Dynamics of a Nonlinear Digital Resonator in Free Running and Injection Synchronized Mode: A Simulation Study
Saumen Chakraborty1, Bishnu Charan Sarkar2
1Saumen Chakraborty, Department of Physics, Bidhan Chandra College, Asansol-4, West Bengal, India.
2Bishnu Charan Sarkar, Department of Physics, University of Burdwan, Golapbag-4, West Bengal, India.
Manuscript received on July 17, 2012. | Revised Manuscript received on August 25, 2012. | Manuscript published on August 30, 2012. | PP: 94-98 | Volume-1 Issue-6, August 2012.  | Retrieval Number: F0638081612/2012©BEIESP

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Abstract: The structure of a linear digital resonator (DR) has been modified to realize the digital equivalent of Vander Pol Oscillator and the modified system has been found to exhibit several nonlinear dynamical phenomena like synchronization, quasi periodi city and chaos. Like its linear counterpart, the nonlinear DR can be implemented using common reliable building blocks and so the proposed system can be used as a chaos generator potentially useful in chaos-based communication systems. The dynamics of the nonlinear digital resonator has been studied through numerical simulation. 
Keywords: Chaos, nonlinear digital resonator, quasiperiodic , synchronization, Vanderpol oscillator.