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Fractional order Adaptive Projective Synchronization between Two Different Fractional Order Chaotic Systems with Uncertain Parameters

Published on September 2015 by S. K. Agrawal, V. Mishra, M. Srivastavaand V. K. Yadav
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International Conference and Workshop on Communication, Computing and Virtualization
Foundation of Computer Science USA
ICWCCV2015 - Number 3
September 2015
Authors: S. K. Agrawal, V. Mishra, M. Srivastavaand V. K. Yadav
79e5db9b-dc32-423d-9ed6-63f493e35c8f

S. K. Agrawal, V. Mishra, M. Srivastavaand V. K. Yadav . Fractional order Adaptive Projective Synchronization between Two Different Fractional Order Chaotic Systems with Uncertain Parameters. International Conference and Workshop on Communication, Computing and Virtualization. ICWCCV2015, 3 (September 2015), 0-0.

@article{
author = { S. K. Agrawal, V. Mishra, M. Srivastavaand V. K. Yadav },
title = { Fractional order Adaptive Projective Synchronization between Two Different Fractional Order Chaotic Systems with Uncertain Parameters },
journal = { International Conference and Workshop on Communication, Computing and Virtualization },
issue_date = { September 2015 },
volume = { ICWCCV2015 },
number = { 3 },
month = { September },
year = { 2015 },
issn = 2249-0868,
pages = { 0-0 },
numpages = 1,
url = { /proceedings/icwccv2015/number3/801-1572/ },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Proceeding Article
%1 International Conference and Workshop on Communication, Computing and Virtualization
%A S. K. Agrawal
%A V. Mishra
%A M. Srivastavaand V. K. Yadav
%T Fractional order Adaptive Projective Synchronization between Two Different Fractional Order Chaotic Systems with Uncertain Parameters
%J International Conference and Workshop on Communication, Computing and Virtualization
%@ 2249-0868
%V ICWCCV2015
%N 3
%P 0-0
%D 2015
%I International Journal of Applied Information Systems
Abstract

In the Present manuscript we have investigate the Adaptive projective synchronization between different fractional order chaotic systemsusing modified adaptive control method with unknown parameters. The modified adaptive control method is very affective and more convenient in compression to the existing method for the synchronization of the fractional order chaotic systems. The chaotic attractors and synchronization of the systems are found for fractional order time derivatives described in Caputo sense. Numerical simulation results which are carried out using Adams-Boshforth-Moulton method show that the method is reliable and effective for synchronization and anti-synchronizationofautonomous chaotic systems.

References
  1. KoberH. 1941 On a theorem of Shur and on fractional integrals of purely imaginary order, Trans. Amer. Math. Soc. 50 160-174.
  2. Love E. R. 1971 Fractional derivative of imaginary order, J. Lond. Math. Soc. 2 241–259.
  3. Ross B. , and F. H. 1978Northover, A use for a derivative of complex order in the fractional calculus, Indian J. Pure Appl. Math. , 9 400-406.
  4. PodlubnyI. 1999 Fractional Differential Equations, Academic Press, New York.
  5. YassenM. T. 2005 Chaos synchronization between two different chaotic systems using active control, ChaosSoliton and fractals 23,131-140
  6. Chen S. H. ,LuJ. 2002Syncronization of uncertain unified chaotic system via Adaptive control. Chaos SolitonsFractel14,643-647.
  7. NjahA. N. 2010 Tracking control and synchronization of the new hyperchaotic Liu system via backsteppingtechniques ,NonlinearDyanmics 61,1-9.
  8. YauH. T. 2004 Design of adaptive sliding mode controller for chaos synchronization with uncerteinties, chaos SolitonsFractals 22,341-347.
  9. Zaid M. O. 2010 adaptive feedback control and synchronization of non-identical chaotic fractional order system,Nonlinear Dynamics 60,479-487.
  10. AgrawalS. K. andDasS. 2013 Projective synchronization between different fractional-order hyperchaotic systems with uncertain parameters using proposed modified adaptive projective synchronization technique, Math. Method in Applied sci. (wileyonlinelibrary. com), 2963.
  11. Adams J. L. , Hartley T. T. and Adams L. I. 2010A solution to the fundamental linear complex-order differential equation, Adv. Eng. Soft. , 41 70-74.
  12. Sheu L. J, Chen H. K. , Chen J. H. , Tam L. M. , Chen W. C. , Lin K. T. and Kang Y. 2008 Chaos in theNewton– Leipnik system with fractional order. ChaosSolitons& Fractals. ; 36:98–103.
  13. PetrasIvo2009 Chaos in fractional-order Volta's system: modeling and simulation, Nonlinear Dyn:157-170.
Index Terms

Computer Science
Information Sciences

Keywords

Fractional Order Chaotic Systems Fractional Calculus