TARU PUBLICATIONS
Journal of Dynamical Systems and Geometric Theories cover
Open Access ·Peer-reviewed·ISSN (Online): 2169-0057·ISSN (Print): 1726-037X
Powered by:Powered by

The Journal of Dynamical Systems and Geometric Theories (JDSGT) is a world leading journal publishing high quality, rigorously peer-reviewed original research on dynamical systems and geometry, including the interactions between these two subjects and interdisciplinary research with other branches of knowledge since 2003. Topics published by the Journal include but are not limited to: Random dynamical systems Geometry and physics Dynamical systems with hyperbolic behaviour Real and complex geometry Ergodic theory Distance geometry Topological dynamics Global differential geometry Infinite-dimensional Hamiltonian systems Symplectic geometry, contact geometry The journal considers original research articles, survey articles, and book reviews for publication. Responses to articles and correspondence will also be considered at the Chief Editor’s discretion.

Issues up to 2022 co-published with and available at:Taylor & Francis
info@tarupublications.com
Open Access Original Articles

Coexistence of Anti-Phase and Complete Synchronization in a Chaotic Finance System

,

* Corresponding author · click or hover a name for details

pp. 33–45Vol. 10Issue 1May 2012DOI: 10.1080/1726037X.2012.10698605XML
Received:
11 Nov 2011
Accepted:
06 Jan 2012
Published Online:
01 May 2012
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 . Phys. Lett., A, doi: 10.1016/ j.physleta. 2009.06.008 Brock, W. A., Hsieh, D. and LeBaron, B.1991 . Nonlinear Dynamics, Chaos, and Instability: Statistical Theory and Economic Evidence, Cambridge: MIT Press . De Grauwe, P., Dewachter, H. and Embrechts, M.1993 . Exchange Rate Theory: Chaotic Models of Foreign Exchange Markets, Oxford: Blackwell . Frank, M.Z. and Stengos, T.1988 . Some evidence concerning macroeconomic chaos . Journal of Monetary Economics, 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 . J. Sound Vib, 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) . Applied Mathematics and Mechanics, 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) . Applied Mathematics and Mechanics, 22 ( 11 ) : 1236 – 1241 . Kemih, K.2009 . Control of nuclear spin generator system based on passive control . Chaos Solitons Fract, 41 : 1897 – 1901 . Kuntanapreeda, S.2009 . Chaos synchronization of unified chaotic systems via LMI . Phys. Lett., A, 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 . IEEE Trans. Circuits Syst.-II: Express Briefs, 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 . J. Sound Vib, 319 : 41 – 49 . Pecora, L.M. and Carroll, T.L.1990 . Synchronization of chaotic systems . Phys. Rev. Lett, 64 : 821 – 824 . Salarieh, H. and Alasty, A.2008 . Chaos synchronization of nonlinear gyros in presence of stochastic excitation via sliding mode control . J. Sound Vib, 313 : 760 – 771 . Salarieh, H. and Shahrokhi, M.2009 . Multi-synchronization of chaos via linear output feedback strategy . J. Comput. Appl. Math, 223 : 842 – 852 . Sun, M. and Tian, Li-Xin. 2005 . Adaptive synchronization of non–linear chaotic finance system . Journal of Jiangsu University (Natural Science Edition), 26 ( 6 ) : 488 – 491 . Tong, H.1990 . Non-linear Time Series: A Dynamical Systems Approach, 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 . J. Sound Vib, 320 : 365 – 372 . Zhang, Q., Lü, J. and Chen, S.2010 . Coexistence of anti-phase and complete synchronization in the generalized Lorenz system . Commun Nonlinear Sci Numer Simulat, 15 : 3067 – 3072 .
Views: 8Downloads: 7Citations: 2