Recent advances on information transmission and storage assisted by noise

The interplay between nonlinear dynamic systems and noise has proved to be of great relevance in several application areas. In this presentation, we focus on the areas of information transmission and storage. We review some recent results on information transmission through nonlinear channels assisted by noise. We also present recent proposals of memory devices in which noise plays an essential role. Finally, we discuss new results on the influence of noise in memristors.Comment: To be published in "Theory and Applications of Nonlinear Dynamics: Model and Design of Complex Systems", Proceedings of ICAND 2012 (Springer, 2014

Memristor models for pattern recognition systems

The design of Memristor Oscillatory Neurocomputers for pattern recognition tasks may not leave aside a preliminary thorough investigation of the nonlinear dynamics of the whole system and its basic components. This chapter yields novel insights into the peculiar nonlinear dynamics of different memristor models. A detailed mathematical treatment aimed at highlighting the key impact the initial condition on the flux across a memristor with odd-symmetric charge-flux characteristic has on the development of a particular dynamical behavior. It is proved how, driving the memristor with a sine-wave voltage source, the amplitude-angular frequency ratio selects a sub-class of observable current-voltage behaviors from the class of all possible dynamics, while the initial condition on flux specifies which of the behaviors in the sub-class is actually observed. In addition, a novel boundary condition-based model for memristor nano-scale films points out how specification of suitable dynamical behavior at film ends, depending on the particular physical realization under study and on driving conditions, crucially determines the observed dynamic