On Some Applications of Nonlinear Differential Equations in Image Processing: Concepts and Electronic Implementation

International audienc

Dichotomy between the detection and information transmission, points of view in the asymmetric binary channel

SP-Elsevier, n/a, (2006)International audienc

Revisiting the asymmetric binary channel : joint noise enhanced detection and information transmission through threshold devices

Noise and Fluctuations, ed. S. 2005, 58-45, pp. 50-60 (2005)International audienc

Image Encryption/Decryption system based on an oscillatory cellular nonlinear network

International audienc

Noise induced breather generation in a sine-Gordon chain

International audienceWe consider a sine-Gordon chain driven sinusoidally at one end. In the absence of noise, there exists a well known critical value of the amplitude beyond which breather modes can be generated via the phenomenon of supratransmission. We consider values of the driving amplitude below the critical amplitude such that no breather propagates in the medium. We show that noise induces breather generation with a given probability depending on the noise intensity. We also propose a bifurcation diagram which extends the supratransmission effect to a more realistic signal, namely a noisy sinusoidal excitation. We finally discuss some promising signal processing applications that can be developed by taking into account the contribution of noise in the media sharing this supratransmission phenomenon