TY - JOUR
AU - L. Recke
PY - 2018/01/25
Y2 - 2020/12/02
TI - Forced frequency locking for differential equations with distributional forcings
JF - Ukrainsâ€™kyi Matematychnyi Zhurnal
JA - Ukr. Mat. Zhurn.
VL - 70
IS - 1
SE - Research articles
DO -
UR - http://umj.imath.kiev.ua/index.php/umj/article/view/1545
AB - This paper deals with forced frequency locking, i.e., the behavior of periodic solutions to autonomous differential equationsunder the influence of small periodic forcings. We show that, although the forcings are allowed to be discontinuous (e.g.,step-function-like) or even distributional (e.g., Dirac-function-like), the forced frequency locking happens as in the caseof smooth forcings, and we derive formulas for the locking cones and for the asymptotic phases as in the case of smoothforcings.
ER -