NEW APPROACH TO THE CORRELATION SPECTRUM NEAR INTERMITTENCY - A QUANTUM-MECHANICAL ANALOGY

The correlation spectrum of fully developed one-dimensional mappings i s studied near and at a weakly intermittent situation. Using a suitabl e infinite-matrix representation, the eigenvalue equation of the Frobe nius-Perron operator is approximately reduced to the radial Schrodinge r equation of the hydrogen atom. Corrections are calculated by quantum mechanical perturbation theory. Analytical expressions for the spectr al properties and correlation functions are derived and checked numeri cally. Compared to our previous work, the accuracy of the present resu lts is significantly higher owing to the controlled and systematic app roximation scheme.