Glendinning, Paul (2016) Less is More I: a pessimistic view of piecewise smooth bifurcation theory. [MIMS Preprint]
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Abstract
The analysis of piecewise smooth bifurcations reveals an alarming proliferation of cases as the dimension of phase space increases. This suggests that a different approach needs to be taken when trying to describe bifurcations. In particular, it may not be helpful to analyze particular bifurcations at the level of detail that is standard for smooth systems.
Item Type: | MIMS Preprint |
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Subjects: | MSC 2010, the AMS's Mathematics Subject Classification > 37 Dynamical systems and ergodic theory |
Depositing User: | Professor Paul Glendinning |
Date Deposited: | 18 Mar 2016 |
Last Modified: | 08 Nov 2017 18:18 |
URI: | https://eprints.maths.manchester.ac.uk/id/eprint/2453 |
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