Nonlinear Interaction of Transversal Modes in a CO2 Laser

Details Nonlinear Interaction of Transversal Modes in a CO2 Laser Nonlinear Interaction of Transversal Modes in a CO2 Laser

2002-05-16

arxiv.org/abs/nlin/0205039v1

Physical Review A, vol. 49, 4916-4921 (1994)

Nonlinear Sciences

Chaotic Dynamics

16 pages, 0 figures

Scientific paper

10.1103/PhysRevA.49.4916

We show the possibility of achieving experimentally a Takens-Bogdanov bifurcation for the nonlinear interaction of two transverse modes ($l = \pm 1$) in a $CO_2$ laser. The system has a basic O(2) symmetry which is perturbed by some symmetry-breaking effects that still preserve the $Z_2$ symmetry. The pattern dynamics near this codimension two bifurcation under such symmetries is described. This dynamics changes drastically when the laser properties are modified.

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