The role of global invariant manifolds of vector fields at homoclinic bifurcations

We consider certain kinds of homoclinic bifurcations in three-dimensional vector fields. These global bifurcations are characterized by the existence of a homo clinic orbit that converges to a saddle equilibrium in both forward and backward time. If the equilibrium has a complex pair of (stable) eig...

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Bibliographic Details
Main Author: Aguirre, Pablo
Published: University of Bristol 2012
Subjects:
Online Access:http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.559483