You are in:Home/Publications/Alain KST, Romanic K, Azar AT, Vaidyanathan S, Bertrand FH, Adele NM (2018) Dynamics Analysis and Synchronization in Relay Coupled Fractional Order Colpitts Oscillators. Advances in System Dynamics and Control, pp. 317-356

Dr. Assoc. Prof. Ahmad Taher Azar :: Publications:

Title:
Alain KST, Romanic K, Azar AT, Vaidyanathan S, Bertrand FH, Adele NM (2018) Dynamics Analysis and Synchronization in Relay Coupled Fractional Order Colpitts Oscillators. Advances in System Dynamics and Control, pp. 317-356
Authors: Not Available
Year: 2019
Keywords: Not Available
Journal: Advances in System Dynamics and Control
Volume: Not Available
Issue: Not Available
Pages: 317-356
Publisher: IGI-Global, USA
Local/International: International
Paper Link:
Full paper Not Available
Supplementary materials Not Available
Abstract:

In this chapter, the dynamics of a particular topology of Colpitts oscillator with fractional order dynamics is presented. The first part is devoted to the dynamics of the model using standard nonlinear analysis techniques including time series, bifurcation diagrams, phase space trajectories plots, and Lyapunov exponents. One of the major results of this innovative work is the numerical finding of a parameter region in which the fractional order Colpitts oscillator's circuit experiences multiple attractors' behavior. This phenomenon was not reported previously in the Colpitts circuit (despite the huge amount of related research works) and thus represents an enriching contribution to the understanding of the dynamics of Chua's oscillator. The second part of this chapter deals with the synchronization of fractional order system. Based on fractional-order Lyapunov stability theory, this chapter provides a novel method to achieve generalized and phase synchronization of two and network fractional-order chaotic Colpitts oscillators, respectively.

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