On stability for time-periodic perturbations of harmonic oscillators. (English) Zbl 0693.34063

Huang, Min-Jei

Ann. Inst. Henri Poincaré, Phys. Théor. 50, No. 3, 229-238 (1989).

According to the author’s abstract, it is shown that for two classes of harmonic oscillators with time periodic perturbations the kinetic and potential energy remain bounded and the monodromy operator has point spectrum. Further an example is given for which these conclusions may be false.

Reviewer: R.Lee

MSC:

34D20	Stability of solutions to ordinary differential equations
34C10	Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations

Keywords:

harmonic oscillators; monodromy operator; point spectrum

References:

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