Chaos from Hopf bifurcation in a fluid flow experiment

Phys Rev E Stat Nonlin Soft Matter Phys. 2004 Oct;70(4 Pt 2):046209. doi: 10.1103/PhysRevE.70.046209. Epub 2004 Oct 22.

Abstract

Results of an experimental study of a Hopf bifurcation with broken translation symmetry that organizes chaotic homoclinic dynamics from a T2 torus in a fluid flow as a direct consequence of physical boundaries are presented. It is shown that the central features of the theory of Hopf bifurcation in O(2)-symmetric systems where the translation symmetry is broken are robust and are appropriate to describe the appearance of modulated waves, homoclinic bifurcation, Takens-Bogdanov point, and chaotic dynamics in a fluid flow experiment.