Synchronization of Two Chaotic Oscillators Through Threshold Coupling
In this paper, the dynamic modeling of two identical oscillators which are coupled through threshold controller is proposed. Until now, most of the synchronization of chaotic systems found in literature is based on common coupling methods (unidirectional and bidirectional) that attracted the attention of researchers. To strengthen this, the idea illustrated here is to show the effectiveness of a new kind of coupling called threshold controller coupling. Using this, complete and anticipatory synchronization could be achieved. The system used is of second-order non-autonomous type. The coupled system is investigated using MATLAB–Simulink technique. The result shows that based on coupling strength, coupled system is switched among the basic synchronization, viz. lead and complete.
KeywordsModeling Synchronization Threshold controller Chaotic MATLAB–Simulink
This research work is supported by SERB under project No: SR/S2/HEP-042/2012, and authors thank SERB for providing financial support.
- 2.Huygen, C.: The Pendulum Clock. Iowa State University Press, Ames (1986)Google Scholar
- 7.Raja Mohamed, I., Srinivasan, K.: Lag and anticipating synchronization in one way coupled Chua’s circuit. In: 2nd International Conference on Devices, Circuits and Systems, (2014)Google Scholar
- 11.Pecora, L.M., Carroll, T.L., Johnson, G.A., Mar D.J.: Fundamentals of synchronization in chaotic systems, concepts, and applications. Chaos: Am. Inst. phys. 4 (1997)Google Scholar
- 13.Senthilkumar, D.V., Lakshmanan, M.: Transition from anticipatory to lag synchronization via complete synchronization in time–delay systems. Phys. Rev. E. 71 (2005)Google Scholar
- 17.Cumo, K.M, Oppenheim, V., Stogatz, SH.: Synchronization of Lorenz-based Chaotic circuits with applications to communications IEEE Trans. Circ. Sys.-11: Analog Digit. Sig. Process. 40(10) (1993)Google Scholar
- 18.Volos, C.K., Kyprianidis, I.M., Stouboulos, I.N.: Synchronization of two mutually coupled duffing—type circuits. Int. J Circ. Sys. Sig. Process. 1, 274 (2007)Google Scholar