Existence and stability of periodic solutions for a forced pendulum with time-dependent damping

Abstract In this paper, we study the existence, multiplicity and stability of periodic solutions for a forced pendulum with time-dependent damping. The proof is based on the third order approximation method and a suitable version of the Poincaré–Birkhoff fixed point theorem.

Sparad:
Bibliografiska uppgifter
Huvudupphovsmän: Fang-Fang Liao, Zaitao Liang
Materialtyp: Artigo
Språk:Inglês
Publicerad: SpringerOpen 2018-07-01
Serie:Boundary Value Problems
Ämnen:
Damped pendulum
Third order approximation method
Poincaré–Birkhoff fixed point theorem
Länkar:http://link.springer.com/article/10.1186/s13661-018-1028-5
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