**Dynamical Systems, Complex Systems**
Quantitative measures of chaotic behavior.
Coupled-map lattices. Neural networks.
Genetic algorithms. Applications to signal
processing, pattern recognition, time-series
analysis and forecasting.
**Partial Differential Equations**
Bifurcation phenomena in systems of nonlinear
PDEs. Applications to fluid and reaction-diffusion
systems.
**Computational Mathematics**
Development of computation and simulation methods
for scientific and engineering problems. Data
science and empirical modeling methods
and applications. Biomedical imaging. Industrial problems. |