Abstract
The results of a detailed study of the coupled logistic map are reported in view of its application to processes of interest in chemical physics. The nature of the fixed points is considered analytically. Extensive numerical computation has been performed to obtain bifurcation sequences, correlation of the two variables, largest Lyapunov exponent, spacing distribution and power spectra, resulting in pinpointing regions of chaotic, periodic and quasiperiodic behaviour of this map. New zones of chaos as well as windows of quasiperiodicity have been found. Possible applications of this map that would be useful in chemical physics, such as chemical reactions and absorption of infrared photons from two distinct external electromagnetic fields by polyatomic molecules, are discussed.
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