On the evaluation of analog simulation of the dynamics of nonlinear systems for communication

Chedjou, Jean Chamberlain; Dada, J.P.; Tchitnga, Robert; Takenga, Claude; Anne, RadhaKiranMaye; Nana, B.; Kyamakya, Kyandoghere

doi:10.1109/vetecf.2004.1404862

Cited by 1 publication

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“…The relevant state-of-the-art provides insight/information related to the dynamical behavior of chaotic electronic circuits [4][5][6][7][8][9][10][11][12][13][14][15][16][17][18]. Compared to their Low frequency counterparts, high frequency chaotic oscillators present interesting features [3,12] that make them suitable for communication operations.…”

Section: Introductionmentioning

confidence: 99%

“…Compared to their Low frequency counterparts, high frequency chaotic oscillators present interesting features [3,12] that make them suitable for communication operations. Current designs exploit the intrinsic nonlinearity of a bipolar junction transistor (BJT) in a single stage oscillator built with a LC resonator [4][5][6][7][8][9][10][11][12][13][14][15][16][17][18]. Among various chaotic oscillators of this type, the Colpitts oscillator [6,7] stands as a good prototype/paradigm.…”

Section: Introductionmentioning

confidence: 99%

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On the analysis of bipolar transistor based chaotic circuits: case of a two-stage colpitts oscillator

et al. 2011

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We perform a systematic analysis of a system consisting of a two-stage Colpitts oscillator. This well-known chaotic oscillator is a modification of the standard Colpitts oscillator obtained by adding an extra transistor and a capacitor to the basic circuit. The two-stage Colpitts oscillator exhibits better spectral characteristics compared to a classical single-stage Colpitts oscillator. This interesting feature is suitable for chaos-based secure communication applications. We derive a smooth mathematical model (i.e., sets of nonlinear ordinary differential equations) to describe the dynamics of the system. The stability of the equilibrium states is carried out and conditions for the oc-J. Kengne ( ) · V.A. Fono Laboratoire d'Automatique et d'Informatique Appliquée currence of Hopf bifurcations are obtained. The numerical exploration reveals various bifurcation scenarios including period-doubling and interior crisis transitions to chaos. The connection between the system parameters and various dynamical regimes is established with particular emphasis on the role of both bias (i.e., power supply) and damping on the dynamics of the oscillator. Such an approach is particularly interesting as the results obtained are very useful for design engineers. The real physical implementation (i.e., use of electronic components) of the oscillator is considered to validate the theoretical analysis through several comparisons between experimental and numerical results.

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