Alexander Kamachkin
nab. Universitetskaya 7/9, St. Petersburg, 199034 Russia
Saint Petersburg State University
Publications:
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Kamachkin A. M., Potapov D. K., Yevstafyeva V. V.
Abstract
We study an $n$-dimensional system of ordinary differential equations (ODEs) with a relay
nonsymmetric hysteresis. Conditions under which the system of ODEs governs a dynamical
system are specified. We obtain sufficient conditions for motions of the system to be recurrent
or periodic. Also, we consider various configurations for the closed phase trajectories (orbits) of
the motions as well as properties of fixed (switching) points on these trajectories. An example
for the system of dimension 3 is given to support the obtained results.
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