Projects per year
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
- Engineering Mathematics Research Group
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Collaborations and top research areas from the last five years
Projects
- 13 Finished
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Machine learning for intensive care decision support
Santos-Rodriguez, R., McWilliams, C. J., Gilchrist, I. D. & Champneys, A. R.
1/10/18 → 31/12/19
Project: Other
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Tipping points; bifurcations in realistic atmospheric models and data workshop
1/01/11 → 1/01/11
Project: Research
Research output
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Analysis of point-contact models of the bounce of a hard spinning ball on a compliant frictional surface
Biber, S. W., Champneys, A. R. & Szalai, R., 2 Aug 2023, (E-pub ahead of print) In: IMA Journal of Applied Mathematics. 88, 3, p. 498-523 26 p., hxad020.Research output: Contribution to journal › Article (Academic Journal) › peer-review
Open Access -
A new phase model of the spatiotemporal relationships between three circadian oscillators in the brainstem
Ahern, J., Chrobok, L. A., Champneys, A. R. & Piggins, H. D., 4 Apr 2023, In: Scientific Reports. 13, 1, 13 p., 5480.Research output: Contribution to journal › Article (Academic Journal) › peer-review
Open AccessFile1 Citation (Scopus)15 Downloads (Pure) -
General conditions for Turing and wave instabilities in reaction -diffusion systems
Villar-Sepúlveda, E. & Champneys, A. R., 28 Jan 2023, In: Journal of Mathematical Biology. 86, 3, 35 p., 39.Research output: Contribution to journal › Article (Academic Journal) › peer-review
Open Access2 Citations (Scopus)
Datasets
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Dataset Experimental Characterisation in asynchronous partially contacting motion
Sanchez Crespo, R. (Creator), D. Shaw, A. (Creator), I. Friswell, M. (Creator) & Champneys, A. R. (Creator), Zenodo, 25 Apr 2020
DOI: 10.5281/zenodo.3766283, https://zenodo.org/record/3766283
Dataset
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Group Mosquito Auditory Interaction
Aldersley, A. (Creator), Bode, N. W. F. (Creator), Robert, D. (Creator), Homer, M. E. (Creator) & Champneys, A. R. (Creator), University of Bristol, 13 Oct 2017
DOI: 10.5523/bris.18y1g8gv1ax9o29k55u1b34poh, http://data.bris.ac.uk/data/dataset/18y1g8gv1ax9o29k55u1b34poh
Dataset
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Lone & Pair Mosquito Auditory Interaction
Homer, M. E. (Creator), Champneys, A. R. (Creator), Robert, D. (Creator) & Aldersley, A. (Creator), University of Bristol, 18 Nov 2015
DOI: 10.5523/bris.1a44saul2ijj31u0raipvlims6, http://data.bris.ac.uk/data/dataset/1a44saul2ijj31u0raipvlims6
Dataset
Prizes
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Honorary Doctorate in Mechanical Engineering
Champneys, Alan R (Recipient), May 2016
Prize: National/international honour
Activities
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ANZIAM (Australia New Zealand Industrial Applied Mathematics) anual meeting
Alan R Champneys (Keynote/plenary speaker)
1 Feb 2010Activity: Participating in or organising an event types › Participation in conference
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SIAM (External organisation)
Alan R Champneys (Chair)
1 Jan 2010 → 12 Dec 2011Activity: Membership types › Advisory work for/on national or international committee or working group
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European Nonlinear Oscilations (ENOC) Euromech Conference
Alan R Champneys (Keynote/plenary speaker)
1 Jul 2008Activity: Participating in or organising an event types › Participation in conference