Pattern Localisation in Swift-Hohenberg via Slowly Varying Spatial Heterogeneity

Authors: Krause, Andrew L., Klika, Václav, Villar-Sepúveda, Edgardo, Champneys, Alan R., Gaffney, Eamonn A.

Subject Terms: Nonlinear Sciences - Pattern Formation and Solitons, 35B36, 35B32

Access URL: http://arxiv.org/abs/2409.13043

Designing reaction-cross-diffusion systems with Turing and wave instabilities

Authors: Villar-Sepúlveda, Edgardo, Champneys, Alan R., Krause, Andrew L.

Subject Terms: Nonlinear Sciences - Pattern Formation and Solitons, 35K57, 35B36

Access URL: http://arxiv.org/abs/2409.06860

Pattern formation of bulk-surface reaction-diffusion systems in a ball

Authors: Villar-Sepúlveda, Edgardo, Champneys, Alan R., Cusseddu, Davide, Madzvamuse, Anotida

Subject Terms: Nonlinear Sciences - Pattern Formation and Solitons

Access URL: http://arxiv.org/abs/2409.06826

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Measurements and linearized models for golf ball bounce

Authors: Biber, Stanisław W., Jones, Kristian M., Champneys, Alan R., Green, Riku, Szalai, Robert

Subject Terms: Physics - Classical Physics, Mathematics - Dynamical Systems

Access URL: http://arxiv.org/abs/2302.02758

Analysis of point-contact models of the bounce of a hard spinning ball on a compliant frictional surface

Authors: Biber, Stanisław W., Champneys, Alan R., Szalai, Robert

Subject Terms: Mathematics - Dynamical Systems

Access URL: http://arxiv.org/abs/2208.11685

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Getting the most out of maths: How to coordinate mathematical modelling research to support a pandemic, lessons learnt from three initiatives that were part of the COVID-19 response in the UK

Authors: Dangerfield, Ciara E., David Abrahams, I., Budd, Chris, Butchers, Matt, Cates, Michael E., Champneys, Alan R., Currie, Christine S.M., Enright, Jessica, Gog, Julia R., Goriely, Alain, Déirdre Hollingsworth, T., Hoyle, Rebecca B., INI Professional Services, Isham, Valerie, Jordan, Joanna, Kaouri, Maha H., Kavoussanakis, Kostas, Leeks, Jane, Maini, Philip K., Marr, Christie, Merritt, Clare, Mollison, Denis, Ray, Surajit, Thompson, Robin N., Wakefield, Alexandra, Wasley, Dawn

Source: In Journal of Theoretical Biology 21 January 2023 557

Tropical Tree Cover in a Heterogeneous Environment: a Reaction-diffusion Model

Authors: Wuyts, Bert, Champneys, Alan R., Verschueren, Nicolas, House, Jo I.

Subject Terms: Quantitative Biology - Populations and Evolution, Mathematics - Dynamical Systems

Access URL: http://arxiv.org/abs/1803.07535

Explanation of the onset of bouncing cycles in isotropic rotor dynamics; a grazing bifurcation analysis

Authors: Mora, Karin, Champneys, Alan R., Shaw, Alexander D., Friswell, Michael I.

Source: Proceedings: Mathematical, Physical and Engineering Sciences, 2020 May 01. 476(2237), 1-22.

Access URL: https://www.jstor.org/stable/26979913

Dissecting the snake: Transition from localized patterns to spike solutions

Authors: Verschueren, Nicolas, Champneys, Alan R.

Source: In Physica D: Nonlinear Phenomena May 2021 419

The Painleve paradox in contact mechanics

Authors: Champneys, Alan R, Varkonyi, Peter L

Subject Terms: Physics - Classical Physics, Computer Science - Robotics, Mathematics - Dynamical Systems

Access URL: http://arxiv.org/abs/1601.03545

Nonlinear dynamics of the mammalian inner ear

Authors: Szalai, Robert, Champneys, Alan R., Homer, Martin

Subject Terms: Physics - Biological Physics, Mathematics - Dynamical Systems, Quantitative Biology - Tissues and Organs

Access URL: http://arxiv.org/abs/1505.04667

Bistability, wave pinning and localisation in natural reaction–diffusion systems

Authors: Champneys, Alan R., Al Saadi, Fahad, Breña–Medina, Victor F., Grieneisen, Verônica A., Marée, Athanasius F.M., Verschueren, Nicolas, Wuyts, Bert

Source: In Physica D: Nonlinear Phenomena February 2021 416

Experimental characterisation of asynchronous partially contacting motion in a multiple-degree-of-freedom rotor system

Authors: Crespo, Rafael Sánchez, Shaw, Alexander D., Friswell, Michael I., Champneys, Alan R.

Source: In Mechanical Systems and Signal Processing November-December 2020 145

Analysis of point-contact models of the bounce of a hard spinning ball on a compliant frictional surface.

Authors: Biber, Stanisław W¹ (AUTHOR) s.biber@bristol.ac.uk, Champneys, Alan R¹ (AUTHOR), Szalai, Robert¹ (AUTHOR)

Source: IMA Journal of Applied Mathematics. Jun2023, Vol. 88 Issue 3, p498-523. 26p.

Subject Terms: *COEFFICIENT of restitution, *COULOMB friction, *GOLF balls, *IMPACT (Mechanics), *SYSTEMS theory, *DYNAMICAL systems

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