GENERAL |
|
|
|
|
An Analytical Study on the Synchronization of Murali–Lakshmanan–Chua Circuits |
G. Sivaganesh** |
Alagappa Chettiar College of Engineering and Technology, Karaikudi Tamilnadu-630 004, India
|
|
Cite this article: |
G. Sivaganesh 2015 Chin. Phys. Lett. 32 010503 |
|
|
Abstract An explicit analytical solution is presented for unidirectionally coupled two Murali–Lakshmanan–Chua circuits exhibiting chaos synchronization in their dynamics. The transition of the system from an unsynchronized state to a state of complete synchronization under the influence of the coupling parameter is observed through phase portraits obtained from the analytical solutions of the circuit equations characterizing the system.
|
|
Published: 23 December 2014
|
|
PACS: |
05.45.Gg
|
(Control of chaos, applications of chaos)
|
|
05.45.Xt
|
(Synchronization; coupled oscillators)
|
|
|
|
|
[1] Chua L O, Kocarev L, Eckert K and Itoh M 1992 Int. J. Bifurcation Chaos Appl. Sci. Eng. 2 705 [2] Chua L O, Kocarev L, Eckert K and Itoh M 1993 J. Circuits Syst. Comput. 3 93 [3] Murali K and Lakshmanan M 1993 Phys. Rev. E 48 R1624 [4] Murali K and Lakshmanan M 1994 Phys. Rev. E 49 4882 [5] Murali K and Lakshmanan M 1995 Int. J. Bifurcation Chaos Appl. Sci. Eng. 5 563 [6] Murali K and Lakshmanan M 1996 Chaos Nonlinear Oscillators: Controlling Synchronization (Singapore: World Scientific) chap 9 p 239 [7] Murali K and Lakshmanan M 1997 Int. J. Bifurcation Chaos Appl. Sci. Eng. 7 415 [8] Erjaee G H 2009 Chaos Solitons Fractals 39 1195 [9] Mahmoud G M and Mahmoud E E 2010 Nonlinear Dyn. 62 875 [10] Cafagna D and Grassi G 2012 Nonlinear Dyn. 68 117 [11] Mahmoud G M and Mahmoud E E 2012 Nonlinear Dyn. 67 1613 [12] Boccaletti 2002 Phys. Rep. 366 1 [13] Wang S, Yu Y G, Wang H and Rahmani A 2014 Chin. Phys. B 23 040502 [14] Murali K, Lakshmanan M and Leon O Chua 1994 IEEE Trans. Circuits Syst. 41 462 [15] Murali K, Lakshmanan M and Chua L O 1994 Int. J. Bifurcation Chaos Appl. Sci. Eng. 4 1511 [16] Murali K and Lakshmanan M 1995 Philos. Trans. A 353 33 [17] Lakshmanan M and Rajasekar S 2003 Nonlinear Dynamics: Integrability Chaos Patterns (Berlin: Springer) chap 6 p 173 [18] Thamilmaran K and Lakshmanan M 2002 Int. J. Bifurcation Chaos Appl. Sci. Eng. 12 783 [19] Thamilmaran K, Senthil Kumar D V, Lakshmanan M and Ishaq Ahamed A 2005 Int. J. Bifurcation Chaos Appl. Sci. Eng. 15 637 [20] Manimehan I, Thamilmaran K and Philominathan P 2009 Int. J. Bifurcation Chaos Appl. Sci. Eng. 19 2347 [21] Arulgnanam A, Thamilmaran K and Daniel M 2009 Chaos Solitons Fractals 42 2246 |
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|