Applied and Computational Mathematics
Volume 2, Issue 6, December 2013, Pages: 130-136
Received: Oct. 13, 2013;
Published: Nov. 20, 2013
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Shko A. TAHIR, University of Sulaimani, Faculty of Science and Science Education, School of Science, Department of Mathematics, Iraq
In this paper, we use Lyapunov direct method to analyze two identical Memristors systems and synchronization phenomena were discussed. The designed controllers were capable of making the time derivative of the Lyapunov’s negative definite functions where these results give guarantees of stability of the error dynamics at the origin and proved the results in form of theoretical and numerical ways. As the result, in both cases, one can see the synchronization phenomena.
Shko A. TAHIR,
The Synchronization of Identical Memristors Systems Via Lyapunov Direct Method, Applied and Computational Mathematics.
Vol. 2, No. 6,
2013, pp. 130-136.
L. O. Chua, Memristor - The missing circuit element, IEEE Trans. Circuit Theory 18 (1971).
L.M. Pecora, T.L. Carroll: Synchronization in chaotic systems. Physical Review Letters. 64:821-824(1990).
Vincent UE, Njah AN, Akinlade O, Solarin ART: Phase synchronization in undirectionally coupled chaotic ratchets . Chaos 14:1018-1025(2004).
Vincent UE, Njah AN, Akinlade O, Solarin ART: Phase synchronization in bidirectionally coupled chaotic ratchets . Physica A.360:180-196(2006).
M A Aziz-Alaoui, Synchronization of Chaos, université du Havre, Elsevier Ltd. 213-226, 2006.
M.T.Yassen, Adaptive control and synchronization of a modified Chua's circuit system, Applied Mathematics and Computation 135 113-128, 2003.
A. N. Njah and O.D. Sunday, Synchronization of Identical and Non-identical 4-D Chaotic Systems via Lyapunov Direct Method, International Journal of Nonlinear Science Vol.8 No.1,pp. 3-10, 2009.
M. ITOH, MEMRISTOR OSCILLATORS, September, International Journal of Bifurcation and Chaos, Vol. 18, No. 11, 3183-3206 18, 2008.
Dmitri B. Strukov, Gregory S. Snider, Duncan R. Stewart and R. Stanley Williams, The missing memristor found, Vol 453 nature 06932 1 May 2008.
B. Muthuswamy, Memristor Based Chaotic Circuits, Technical Report No.UCB/EECS-2009.