We give precise conditions under which the method of harmonic balance will correctly predict the existence of periodic solutions for a system with relay hysteresis. The equation modeling the system is assumed to be of the form L(m)[y](t) = f[y](t), t greater-than-or-equal-to 0, where L(m) is a constant coefficient linear differential operator of order m greater-than-or-equal-to 2 and f is a possibly discontinuous operator with hysteresis.
Macki, J., Nistri, P., Zecca, P. (1992). Periodic oscillations in systems with hysteresis. ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 22(2), 669-681 [10.1216/rmjm/1181072758].
Periodic oscillations in systems with hysteresis
NISTRI, PAOLO;
1992-01-01
Abstract
We give precise conditions under which the method of harmonic balance will correctly predict the existence of periodic solutions for a system with relay hysteresis. The equation modeling the system is assumed to be of the form L(m)[y](t) = f[y](t), t greater-than-or-equal-to 0, where L(m) is a constant coefficient linear differential operator of order m greater-than-or-equal-to 2 and f is a possibly discontinuous operator with hysteresis.
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https://hdl.handle.net/11365/29459
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