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