## Thursday, May 4, Clark Bldg., Room C217, 1pm

###
Complex dynamics in the 2:1-spatial resonance

#### Edgar Knobloch

Department of Physics

University of California, Boulder

The amplitude equations describing the 1:2 spatial resonance in O(2)
symmetric systems are reexamined. Complex dynamical behavior associated
with a new class of global connections is identified and analyzed. These
connections form further from the mode interaction point where the
structurally stable heteroclinic cycles described by Armbruster,
Guckenheimer and Holmes (Physica D , 257 (1988)), and Proctor and
Jones (J. Fluid Mech. 188, 301 (1988)) no longer exist.
The resulting behavior is characteristic of systems with O(2) X Z_2
symmetry in which the symmetry Z_2 is weakly broken.

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Please direct any comments to

Gerhard Dangelmayr at gerhard@math.colostate.edu.