On homoclinic orbits to center manifolds in Hamiltonian systems

The objects of study in this thesis are Hamiltonian systems of ordinary differential equations possessing homoclinic orbits. A homoclinic orbit is a solution of the system which converges to the same invariant set as time approaches both positive and negative infinity. In our case, the invariant set...

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Bibliographic Details
Main Author: Giles, William
Other Authors: Lamb, Jeroen; Turaev, Dmitry
Published: Imperial College London 2014
Subjects:
510
Online Access:http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.656781