Description and Control of Complex Chemical and Biological Systems
Oscillatory networks, in addition to their mutual interactions, are often exposed to external forcing (such as through light in circadian rhythms) and feedback. Design of networks of controllable and time-varying interaction strengths, external forcing, and feedback are developed in experimental settings to optimize structure and activity.
1. Chaos Control
Chaos control methods have been developed to tame chaotic metal dissolution reactions. The methods are based on classical engineering method (e.g., proportional time-delay feedback/derivative feedback) but the use of new approaches (Artificial Neural Networks) are also studied.
2. Control of Synchrony in Oscillator Populations
Deep brain stimulation methods are currently used to destroy pathological synchronization of neurons in the brain.
We develop efficient desynchronization techniques with well-timed pulses using an electrochemical setup. The goal is to improve pacemakers for physiological rhythms and anti-pacemakers for pathological rhythms (e.g., in epilepsy or essential tremor).