Local and global phenomena in piecewise-defined systems: from big bang bifurcations to splitting of heteroclinic manifolds
In the first part, we formally study the phenomenon of the so-called big bang bifurcations, both for one and two-dimensional piecewise-smooth maps with a single switching boundary. These are a special type of organizing centers consisting on points in parameter space with co-dimension higher than on...
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| Format: | Doctoral Thesis |
| Language: | English |
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Universitat Politècnica de Catalunya
2012
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| Online Access: | http://hdl.handle.net/10803/131282 |