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Less Is More II: An Optimistic View of Piecewise Smooth Bifurcation Theory

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Extended Abstracts Spring 2016

Part of the book series: Trends in Mathematics ((RPCRMB,volume 8))

Abstract

The analysis of piecewise smooth bifurcations reveals an alarming proliferation of cases as the dimension of phase space increases. Rather than attempt the derivation of exhaustive lists of possibilities, we describe ways of giving less detailed, but possibly more useful, results.

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Acknowledgements

I am grateful to Mike Jeffrey, Rachel Kuske and David Simpson for conversations that helped crystallize these ideas, and to the Simons Foundation for support at the CRM, Barcelona.

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Authors and Affiliations

  1. School of Mathematics, University of Manchester, Oxford Road, Manchester, M13 9PL, UK

    Paul Glendinning

Authors
  1. Paul Glendinning
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Correspondence to Paul Glendinning .

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Editors and Affiliations

  1. DEIB, Politecnico di Milano , Milano, Italy

    Alessandro Colombo

  2. Department of Engineering Mathematics, University of Bristol , BRISTOL, Avon, United Kingdom

    Mike Jeffrey

  3. Departament de Matemàtiques, Universitat Politècnica de Catalunya , Barcelona, Spain

    J. Tomàs Lázaro

  4. Departament de Matemàtiques, Universitat Politècnica de Catalunya, Barcelona, Spain

    Josep M. Olm

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Glendinning, P. (2017). Less Is More II: An Optimistic View of Piecewise Smooth Bifurcation Theory. In: Colombo, A., Jeffrey, M., Lázaro, J., Olm, J. (eds) Extended Abstracts Spring 2016. Trends in Mathematics(), vol 8. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-55642-0_14

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