Bifurcation and chaos in time delayed fractional order chaotic memfractor oscillator and its sliding mode synchronization with uncertainties

2017 ◽  
Vol 103 ◽  
pp. 347-356 ◽  
Author(s):  
Karthikeyan Rajagopal ◽  
Anitha Karthikeyan ◽  
Ashokkumar Srinivasan
Keyword(s):  
Fractional Order ◽  
Sliding Mode ◽  
Bifurcation And Chaos ◽  
Mode Synchronization

scholarly journals Fractional-Order Sliding Mode Synchronization for Fractional-Order Chaotic Systems

2018 ◽  
Vol 2018 ◽  
pp. 1-9 ◽  
Author(s):  
Chenhui Wang
Keyword(s):  
Fractional Order ◽  
Chaotic Systems ◽  
Sliding Mode ◽  
Sufficient Conditions ◽  
Synchronization Error ◽  
Sliding Mode Controller ◽  
Sliding Surface ◽  
Numerical Examples ◽  
Mode Synchronization ◽  
Fractional Order Integral

Some sufficient conditions, which are valid for stability check of fractional-order nonlinear systems, are given in this paper. Based on these results, the synchronization of two fractional-order chaotic systems is investigated. A novel fractional-order sliding surface, which is composed of a synchronization error and its fractional-order integral, is introduced. The asymptotical stability of the synchronization error dynamical system can be guaranteed by the proposed fractional-order sliding mode controller. Finally, two numerical examples are given to show the feasibility of the proposed methods.

scholarly journals Sliding mode synchronization of an uncertain fractional order chaotic system

2010 ◽  
Vol 59 (5) ◽  
pp. 1637-1643 ◽  
Author(s):  
S.H. Hosseinnia ◽  
R. Ghaderi ◽  
A. Ranjbar N. ◽  
M. Mahmoudian ◽  
S. Momani
Keyword(s):  
Fractional Order ◽  
Chaotic System ◽  
Sliding Mode ◽  
Mode Synchronization
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