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Homoclinic bifurcations

Abstract:

Previously obtained results from the study of homoclinic bifurcations in ordinary differential equations are presented. The standard technique of analysis involves the construction of a Poincaré map on a surface near to the homoclinic point. This map is the composition of an inside map, with behaviour linearized about the homoclinic point, together with an outside map, with behaviour linearized about the homoclinic orbit. The Poincaré map is then reduced to a one-dimensional map, involving...

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Institution:
University of Oxford
Research group:
OCIAM
Oxford college:
Jesus College
Department:
Mathematical,Physical & Life Sciences Division - Mathematical Institute
Role:
Author

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Role:
Supervisor
Publication date:
1994
Type of award:
DPhil
Level of award:
Doctoral
URN:
uuid:b21e4a5c-7e10-4abc-8727-07b894ad6f15
Local pid:
ora:6045
Language:
English
Subjects:

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