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# EXPERIMENTS ON AN ELECTRICAL NONLINEAR OSCILLATORS NETWORK

International Journal of Bifurcation and Chaos (Impact Factor: 0.92). 11/2011; 17(10). DOI: 10.1142/S0218127407019329

Source: dx.doi.org

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**ABSTRACT:**We consider a sine-Gordon chain sinusoidally driven at one end. In 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.Journal of Statistical Mechanics Theory and Experiment 01/2009; 1(01). · 1.87 Impact Factor - [Show abstract] [Hide abstract]

**ABSTRACT:**Nonlinear Systems for Image ProcessingAdvances in imaging and electron physics. - [Show abstract] [Hide abstract]

**ABSTRACT:**In this paper, the dynamic behaviour of the "click" mechanism is analysed. A more accurate model is used than in the past, in which the limits of movement due to the geometry of the flight mechanism are imposed. Moreover, the effects of different damping models are investigated. In previous work, the damping model was assumed to be of the linear viscous type for simplicity, but it is likely that the damping due to drag forces is nonlinear. Accordingly, a model of damping in which the damping force is proportional to the square of the velocity is used, and the results are compared with the simpler model of linear viscous damping. Because of the complexity of the model an analytical approach is not possible so the problem has been cast in terms of non-dimensional variables and solved numerically. The peak kinetic energy of the wing root per energy input in one cycle is chosen to study the effectiveness of the "click" mechanism compared with a linear resonant mechanism. It is shown that, the "click" mechanism has distinct advantages when it is driven below its resonant frequency. When the damping is quadratic, there are some further advantages compared to when the damping is linear and viscous, provided that the amplitude of the excitation force is large enough to avoid the erratic behaviour of the mechanism that occurs for small forces.Journal of Theoretical Biology 09/2011; 289:173-80. · 2.35 Impact Factor

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