Study of invariant manifolds in two different problems : the Hopf-zero singularity and neural synchrony

The main object of study of this thesis are invariant manifolds in the field of dynamical systems. We deal with two different and independent topics, namely, the study of exponentially small splitting of invariant manifolds in analytic unfoldings of the Hopf-zero singularity (in Part I) and the appl...

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Bibliographic Details
Main Author: Castejón i Compnay, Oriol
Other Authors: Guillamon i Grabolosa, Antoni
Format: Doctoral Thesis
Language:English
Published: Universitat Politècnica de Catalunya 2015
Subjects:
Online Access:http://hdl.handle.net/10803/311629