Geodesic
Non-monotone period functions for impact oscillators
Electronic Journal of Differential Equations, Tome 2008 (2008).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: The existence of non-monotone period functions for differential equations of the form $$ \ddot{x}+f(x)+\gamma H(x)g(x)=0 $$ is proved for large $$ \ddot{x}+\sin x +\gamma H(x) x^{3/2}=0, $$ which models the conservative dimensionless impact pendulum utilizing Hertzian contact during impact with a barrier at the downward vertical position.
Classification : 34C15, 34C25, 37N15
Keywords: period function, impact oscillator 
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     author = {Chicone, Carmen and Felts, Kenny},
     title = {Non-monotone period functions for impact oscillators},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {2008},
     year = {2008},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2008__2008__a6/}
}
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Chicone, Carmen; Felts, Kenny. Non-monotone period functions for impact oscillators. Electronic Journal of Differential Equations, Tome 2008 (2008). http://geodesic.mathdoc.fr/item/EJDE_2008__2008__a6/