Existence of subharmonic solutions to a hysteresis system with sinusoidal external influence
Date
2017-05-25
Authors
Kamachkin, Alexander
Potapov, Dmitriy
Yevstafyeva, Victoria
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
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.
Description
Keywords
hysteresis nonlinearity, sinusoidal external influence, subharmonic solutions, switching points
Citation
Kamachkin, A. M., Potapov, D. K., & Yevstafyeva, V. V. (2017). Existence of subharmonic solutions to a hysteresis system with sinusoidal external influence. <i>Electronic Journal of Differential Equations, 2017</i>(140), pp. 1-10.
Rights
Attribution 4.0 International