Less is More I: a pessimistic view of piecewise smooth bifurcation theory

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
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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