Papers by Dr. Tanmoy Banerjee
Physical review. E, Statistical, nonlinear, and soft matter physics, 2014
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RELIGION, Jan 1, 2005
ABSTRACT This article investigates the effect of the conventional and extended time-delayed feedb... more ABSTRACT This article investigates the effect of the conventional and extended time-delayed feedback con- trol techniques of chaos control on a first-order positive zero-crossing digital phase locked loop (ZC1-DPLL) using local stability analysis, two parameter bifurcation studies and two param- eter Lyapunov exponent spectrum. Starting from the nonlinear dynamics of a ZC1-DPLL, we at first explore the time-delayed feedback control (TDFC) algorithm on a ZC1-DPLL in the parameter space. A condition for the optimum value of the system control parameter is derived analytically for a TDFC based ZC1-DPLL. Next, the extended time-delayed feedback control (ETDFC) technique on a ZC1-DPLL is described. It is observed that the application of the delayed feedback control (DFC) technique on the sampled values of the incoming signal inside the loop finally results in the nonlinear DFC of the phase error dynamics. We prove that, for some suitably chosen control parameters, an ETDFC based ZC1-DPLL has a broader stability zone in comparison with a ZC1-DPLL and its TDFC version.
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Nonlinear Dynamics, Jan 1, 2012
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AEU-International Journal of Electronics and …, Jan 1, 2006
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AEU-International Journal of …, Jan 1, 2011
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Nonlinear Dynamics, Jan 1, 2012
ABSTRACT This paper explores the synchronization scenario of coupled chaotic and hyperchaotic tim... more ABSTRACT This paper explores the synchronization scenario of coupled chaotic and hyperchaotic time delay systems that are coupled through linear, dissipative and unidirectional coupling. For the present study, we choose a prototype first-order nonlinear time delay system, which is recently reported in Banerjee et al. (Nonlinlinear. Dyn., doi:10.1007/s11071-012-0490-3, 2012); the system shows well-characterized chaotic and hyperchaotic oscillations even for a small time delay, and also, experimental implementation of the system is easy. We show that, keeping all the system design parameters the same for the two systems, if the time delays associated with the two systems are equal, then complete synchronization occurs beyond a threshold coupling strength. On the contrary, above a certain coupling strength, generalized synchronization between two identical coupled systems occurs for the unequal time delays. We derive an estimate of the coupling strength and sufficient stability conditions for all the synchronization processes using Krasovskii–Lyapunov theory. We simulate the coupled system numerically to support the analytical results. Also, we implement the coupled system in an electronic circuit to verify all the synchronization phenomena. It is shown that the experimental results agree well with our analytical and numerical results.
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International Journal of Engineering
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IETE Journal of …, Jan 1, 2009
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Nonlinear Dynamics, Jan 1, 2012
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Nonlinear Dynamics, Jan 1, 2010
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AEU-International Journal of Electronics and …, Jan 1, 2006
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International Journal of Electronics, Jan 1, 2009
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AEU-International Journal of Electronics …, Jan 1, 2008
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Papers by Dr. Tanmoy Banerjee