The stability of a Pais–Uhlenbeck nonlinear oscillator with higher derivatives is examined. The stability of the linear theory is demonstrated and a nonlinearity preserving the stability of the system is found.
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 11, pp. 96–99, November, 2014.
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Kaparulin, D.S., Lyakhovich, S.L. On the Stability of a Nonlinear Oscillator with Higher Derivatives. Russ Phys J 57, 1561–1565 (2015). https://doi.org/10.1007/s11182-015-0419-7
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DOI: https://doi.org/10.1007/s11182-015-0419-7