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11 p, 153.9 KB On the periodic solutions of a perturbed double pendulum / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Novaes, Douglas D. (Universidade Estadual de Campinas(Brazil). Departamento de Matemática) ; Teixeira, Marco Antonio (Universidade Estadual de Campinas(Brazil). Departamento de Matemática)
We provide sufficient conditions for the existence of periodic solutions of the planar perturbed double pendulum with small oscillations having equations of motion ¨θ1 = −2aθ1 + aθ2 + εF1(t, θ1, ˙θ1, θ2, ˙θ2), ¨θ2 = 2aθ1 − 2aθ2 + εF2(t, θ1, ˙θ1, θ2, ˙θ2), where a and ε are real parameters. [...]
2011 - 10.11606/issn.2316-9028.v5i2p317-330
São Paulo Journal of Mathematical Sciences, Vol. 5 Núm. 2 (2011) , p. 317-330  
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