The modern theory of dynamical systems is a powerful tool for the analysis and simulation of problems in science and engineering. Over the years I have worked on a number of different projects and have employed a variety of techniques from dynamical systems theory. My Ph.D. work was in pattern formation in  nonlinear optical systems - an exciting field which combines theory in spatio-temporal dynamics with modern applications in optics. More recently, I have been engaged on an NIH-funded project, with my colleague Russell T. Carr from the University of New Hampshire, focused on spontaneous oscillations in microvascular bloodflow. While the field is completely different from that of nonlinear optics, the fundamental mathematics is the same. 

PROJECTS

• Spontaneous Oscillations in Micro-vascular Blood-Flow
• Pulse Dynamics in Mode-Locked Lasers
• Chaotic Laser Communication Schemes
• Pattern Formation in Nonlinear Optics