Physics Research
 
Summary
 
My research explores “the nonlinear dynamics of complex systems” and broadly falls into the burgeoning field of nonlinear and statistical physics. In recent years, I have studied systems as varied as nonlinear electrical transmission lines, chains of coupled pendula, networks of neuronal oscillators, and spin lattices. In all of these systems, nonlinearity and lattice/network geometry play important roles, as they enable and guide processes of patterns formation. Broadly speaking, I aim to experimentally characterize emergent patterns, study their onset and  boundaries in parameter space, and to formulate mathematical models which allow a numerical and/or analytical exploration. Ideas from the field of dynamical systems (such as fixed points, stability, bifurcation, hysteresis) are essential in this endeavor.
 
Other interests include the Calculus of Variations, magnetism and spin resonance, microwave spectroscopy, medical imagining techniques, and issues in the philosophy of science.  
     

ILMs / Discrete Solitons

Spontaneous Synchronization / Neural Networks
 
Versatile LED lighting

Magnetic Resonance

      

        Nonlinearly localized mode of oscillation in an electrical lattice

                                                    Figure from: J. Phys D 40, 5394-5398 (2007) 

 

For an interesting catenary (hanging cable) demonstation on the Mathematica website, click here.