Abstract
We consider a system of a harmonic and an unharmonic oscillator with a weak cubic coupling. We study the non-degenerate bifurcations of periodic orbits for the resonant tori of the unperturbed system for which the twist condition holds. We demonstrate that this system also exhibits for certain values of the small parameter non-twist bifurcations, where the rotation number of the Poincaré map attains a minimum value.
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Stagika, G., Ichtiaroglou, S. (2001). Twist and Non-Twist Bifurcations in a System of Coupled Oscillators. In: Dvorak, R., Henrard, J. (eds) New Developments in the Dynamics of Planetary Systems. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-2414-2_10
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DOI: https://doi.org/10.1007/978-94-017-2414-2_10
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-5702-0
Online ISBN: 978-94-017-2414-2
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