1991 …2019

Research output per year

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Personal profile

Research interests

  • Applied dynamical Systems. Understanding complicated dynamics in physical systems governed byordinary, partial or lattice dierential equations in terms of bifurcation theory, especially global bifurcations (homoclinic and heteroclinic orbits). Bifurcation analysis of piecewise-smooth systems. Application to mechanical, civil, aero and eletrical engineering including rotating machines; valve dynamics; parametric resonance. Friction and impact modelling including the Painleve paradox.
  • Nonlinear waves and coherent structures. Localised pattern formation ('homoclinic snaking') in Swift-Hohenberg and other models of bi-stable media. Application to nonlinear elastic buckling of cylinders, rods and struts. Application to ecology and biology. Solitary waves in fuids, solids and nonlinear optics.
  • Mathematical biology. Modelling active hearing in the mammalian inner ear; the bio-mechanics of mosquito hearing and consequent swarming. Metabolomic modelling, especially within plant cells. Cellular pattern formation and polarity formation. Mathematical modelling of neuronal dynamics including the neural control of high blood pressure.
  • Mathematical modelling and industrial mathematics Smart energy; tidal stream energy devices, economics of energy technology and market transition, power grid stability. Rotordynamics with application to drillstrings. Ecosystem feedback models. The dynamics of industrial supply networks. Design advice for pressure-relief valve instability prevention. Biosensor design. Digital healthcare using routinely collected ward data. Mutiscale modelling of hydroponic systems. Friction and impact modelling in industrial processes and sports science. 


Structured keywords and research groupings

  • Cabot Institute Low Carbon Energy Research

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Research Output

Applying Director Theory to the Modelling of Fluid Flow in Straight and Curved Pipes

Webster, M., Gambaruto, A. & Champneys, A., 23 Apr 2019, (Accepted/In press) 6th International Conference on Computational and Mathematical Biomedical Engineering - CMBE2019. CMBE Proceedings, 4 p. (CMBE Proceedings).

Research output: Chapter in Book/Report/Conference proceedingConference Contribution (Conference Proceeding)

  • Dissipative solitons in forced cyclic and symmetric structures

    Fontanela, F., Grolet, A., Salles, L., Chabchoub, A., Champneys, A. R., Patsias, S. & Hoffmann, N., 15 Feb 2019, In : Mechanical Systems and Signal Processing. 117, p. 280-292 13 p.

    Research output: Contribution to journalArticle (Academic Journal)

    Open Access
  • 123 Downloads (Pure)

    Happy Catastrophe: Recent Progress in Analysis and Exploitation of Elastic Instability

    Champneys, A., Dodwell, T., Groh, R., Hunt, G., Neville, R., Pirrera, A., Sakhaei, A., Schenk, M. & Wadee, A., 30 Jul 2019, In : Frontiers in Applied Mathematics and Statistics. 5, 34, 30 p.

    Research output: Contribution to journalArticle (Academic Journal)

    Open Access
  • 3 Citations (Scopus)
    142 Downloads (Pure)


    Honorary Doctorate in Mechanical Engineering

    Champneys, Alan R (Recipient), May 2016

    Prize: National/international honour

  • Activities

    • 3 Participation in conference
    • 2 Editorial activity
    • 1 Advisory work for/on national or international committee or working group
    • 1 Membership or peer review panel or committee

    SIAM (External organisation)

    Alan R Champneys (Chair)

    1 Jan 201012 Dec 2011

    Activity: Membership typesAdvisory work for/on national or international committee or working group

    ANZIAM (Australia New Zealand Industrial Applied Mathematics) anual meeting

    Alan R Champneys (Keynote/plenary speaker)

    1 Feb 2010

    Activity: Participating in or organising an event typesParticipation in conference

    European Nonlinear Oscilations (ENOC) Euromech Conference

    Alan R Champneys (Keynote/plenary speaker)

    1 Jul 2008

    Activity: Participating in or organising an event typesParticipation in conference

    Supervised Work

    Habitat loss and species interaction: An in silico investigation of the structure and dynamics of ecological communities

    Author: McWilliams, C., 27 Sep 2016

    Supervisor: Champneys, A. (Supervisor)

    Student thesis: Doctoral ThesisDoctor of Philosophy (PhD)