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Artikel
Existence of Periodic Orbits in Grazing Bifurcations of Impacting Mechanical Oscillators
| Författare: |
Nordmark, A. |
| Dokumenttyp: |
Artikel |
| Tillstånd: |
Publicerad |
| Tidskrift: |
Nonlinearity |
| Volym: |
14
1517-1542 |
| År: |
2001 |
AbstractGrazing bifurcations are local bifurcations that can occur in dynamical models of impacting mechanical systems. The motion resulting from a grazing bifurcation can be complex. In this paper we discuss the creation of periodic orbits associated with grazing bifurcations, and we give sufficient conditions for the existence of a such a family of orbits. We also give a numerical example for an impacting system with one degree of freedom.
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