For more information about this meeting, contact Sergei Tabachnikov, Diane Henderson.
|Seminar:||Department of Mathematics Colloquium|
|Speaker:||Lai-Sang Young, Courant Institute|
|By shear-induced chaos in a driven dynamical system, I refer to the phenomenon in which a system with simple dynamics acquires sustained chaotic behavior when the effect of periodic forcing is amplified by shearing in the system. Two mathematical characterizations of chaos, namely the instability of large sets of orbits and the resemblance of dynamical data to those generated by stochastic processes, will be discussed, and known ways of proving these properties will be reviewed
briefly. The focus of much of this talk will be on shear as a geometric mechanism for producing chaos. I will demonstrate that this phenomenon manifests itself in many different guises, from kicked limit cycles to Hopf bifurcations to coupled oscillators, in systems defined by ODEs, SDEs and PDEs. A combination of analytical and numerical results will be presented.|
Room Reservation Information
|Date:||10 / 24 / 2008|
|Time:||02:00pm - 03:00pm|