Periodic oscillations of the relativistic pendulum with friction
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Date
2017-02-06
Authors
Liu, Qihuai
Huang, Lukai
Jiang, Guirong
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
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.
Description
Keywords
Relativistic pendulum, Poincare-Miranda theorem, Averaging, Periodic solutions
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.
Rights
Attribution 4.0 International