Organization profile

Organisation profile

The Applied Nonlinear Mathematics research group is world leading in Nonlinear Dynamics and Complexity. The group has a long and successful history of solving problems in applications, developing new mathematical approaches and models, as well as numerical algorithms.

Research in the group covers a wide range of theoretical and computational topics (piecewise smooth systems, numerics for dynamical systems, nonlinear waves, global bifurcation theory, delay differential equations, control theory and networks) together with many end-user applications.

The interdisciplinary research environment was recognised in 2002 by the award of the first EPSRC Multidisciplinary Critical Mass grant (worth over £1M) and in 2007 with the follow-up funding of £1.6M for Applied Nonlinear Mathematics: Making It Real. The group has held over 25 interdisciplinary research meetings in the last 10 years and averages 30-40 research visitors each year for periods ranging from one week to nine months.

The ANM group also plays a major role in the Bristol Centre for Complexity Sciences (BCCS), an integrated multidisciplinary Doctoral Training Centre in Complexity Sciences built around a theory hub with strong interplay with a range of interconnected applications areas.

The idea that real-world challenges and mathematical theory can form a virtuous circle is a fundamental part of the philosophy of the group. A steady stream of problems from industry and society at large drives forward new mathematical theories and approaches. In turn, these new mathematics are used to generate novel solutions to the original problems. By operating in this way, the research of the ANM group remains highly relevant to the wider world.

At the heart of the ANM group is the virtuous circle of real-world challenges driving new mathematics which, in turn, drives new solutions to the challenges.

Fingerprint Dive into the research topics where Applied Nonlinear Mathematics is active. These topic labels come from the works of this organisation's members. Together they form a unique fingerprint.

  • Network Recent external collaboration on country level. Dive into details by clicking on the dots.

    Research Output

    A dynamical systems model of unorganized segregation in two neighborhoods

    Haw, D. J. & Hogan, S. J., 17 Jan 2020, In : Journal of Mathematical Sociology. 28 p.

    Research output: Contribution to journalArticle (Academic Journal)

  • 1 Downloads (Pure)

    An information theoretic approach to insulin sensing by human kidney podocytes

    Pope, R. JP., Garner, K. L., Voliotis, M., Lay, A. C., Betin, V. MS., Tsaneva-Atanasova, K., Welsh, G. I., Coward, R. JM. & McArdle, C. A., 1 Aug 2020, In : Molecular and Cellular Endocrinology. 110976.

    Research output: Contribution to journalArticle (Academic Journal)

  • A Pragmatic Approach to Clear Channel Assessment Threshold Adaptation and Transmission Power Control For Performance Gain in CSMA/CA WLANs

    Jones, W., Wilson, R. E., Doufexi, A. & Sooryiabandara, M., 1 Feb 2020, In : IEEE Transactions on Mobile Computing. 19, 2, p. 262-275 14 p.

    Research output: Contribution to journalArticle (Academic Journal)

    Open Access
  • 261 Downloads (Pure)


    T-B PHASE: Prosperity Partnership with Thales

    Wilson, R. E., Johnson, A., Bullock, S., Lawry, J., Richards, A. G., Noyes, J. M., Hauert, S., Bode, N. W. F., Wilson, R. E., Pitonakova, L., Kent, T., Crosscombe, M., Zanatto, D., Alkan, B., Drury, K. L., Hogg, E., Bonnell, W. D., Bennett, C. D., Clarke, C. E. M., Wisetjindawat, W., Potts, M. W., Ellinas, C., Sartor, P. N., Harvey, D., Rayneau-Kirkhope, B., Galvin, K., Lam, J., Barden, E. & Chattington, M.


    Project: Research

    Student theses

    Ageing and the Drosophila circadian clock

    Author: Curran, J., 23 Jan 2019

    Supervisor: Hodge, J. (Supervisor) & Tsaneva-Atanasova, K. (Supervisor)

    Student thesis: Doctoral ThesisDoctor of Philosophy (PhD)


    A systems biology approach using electrophysiology and modelling to determine the membrane clock

    Author: Smith, P., 23 Jan 2019

    Supervisor: Hodge, J. (Supervisor) & Tsaneva-Atanasova, K. (Supervisor)

    Student thesis: Doctoral ThesisDoctor of Philosophy (PhD)


    Conical Diffraction: Complexifying Hamilton's Diabolical Legacy

    Author: Jeffrey, M. R., 3 Oct 2007

    Supervisor: Berry, M. (Supervisor)

    Student thesis: Doctoral ThesisDoctor of Philosophy (PhD)



    Cavaliere of the Order of Merit of the Italian Republic for scientific merits

    Mario Di Bernardo (Recipient), 28 Feb 2007

    Prize: National/international honour

  • Honorary Doctorate in Mechanical Engineering

    Champneys, Alan R (Recipient), May 2016

    Prize: National/international honour

  • Activities

    Journal of Complex Networks (Journal)

    Thilo Gross (Editor)

    1 Jan 2018 → …

    Activity: Publication peer-review and editorial work typesEditorial activity

    PLoS ONE (Journal)

    Thilo Gross (Editor)

    1 Aug 2018 → …

    Activity: Publication peer-review and editorial work typesEditorial activity

    Peter Yodzis Colloquium in Fundamental Ecology

    Thilo Gross (Participant)

    19 Jul 2018

    Activity: Participating in or organising an event typesInvited talk