Publications

19. Snaking without subcriticality: grain boundaries as non-topological defects, under review to be part of the special issue on “Homoclinic snaking at 21: In memory of Patrick Woods”, IMA Journal of Applied Mathematics, 2021.

18. Spatial localisation beyond steady states in the neighbourhood of the Takens-Bogdanov bifurcation, under review to be part of the special issue on “Homoclinic snaking at 21: In memory of Patrick Woods”, IMA Journal of Applied Mathematics, 2021. 

17. The density distribution in soft matter crystals and quasicrystals, under revision with Physical Review Letters, 2021. 

16. Exploring Critical Points of Energy Landscapes: From Low Dimensional  Examples to Phase Field Crystal PDEs, Communications in Nonlinear Science and Numerical Simulation, 96, 105679, 2021.

15. Invariant states in inclined layer convection. Part 2. Bifurcations and connections between branches of invariant states, Journal of Fluid Mechanics, 898, A23, 2020.

14. Spatiotemporal chaos and quasipatterns in coupled reaction-diffusion systems, Physica D, 409, 132475, 2020.

13. Instabilities and Spatiotemporal Dynamics of Active Elastic Filaments, Journal of the Royal Society Interface, 17, 20190794, 2020.

12. Which wavenumbers determine the thermodynamic stability of soft matter quasicrystals? Physical Review Letters, 123, 148004, 2019.

11. Deriving phase field crystal theory from dynamical density functional theory: consequences of the approximations, Physical Review E, 100, 022140, 2019.

10. Spatially Localized Quasicrystalline Structures, New Journal of Physics, 20, 122002, 2018.

9. Structural crossover in a model fluid exhibiting two length scales: repercussions for quasicrystal formation, Physical Review E, 98, 012606, 2018.

8. Three-dimensional Phase Field Quasicrystal, Physical Review Letters, 117, 075501, 2016.

7. Spatiotemporal patterns in inclined layer convection, Journal of Fluid Mechanics, 794, 719-745, 2016.

6. Distributed Time Lag Response Functions for the modelling of Combustion Dynamics, Combustion Theory & Modelling, 19(2), 223-237, 2015.

5. Thermoacoustic instabilities in a ducted premixed flame: reduced order models & control, Combustion Science & Technology, 185(6), 920-942, 2013.

4. Novel Perspectives on the Dynamics of Premixed Flames, Combustion & Flame, 160, 1215-1224, 2013.

3. Subcritical bifurcation and bistability in thermoacoustic systems, Journal of Fluid Mechanics, 715, 210-238, 2013.

2. Non-normality & internal flame dynamics in premixed flame-acoustic interaction, Journal of Fluid Mechanics, 679, 315-342, 2011.

1. Bifurcation analysis of thermoacoustic instability in a Rijke tube, International Journal of Spray & Combustion Dynamics, 2(4), 325-356, 2010.