Wang, ShaoqingYang, Jiazhong2021-10-042021-10-042020-07-27Wang, S., & Yang, J. (2020). Period functions and critical periods of piecewise linear system. <i>Electronic Journal of Differential Equations, 2020</i>(79), pp. 1-12.1072-6691https://hdl.handle.net/10877/14586In this article, we study a rich and complex phenomena of planar piecewise linear systems having two domains of which the separation curves are not straight. We show that for positive integers n and m and non-negative integers n₁, n₂, ..., nₘ, there exist two types of piecewise linear systems: one has a period annulus possessing exactly n critical periods; the other has m period annuli possessing exactly n₁, n₂, ..., nₘ critical periods. Moreover, an algebraic curve can be chosen as the separation line in system of the first type.Text12 pages1 file (.pdf)enAttribution 4.0 InternationalPiecewise linear systemPeriod annulusPeriod functionCritical periodArticle