Research overview

For a list of current and past research topics see Research. Publications by topic:

Current maintainer and contributor to open-source software DDE-BIFTOOL.
Download from Sourceforge.

Current and former PhD Students

  • Paul D. Ritchie started 2013, graduated 2016: Noise- and rate-induced tipping
  • Courtney Quinn started 2015, graduated 2019: Delay effects and critical transitions in climate models, part of the EU Innovative Training Network CRITICS
  • Robert E. Carroll started 2018 (moved to UCL, London Centre for Nanotechnology, in 2020) Exploring instability in complex systems
  • Asim Alawfi started 2020, graduated 2025: Symmetry Breaking in a Delay Differential Equation Modelling Auditory Streaming
  • Ahlam Alhadbani started 2022: Bifurcations in dynamical systems with delay
  • Ali Erwy started 2025: Gaussian processes for continuation methods
  • co-supervised Zhi Zhang started 2017, graduated 2021, main supervisor Yang Liu
  • co-supervised Thoraya Alharti, started 2018, graduated 2023, main supervisor Peter Ashwin
  • co-supervised Gaby Wang, started 2019, graduated 2023, Time series analysis and modelling of the freezing of gait phenomenon, main supervisor Krasimira Tsaneva-Atanasova
  • co-supervising Huda Mahdi, started 2022, main supervisor Krasimira Tsaneva-Atanasova
  • co-supervising Eman Alnuwaysir, started 2023, main supervisor Krasimira Tsaneva-Atanasova

(2010-2021) Associate Editor on the Board of the SIAM Journal on Applied Dynamical Systems.

2022 Guest Editor for Theme Issue of Philosophical Transactions of the Royal Society Series A on Probing and dynamics of shock sensitive shells.

2012 Guest Editor for Theme Issue of Philosophical Transactions of the Royal Society Series A on Influence of Nonlinearity and Randomness in Climate Prediction, (Link to Preprint collection).

Other material: Conference Proceedings etc (talk).

Acknowledgment of public support
My research has been supported by the following grants of RCUK/UKRI and EU.

  • EPSRC grant EP/V04687X/1 Developing strategies to prevent collapse of the Amazon rainforest (2021-2022) with Researcher Co-investigator Bert Wuyts
  • EU Project TiPES, Tipping Points in the Earth System (European Union’s Horizon 2020 research and innovation programme under grant agreement number 820970)
  • EPSRC Fellowship EP/N023544/1 Exploring instability in complex systems - simulations in no-man's land (2017-2021)
  • EU Innovative Training Network CRITICS (European Union's Horizon 2020 research and innovation programme under Grant Agreement number 643073, 2015-2018)
  • EPSRC Grant EP/J010820/1 Control-based bifurcation analysis for experiments (2012-2014)

Contact

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Department of Mathematics and Statistics,
Room 333 Harrison Building,
University of Exeter,
Exeter EX4 4QF, U.K.

Tel. (off.): (+44) 1392 72 3973

orcid: 0000-0002-9558-1324