We develop optoelectronic and magnetic materials for leadless electrical and mechanical stimulation of cells and tissues at all size scales (nano-micro-macro).
Nonlinear and chaotic dynamical systems are unpredictable even without random perturbations that are inherent in nature. We make use of multiple-scale asymptotics and numerical bifurcation analysis to investigate nonlinear interactions in systems modeled by continuum mechanics, and employ chaos theory to determine the nature of instabilities governed by sensitivity-to-initial-conditions. Our current research includes applications in nano-mechanics and fluid-structure-interaction where complex spatio-temporal dynamics and self-excited system response cannot be explained by standard linear analysis