Optimal intervals of stability of a forced oscillator

Alonso, Jose Miguel

doi:10.1090/S0002-9939-1995-1301005-7

Optimal intervals of stability of a forced oscillator
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by Jose Miguel Alonso

Proc. Amer. Math. Soc. 123 (1995), 2031-2040

DOI: https://doi.org/10.1090/S0002-9939-1995-1301005-7

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Abstract:

Consider the differential equation of a nonlinear oscillator with linear friction and a T-periodic external force. We find optimal bounds on the derivative of the restoring force and on the period T in order to obtain a unique T-periodic solution that is asymptotically stable.

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