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A simple analytic model for the progressive breakdown (BD) dynamics of ultrathin) gate oxides is presented. It is shown how the interplay between series and parallel resistances that represent the breakdown path and its surroundings leads to a sigmoidal I-t characteristic compatible with experimental data. The analysis is carried out using the Lyapunov exponent and the potential function associated...
The chaotic property of nonlinear dynamic systems are better characterized using a non integer dynamic model based on fractional calculus or differentiation or integration of non integer order. Dynamical system at fractional order have attracted increasingly in recent years. In this paper we investigate the fractional order of logistic equation on the basis of fractional calculus. The chaotic behavior...
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