Chaos in a novel Wien bridge-based RC chaotic oscillator: dynamic analysis with application to image encryption

In the present contribution, we design a novel chaotic circuit with a symmetrical nonlinear component by replacing the single semiconductor diode in the original circuit by [Namajunas & Tamasevicius, 1995] with a pair of diodes connected in antiparallel. By exploiting the Shockley diode equation...

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Vydané v:Analog integrated circuits and signal processing Ročník 112; číslo 3; s. 495 - 516
Hlavní autori: Ramadoss, Janarthanan, Kengne, Jacques, Telem, Adelaide Nicole Kengnou, Tsafack, Nestor, Rajagopal, Karthikeyan
Médium: Journal Article
Jazyk:English
Vydavateľské údaje: New York Springer US 01.09.2022
Springer Nature B.V
Predmet:
Algorithms
Bifurcations
Broken symmetry
Bubbles
Chaos theory
Circuit design
Circuits and Systems
Digital imaging
Diodes
Electrical Engineering
Engineering
Mathematical models
Nonlinearity
Oscillators
Permutations
Semiconductor diodes
Sequences
Signal,Image and Speech Processing
Wien bridge-based RC chaotic oscillator
Hahn orthogonal moments
Knuth permutation algorithm
Bifurcation analysis
Coexisting attractors
Bubbles and reverse bubbles of bifurcation
ISSN:0925-1030, 1573-1979
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Popis
Shrnutí:In the present contribution, we design a novel chaotic circuit with a symmetrical nonlinear component by replacing the single semiconductor diode in the original circuit by [Namajunas & Tamasevicius, 1995] with a pair of diodes connected in antiparallel. By exploiting the Shockley diode equation and adopting a judicious choice of state variables, we derive a smooth (i.e. with hyperbolic nonlinearities) mathematical model to investigate both the regular and chaotic dynamics of the novel RC oscillator. In addition to the familiar period-doubling bifurcations already observed in previous versions of the same oscillator, the novel oscillator exhibits more interesting dynamical properties including for instance, symmetry breaking bifurcation, merging crisis and coexisting multiple attractors as well. Interestingly, one of the most gratifying (and rare) features of the new circuit is the occurrence of both bubbles and reverse bubbles of bifurcation for some suitable parameter ranges. An excellent agreement is observed between theoretical and experimental results. The model is digitalized for digital image encryption. First the Hahn orthogonal moments of each pixel of the plain image is computed, and then Knuth permutation algorithm is combined to chaotic sequences to scramble the resulting image in the transform domain. Finally, the permuted image will be diffused using the pseudo random chaotic sequences. Security analysis indicates good performances of the model to encrypt and decrypt digital images.
Bibliografia:ObjectType-Article-1
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ISSN:0925-1030
1573-1979
DOI:10.1007/s10470-022-02061-8