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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Format: | Doctoral Thesis |
Language: | English |
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Universitat Politècnica de Catalunya
2015
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Online Access: | http://hdl.handle.net/10803/311629 |