Closed stable orbits in a strongly coupled resonant Wilberforce pendulum

Autor:	Avendaño-Camacho, Misael, Torres-Manotas, Alejandra, Vallejo, José A
Rok vydání:	2020
Předmět:	Mathematical Physics Mathematics - Dynamical Systems Nonlinear Sciences - Chaotic Dynamics 53D20 70G45 70H12
Zdroj:	Journal of Vibration and Control 2022; 28 (7-8): 892-901
Druh dokumentu:	Working Paper
DOI:	10.1177/1077546320986
Popis:	We prove the existence of closed stable orbits in a strongly coupled Wilberforce pendulum, for the case of a $1:2$ resonance, by using techniques of geometric singular symplectic reduction combined with the more classical averaging method of Moser. Comment: arXiv admin note: text overlap with arXiv:1703.08929
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2009.13956 Zobrazit plný text záznamu View this record from Arxiv