Technion-Israel Institute of Technology
 
Solid State Institute
 
SEMINAR
 
Date and Time: Wednesday 22/12/2010 at 12:30
 
Speaker: Prof. Roy Goodman
         Department of Mathematical Sciences
         New Jersey Institute of Technology, Newark, U.S.A.
 
Title:   Oscillatory Instabilities and Complex Dynamics in a
         three-mode waveguide.
 
Place:   Seminar Room of the Solid State Institute.
 
         (The Solid State Institute is about 30 metres east of the Physics Building.)
 
Abstract
 
A lot of attention has been paid to standing wave modes in nonlinear
wave systems with localized structure (defects).  In particular, applied
mathematicians have been interested in the question of whether such
modes are stable.  Less attention has been paid to the dynamics that
arise as the result of instability.  In this talk, I discuss the
conditions that give rise to oscillatory instabilities in a system of
three parallel waveguides.  I construct a family of waveguides in which
simple solutions are unstable at arbitrarily small amplitudes. I show
that above critical intensity, the light hops chaotically between the
the three waveguides and discuss the implications of this for larger
arrays of waveguides.
 
For more information: Call Ms. Ariela Sharon,
Secretary, Solid State Institute, Tel. 3630.
 
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Technion Math. Net (TECHMATH)
Editor: Michael Cwikel   <techm@math.technion.ac.il> 
Announcement from: Ariela Sharon   <ariela@techunix.technion.ac.il>