Research output per year
Research output 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.
Research Groups and Themes
- Cabot Institute Low Carbon Energy Research
- Engineering Mathematics Research Group
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Collaborations and top research areas from the last five years
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Research output
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An Asymptotic Analysis of Spike Self-Replication and Spike Nucleation of Reaction-Diffusion Patterns on Growing 1-D Domains
Gai, C., Villar Sepulveda, E. E., Champneys, A. R. & Ward, M., 24 Feb 2025, In: Bulletin of Mathematical Biology. 87, 4, 59 p., 48.Research output: Contribution to journal › Article (Academic Journal) › peer-review
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From snaking to isolas: A one-active-site approximation in discrete optical cavities
Kusdiantara, R., Susanto, H. & Champneys, A. R., 1 Apr 2025, In: Wave Motion. 134, 103495.Research output: Contribution to journal › Article (Academic Journal) › peer-review
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Amplitude equations for wave bifurcations in reaction–diffusion systems
Villar-Sepúlveda, E. & Champneys, A., 1 Aug 2024, In: Nonlinearity. 37, 8, 42 p., 085012.Research output: Contribution to journal › Article (Academic Journal) › peer-review
Open Access3 Citations (Scopus)
Projects
- 13 Finished
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Machine learning for intensive care decision support
Santos-Rodriguez, R. (Principal Investigator), McWilliams, C. J. (Co-Investigator), Gilchrist, I. D. (Co-Investigator) & Champneys, A. R. (Co-Investigator)
1/10/18 → 31/12/19
Project: Other
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Tipping points; bifurcations in realistic atmospheric models and data workshop
Champneys, A. R. (Principal Investigator)
1/01/11 → 1/01/11
Project: Research
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) & R. Champneys, A. (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. (Creator), Robert, D. (Creator), Homer, M. (Creator) & Champneys, A. (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. (Creator), Champneys, A. (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, A. R. (Recipient), May 2016
Prize: National/international honour
Activities
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ANZIAM (Australia New Zealand Industrial Applied Mathematics) anual meeting
Champneys, A. R. (Keynote/plenary speaker)
1 Feb 2010Activity: Participating in or organising an event types › Participation in conference
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SIAM (External organisation)
Champneys, A. R. (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
Champneys, A. R. (Keynote/plenary speaker)
1 Jul 2008Activity: Participating in or organising an event types › Participation in conference