Alex Potapov

                     
Research


My primary research interest is understanding the behavior of complex systems and their models. This is at the intersection of mathematics (methods and theorems from PDEs, dynamical systems, linear algebra, numerical techniques), physics (modeling approach, ideas from thermodynamics, statistical physics, synergetics), and biology or ecology (a lot of objects for modeling). The style of research may be very different -- from rigorous proofs (ideally) to numerical and non-rigorous approximate studies.

My primary research interest is understanding the behavior of complex systems and their models. This problem is at the intersection of mathematics (methods and theorems from PDEs, dynamical systems, linear algebra, numerical techniques), physics (modeling approach, ideas from thermodynamics, statistical physics, synergetics), and biology or ecology (a lot of objects for modeling). The style of research may be very different -- from rigorous proofs (ideally) to numerical and non-rigorous approximate studies.  The models may be both mathematical (dynamical systems) and statistical.

My major most recent projects, which I did at the 
Centre for Mathematical Biology, include:
Major topics of my past research are:
Modeling and analysis of complex behavior have many applications in ecology, biology, neuroscience as well as in practical management.  I hope for new interesting challenges in my future work


* * *