Abstract
Using an analytical method proposed originally for the logistic map, we studied in detail the bifurcation diagram of a bimodal map related to a hybrid optical bistability device with liquid crystal as the nonlinear medium. In particular, we gave the equations of all the dark lines going through the chaotic region and all boundaries of the chaotic bands. We showed how to determine the parameter value for a given superstable period from corresponding word in the symbolic dynamics made of four letters.
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