 .
Views: 43Downloads: 73Citations: 2




