Symmetric periodic solutions of parabolic problems with hysteresis
Analysis of PDEs
2014-04-17 v1 Dynamical Systems
Abstract
We consider the heat equation in a multidimensional domain with nonlocal hysteresis feedback control in a boundary condition. Thermostat is our prototype model. We construct all periodic solutions with exactly two switching on the period and study their stability. Coexistence of several periodic solutions with different stability properties is proved to be possible. A mechanism of appearance and disappearance of periodic solutions is investigated.
Cite
@article{arxiv.1010.4064,
title = {Symmetric periodic solutions of parabolic problems with hysteresis},
author = {Pavel Gurevich and Sergey Tikhomirov},
journal= {arXiv preprint arXiv:1010.4064},
year = {2014}
}
Comments
30 pages