Period functions and critical periods of piecewise linear system
| dc.contributor.author | Wang, Shaoqing | |
| dc.contributor.author | Yang, Jiazhong | |
| dc.date.accessioned | 2021-10-04T14:01:02Z | |
| dc.date.available | 2021-10-04T14:01:02Z | |
| dc.date.issued | 2020-07-27 | |
| dc.description.abstract | In 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. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 12 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Wang, 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. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/14586 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2020, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Piecewise linear system | |
| dc.subject | Period annulus | |
| dc.subject | Period function | |
| dc.subject | Critical period | |
| dc.title | Period functions and critical periods of piecewise linear system | |
| dc.type | Article |