Periodic oscillations of the relativistic pendulum with friction
| dc.contributor.author | Liu, Qihuai | |
| dc.contributor.author | Huang, Lukai | |
| dc.contributor.author | Jiang, Guirong | |
| dc.date.accessioned | 2022-03-28T15:19:45Z | |
| dc.date.available | 2022-03-28T15:19:45Z | |
| dc.date.issued | 2017-02-06 | |
| dc.description.abstract | We consider the existence and multiplicity of periodic oscillations for the forced pendulum model with relativistic effects by using the Poincaré-Miranda theorem. Some detailed information about the bound for the period of forcing term is obtained. To support our analytical work, we also consider a forced pendulum oscillator with the special force γ<sub>0</sub> sin(ωt) including a sufficiently small parameter. The result shows us that for all ω ∈ (0, +∞), there exists a 2π/ω periodic solution under our settings. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 10 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Liu, Q., Huang, L., & Jiang, G. (2017). Periodic oscillations of the relativistic pendulum with friction. <i>Electronic Journal of Differential Equations, 2017</i>(40), pp. 1-10. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/15564 | |
| 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, 2017, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Relativistic pendulum | |
| dc.subject | Poincare-Miranda theorem | |
| dc.subject | Averaging | |
| dc.subject | Periodic solutions | |
| dc.title | Periodic oscillations of the relativistic pendulum with friction | |
| dc.type | Article |