last modified
February 12, 2014 - 15:57 CET

# Modelling of nonlinear phenomena

One of the themes that runs through the NCAS research activities is the applicability of all kinds of mathematical ideas to "real-world" problems. Some of these arise in attempts to explain/model natural phenomena, such as hysteresis or signals production by a nerve axon. Other applications are found in the huge field of information processing (e.g., algorithms and circuits for real-time image processing) or parameter estimation from measured time-series (e.g., in black-box dynamical systems identification and modelling).A significant part of the mathematical ideas and tools recurrent in these research activities follows from the inverse problems theory. A brief, non exhaustive summary of the topics of interest is the following:

- Optimization and synthesis of devices
- Model fitting
- Image analysis
- Integral equations solution
- Parameter estimation, regularization, model resolution
- Classification and regression

## Involved People:

## Major Publications:

- De Feo, O. & Storace, M.

Piecewise-linear identification of nonlinear dynamical systems in view of their circuit implementations

*IEEE Transactions on Circuits and Systems I: Regular Papers,***2007***, 54*, 1542-1554 - Anzalone, A.; Bizzarri, F.; Storace, M. & Parodi, M.

A Cellular Nonlinear Network for image fusion based on data regularization

*International Journal of Circuit Theory and Applications,***2006***, 34*, 533-546 - Repetto, L.; Parodi, M. & Storace, M.

A procedure for the computation of accurate PWL approximations of nonlinear dynamical systems

*International Journal of Circuit Theory and Applications,***2006***, 34*, 237-248

## Funding:

- ?