Twist and Non-Twist Bifurcations in a System of Coupled Oscillators |
| |
Authors: | Galina Stagika Simos Ichtiaroglou |
| |
Institution: | (1) Department of Mathematics, University of Thessaloniki, 54006 Thessaloniki, Greece |
| |
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. |
| |
Keywords: | coupled oscillations periodic orbits bifurcations |
本文献已被 SpringerLink 等数据库收录! |