Titlebook: Nonlinear Maps and their Applications; Selected Contributio Ricardo López-Ruiz,Danièle Fournier-Prunaret,Clara Conference proceedings 2015

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Discrete-Time Modelling of Sigma-Delta Inspired Systems for MEMS,dulation. Sigma-delta modulators are classic electronic circuits that implement data conversion. The feedback loop typical for sigma-delta modulation can be applied to actuate a MEMS device or control its state. The dynamics of such systems are described by a set of discrete-time equations (map). We

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,Nonlinear Maps: From the Toulouse Colloqium (1973) to NOMA’13,ics, in this framework specially to nonlinear maps. In 1973, the group organized the first international conference dedicated to nonlinear maps and their applications. The purpose of this chapter is to present the original contribution of this research group during about 40 years. Taking into accoun

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Lebesgue Measure of Recurrent Scrambled Sets,ated to a map . which is distributionally chaotic with a distributionally scrambled set .. The goal of this chapter is to improve this result, by showing that . is formed by points that are recurrent but not almost periodic. Moreover, as a main result it will be proved that any bitransitive map . is

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Discrete Maps and the Problem of Round Trip Time Scale Nonlinear Dynamics in Solid-State Lasers,tain new time scale nonlinear dynamics regimes in solid-state lasers. The combination of feedbacks enables the realization of nonlinear dynamics of the logistic map. In lasers with external harmonic modulation of losses the combination of positive and negative feedback loops makes it possible to obt

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The Importance of the Strategy in Backward Orbits,in time. Reversed dynamics reveals important aspects of the trajectories, such as a new necessary parameter. This is the strategy through which one orbit reaches an original state in the past. As a result, it is found that backward orbits exhibit sensitivity to the strategy. This gives additional ev

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