Quasi-periodic solutions of forced isochronous oscillators at resonance |
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Authors: | Bin Liu |
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Institution: | LMAM, School of Mathematical Sciences, Peking University, Beijing 100871, PR China |
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Abstract: | We deal with the existence of quasi-periodic solutions of forced isochronous oscillators with a repulsive singularity, the nonlinearity is a bounded perturbation. Using a variant of Moser's twist theorem of invariant curves, due to Ortega R. Ortega, Boundedness in a piecewise linear oscillator and a variant of the small twist theorem, Proc. London Math. Soc. 79 (1999) 381-413], we show that there are many quasi-periodic solutions and the boundedness of all solutions. |
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Keywords: | Isochronous oscillators Repulsive singularity Invariant curves Quasi-periodic solutions Lazer-Landesman conditions Boundedness of solutions |
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