Geodesic
Quasienergies of an anharmonic oscillator in parametric resonance
Teoretičeskaâ i matematičeskaâ fizika, Tome 41 (1979) no. 3, pp. 336-345

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The Schrödinger equation for a parametrically excited anharmonie oscillator is reduced to an equation with a stationary three-diagonal Hamiltonian matrix. The quasienergy solutions are sought, this leading to a three-term recursion relation which is solved approximately by means of the discrete analog of the WKB method. 
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     author = {P. A. Braun},
     title = {Quasienergies of an anharmonic oscillator in parametric resonance},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {336--345},
     publisher = {mathdoc},
     volume = {41},
     number = {3},
     year = {1979},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1979_41_3_a4/}
}
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P. A. Braun. Quasienergies of an anharmonic oscillator in parametric resonance. Teoretičeskaâ i matematičeskaâ fizika, Tome 41 (1979) no. 3, pp. 336-345. http://geodesic.mathdoc.fr/item/TMF_1979_41_3_a4/