Electron. J. Differential Equations, Vol. 2017 (2017), No. 140, pp. 1-10.

Existence of subharmonic solutions to a hysteresis system with sinusoidal external influence

Alexander M. Kamachkin, Dmitriy K. Potapov, Victoria V. Yevstafyeva

Abstract:
We consider a system of ordinary differential equations with nonlinearity describing relay hysteresis under sinusoidal external influence. Theorems on sufficient conditions for the existence of subharmonic solutions to the system being investigated are established.

Submitted March 21, 2017. Published May 25, 2017.
Math Subject Classifications: 34C25, 34C55, 93C15, 93C73.
Key Words: Hysteresis nonlinearity; sinusoidal external influence; subharmonic solutions; switching points.

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Alexander M. Kamachkin
Saint Petersburg State University
7/9, Universitetskaya nab.
St. Petersburg, 199034, Russia
email: a.kamachkin@spbu.ru
Dmitriy K. Potapov
Saint Petersburg State University
7/9, Universitetskaya nab.
St. Petersburg, 199034, Russia
email: d.potapov@spbu.ru
Victoria V. Yevstafyeva
Saint Petersburg State University
7/9, Universitetskaya nab.
St. Petersburg, 199034, Russia
email: v.evstafieva@spbu.ru

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