منابع مشابه
On chaos control and synchronization of the commensurate fractional order Liu system
In this work, we study chaos control and synchronization of the commensurate fractional order Liu system. Based on the stability theory of fractional order systems, the conditions of local stability of nonlinear three-dimensional commensurate fractional order systems are discussed. The existence and uniqueness of solutions for a class of commensurate fractional order Liu systems are investigate...
متن کاملControl Chaos in System with Fractional Order
In this paper, by utilizing the fractional calculus theory and computer simulations, dynamics of the fractional order system is studied. Further, we have extended the nonlinear feedback control in ODE systems to fractional order systems, in order to eliminate the chaotic behavior. The results are proved analytically by stability condition for fractional order system. Moreover numerical simulati...
متن کاملThe Proposed Modified Liu System with Fractional Order
1 Department of Physics, Urmia Branch, Islamic Azad University, P.O. Box 969, Oromiyeh, Iran 2Department of Mathematics and Computer Science, Çankaya University, 06530 Ankara, Turkey 3 Institute of Space Sciences, P.O. Box MG-23, 76900 Magurele-Bucharest, Romania 4Department of Chemical and Materials Engineering, Faculty of Engineering, King Abdulaziz University, P.O. Box 80204, Jeddah 21589, S...
متن کاملFractional Liu Process and Applications to Finance
In this paper, we consider fractional Liu process. First, the membership functions, expected values and variances of arithmetic and geometric fractional Liu process are given. Then we suppose that stock price follows geometric fractional Liu process and formulate fractional Liu’s stock model. Based on this model, European option pricing formulas are obtained.
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The present paper deals with fractional-order version of a dynamical system introduced by Chongxin et al. 2006 . The chaotic behavior of the system is studied using analytic and numerical methods. The minimum effective dimension is identified for chaos to exist. The chaos in the proposed system is controlled using simple linear feedback controller. We design a controller to place the eigenvalue...
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ژورنال
عنوان ژورنال: Computers & Mathematics with Applications
سال: 2010
ISSN: 0898-1221
DOI: 10.1016/j.camwa.2009.07.003