Homoclinic bifurcations in self-excited oscillators

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作者：
Faculty of Sciences Ain Chok, Casablanca, Morocco [1 ]
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来源：
Mech Res Commun | / 4卷 / 381-386期
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Approximation theory - Bifurcation (mathematics) - Calculations - Degrees of freedom (mechanics) - Numerical methods - Oscillations - Three dimensional;
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摘要：
This paper suggest an analytical criterion to predict saddle-loop bifurcations in single degree of freedom systems. The idea consists of computing explicitly an approximation of the self-excited periodic solution as well as its period. As a criterion of saddle-loop connection, the condition of vanishing of the frequency of this periodic solution is considered. This criterion can be used to predict the homoclinic connexion in three-dimensional systems, when the period of the periodic solution is performed.
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