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An experimental setting for the polarimetric study of optically induceddynamical behavior in nematic liquid crystal films has allowed to identify mostnotably some behavior which was recognized as gluing bifurcations leading tochaos. This analysis of the data used a comparison with a model for thetransition to chaos via gluing bifurcations in optically excited nematic liquidcrystals previously proposed by G. Demeter and L. Kramer. The model of theselast authors, proposed about twenty years before, does not have the centralsymmetry which one would expect for minimal dimensional models for chaos innematics in view of the time series. What we show here is that the simplesttruncated normal forms for gluing, with the appropriate symmetry and minimaldimension, do exhibit time signals that are embarrassingly similar to the onesfound using the above mentioned experimental settings. The gluing bifurcationscenario itself is only visible in limited parameter ranges and substantialaspect of the chaos that can be observed is due to other factors. First, out ofthe immediate neighborhood of the homoclinic curve, nonlinearity can produceexpansion leading to chaos when combined with the recurrence induced by thehomoclinic behavior. Also, pairs of symmetric homoclinic orbits create extremesensitivity to noise, so that when the noiseless approach contains a richbehavior, minute noise can transform the complex damping into sustained chaos.Leonid Shil'nikov taught us that combining global considerations and localspectral analysis near critical points is crucial to understand thephenomenology associated to homoclinic bifurcations. Here this helps usconstruct a phenomenological approach to modeling experiments in nonlineardissipative contexts.Comment: 25 pages, 9 figure

A PHENOMENOLOGICAL APPROACH TO NORMAL FORM MODELING: A CASE STUDY IN LASER INDUCED NEMATODYNAMICS