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Heteroclinic Bifurcation

Heteroclinic Bifurcation

Paperback

Algebra

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ISBN10: 6131302812
ISBN13: 9786131302817
Publisher: Vdm Verlag Dr Mller Ag & Co Kg
Pages: 140
Weight: 0.47
Height: 0.33 Width: 9.02 Depth: 6.00
Language: English
High Quality Content by WIKIPEDIA articles! In mathematics, particularly dynamical systems, a heteroclinic bifurcation is a global bifurcation involving a heteroclinic cycle. Heteroclinic bifurcations come in two types, resonance bifurcations, and transverse bifurcations. Both types of bifurcation will result in the change of stability of the heteroclinic cycle. At a resonance bifurcation, the stability of the cycle changes when an algebraic condition on the eigenvalues of the equilibria in the cycle is satisfied. This is usually accompanied by the birth or death of a periodic orbit.

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