Generalized synchronization between two different nonlinear systems under influence of noise is studied with the help of an electronic circuit and numerical experiment. In the present case, we have studied the phenomena of generalized synchronization between the Lorenz system and another nonlinear system (modified Lorenz) proposed in Ray et al. (2011, “On the Study of Chaotic Systems With Non-Horseshoe Template,” Frontier in the Study of Chaotic Dynamical Systems With Open Problems, Vol. 16, E. Zeraoulia and J. C. Sprott, eds., World Scientific, Singapore, pp. 85–103) from the perspective of electronic circuits and corresponding data collected digitally. Variations of the synchronization threshold with coupling (between driver and driven system) and noise intensity have been studied in detail. Later, experimental results are also proved numerically. It is shown that in certain cases, noise enhances generalized synchronization, and in another it destroys generalized synchronization. Numerical studies in the latter part have also proved results obtained experimentally.
Effect of Noise on Generalized Synchronization: An Experimental Perspective
Contributed by the Design Engineering Division of ASME for publication in the Journal of Computational and Nonlinear Dynamics. Manuscript received November 16, 2011; final manuscript received August 9, 2012; published online October 30, 2012. Assoc. Editor: Stefano Lenci.
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Ray, A., RoyChowdhury, A., and Basak, S. (October 30, 2012). "Effect of Noise on Generalized Synchronization: An Experimental Perspective." ASME. J. Comput. Nonlinear Dynam. July 2013; 8(3): 031003. https://doi.org/10.1115/1.4007445
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