Quasi Non-Integrable Hamiltonian System and its Applications

CDSNS Colloquium
Monday, November 9, 2009 - 11:00
1 hour (actually 50 minutes)
Skiles 269
Tianjin Polytechnic University, China and School of Mathematics, Georgia Tech
Many dynamical systems may be subject to stochastic excitations, so to find an efficient method to analyze the stochastic system is very important. As for the complexity of the stochastic systems, there are not any omnipotent methods. What I would like to present here is a brief introduction to quasi-non-integrable Hamiltonian systems and stochastic averaging method for analyzing certain stochastic dynamical systems. At the end, I will give some examples of the method.