Journal Publications / Preprints

42. P. Tee, I. Wakeman, G. Parisis, J.H.P. Dawes and I.Z. Kiss,
Constraints and entropy in a model of network evolution.
Euro. Phys. J. B.
DOI: 10.1140/epjb/e2017801855 (2017)
Available on arXiv (shortly).
Preprint (shortly): PDF (n.nM)

41. K. Minors and J.H.P. Dawes,
Invasions slow down or collapse in the presence of reactive boundaries.
Bull. Math. Biol. DOI: 10.1007/s115380170326x (2017)
Open Access, downloadable here or
here (PDF, 0.8M)

40. T. Putelat, J.H.P. Dawes and A.R. Champneys,
A phaseplane analysis of localized frictional waves.
Proc. R. Soc. A 473:20160606 (2017)

39. J.H.P. Dawes and J.S. Greaves,
Diagnostics of circumstellar grains in geometric models  I.
Structure and composition.
Mon. Not. Roy. Astron. Soc. 467 218225 (2017)

38. Q. Yang, T. Rogers and J.H.P. Dawes,
Demographic noise slows down cycles of dominance
To appear in J. Theor. Biol. (2017)
Available on arXiv:1708.00632.
Preprint: PDF (0.7M)

37. J.H.P. Dawes,
After 1952: The later development of Alan Turing's ideas on
the mathematics of pattern formation.
Historia Mathematica 43 4964 (2016)
Preprint: PDF (1.4M)
Supplementary material: PDF (0.5M)

36. J.H.P. Dawes and J.L.M. Williams,
Localised pattern formation in a model for dryland vegetation.
J. Math. Biol. 73, 6390 (2016)
Preprint: PDF (1.7M)

35. T. Putelat and J.H.P. Dawes,
Steady and transient sliding under rateandstate friction.
J. Mech. Phys. Solids 78, 7093 (2015)
Preprint: PDF (1.7M)

34. D. Morgan and J.H.P. Dawes,
The SwiftHohenberg equation with a nonlocal nonlinearity.
Physica D 270, 6080 (2014)
Preprint: PDF (1.1M).
Also available at arXiv:1312.6697.

33. J.H.P. Dawes and H. Susanto,
Variational approximation and the use of collective coordinates.
Phys. Rev. E 87, 063202 (2013)
Preprint: PDF (228K).
Also available at arXiv:1305.4379.

32. T.L. Tsai and J.H.P. Dawes,
Dynamics near a periodicallyperturbed robust heteroclinic cycle.
Physica D 262, 1434 (2013)
Preprint: PDF (3.5M)

31. J.H.P. Dawes and M.O. Souza,
A derivation of Holling's type I, II and III functional responses in predatorprey systems.
J. Theor. Biol. 327, 1122 (2013)
Preprint: PDF (340K)

30. J.H.P. Dawes and C.J. Penington,
Scaling laws for localised states in a nonlocal amplitude equation.
Geophys. Astrophys. Fluid Dyn. 106, 372391 (2012)
(Special issue: Convection, magnetoconvection and dynamo theory.)
Preprint: PDF (3.7M)

29. T. Putelat, J.R. Willis and J.H.P. Dawes,
Wavemodulated orbits in rateandstate friction.
International Journal of Nonlinear Mechanics 47, 258267 (2012)
Preprint: PDF (1.8M)

28. J. Burke and J.H.P. Dawes,
Localized states in an extended SwiftHohenberg equation.
SIAM J. App. Dyn. Syst. 11, 261284 (2012)
Article: PDF (584K). Also available at arXiv:1108.1984v1.

27. J.H.P. Dawes and W.J. Giles,
Turbulent transition in a truncated 1D model for shear flow.
Proc. Roy. Soc. A. 467, 3066–3087 (2011)
Preprint: PDF (2.4M)

26. T. Putelat, J.H.P. Dawes and J.R. Willis,
On the microphysical foundations of rateandstate friction.
J. Mech. Phys. Solids 59, 10621075 (2011)
Preprint: PDF (205K).
Article: here.

25. J.H.P. Dawes,
The emergence of a coherent structure for coherent structures: localized states
in nonlinear systems.
Phil. Trans. R. Soc. A 368, 35193534 (2010)
(Special issue: 'Visions of the future for the Royal Society's 350th
anniversary year')
Preprint: PDF (563K)

24. C. Taylor and J.H.P. Dawes,
Snaking and isolas of localised states in bistable discrete lattices.
Phys. Lett. A 375, 1422 (2010)
Preprint: PDF (1.8M)

23. C.M. Postlethwaite and J.H.P. Dawes,
Resonance bifurcations from robust homoclinic cycles.
Nonlinearity 23, 621642 (2010)
Preprint: PDF (500K)

22. J.H.P. Dawes and S. Lilley,
Localized states in a model of pattern formation in a vertically vibrated layer.
SIAM J. App. Dyn. Syst. 9, 238260 (2010)
Preprint: PDF (1.3M)
 21. T. Putelat, J.H.P. Dawes and J.R. Willis,
Regimes of frictional sliding of a springblock system.
J. Mech. Phys. Solids 58, 2753 (2010)
Preprint: PDF (2.1M)
 20. J.H.P. Dawes, Modulated and localised states in a finite
domain.
SIAM J. Appl. Dyn. Syst. 8, 909930 (2009)
Preprint: PDF (603K)
 19. T. Putelat, J.R. Willis and J.H.P. Dawes,
On the seismic cycle seen as a relaxation oscillation.
Phil. Mag. 88 32193243 (2008)
(Special issue: `Instabilities across the scales').
Preprint: PDF (1.5M)
 18. Stephen W. Morris, Jonathan H. P. Dawes, Neil M. Ribe, and John R. Lister,
Meandering instability of a viscous thread. Phys. Rev.
E. 77 066218 (2008)
Preprint: PDF (1.7M)
 17. J.H.P. Dawes and M.R.E. Proctor, Secondary Turingtype
instabilities due to strong spatial resonance.
Proc. Roy. Soc. Lond. A. 464, 923942 (2008)
DOI: 10.1098/rspa.2007.0221. Preprint version: PDF (4.4M)
 16. J.H.P. Dawes, Localised pattern formation with a largescale mode:
slanted snaking. SIAM J. Appl. Dyn. Syst. 7 (1), 186206 (2008)
 doi: 10.1137/06067794X. Preprint: PDF (383K)
 15. J.H.P. Dawes, Localised convection cells in the presence of a
vertical magnetic field. J. Fluid Mech. 570, 385406 (2007)
Preprint: Gzipped postscript (940K) or PDF (1.1M)
 14. T. Putelat, J.H.P. Dawes and J.R. Willis,
Sliding modes of two interacting frictional interfaces.
J. Mech. Phys. Solids 55, 20732105 (2007)
DOI: 10.1016/j.jmps.2007.03.004.
Preprint: PDF (1.2M)
 13. J.H.P. Dawes and T.L. Tsai,
Frequency locking and complex dynamics near a periodically forced
robust heteroclinic cycle. Phys. Rev. E 74 055201(R) (2006)
DOI: 10.1103/PhysRevE.74.055201. Preprint: PDF (560K)
 12. C.M. Postlethwaite and J.H.P. Dawes, A codimensiontwo
resonant bifurcation from a heteroclinic cycle with complex eigenvalues. Dynamical Systems:
an international journal 21, 313336 (2006)
DOI: 10.1080/14689360600552928. Preprint: PDF
 11. C.M. Postlethwaite and J.H.P. Dawes, Regular and irregular
cycling near a heteroclinic network. Nonlinearity 18, 14771509 (2005)
Preprint: Gzipped postscript (290K) or
PDF (348K)
 10. J.H.P. Dawes, C.M. Postlethwaite and M.R.E. Proctor, Instabilities
induced by a weak breaking of a strong spatial resonance. Physica
D 191, 130 (2004)
Preprint: Gzipped postscript (507K) or
PDF (1.2M)
 9. J.H.P. Dawes, P.C. Matthews and A.M. Rucklidge, Reducible
actions of D_{4} x T^{2}: superlattice patterns
and hidden symmetries. Nonlinearity 16, 615645 (2003)
Preprint: PDF
 8. J.H.P. Dawes and J.R. Gog, The onset of oscillatory dynamics in
models of multiple disease strains. J. Math. Biol. 45, 471510
(2002)
Preprint: PDF
 7. J.H.P. Dawes, The normal form for a Hopf/steadystate mode interaction
on a hexagonal lattice. Dynamics of Continuous, Discrete and Impulsive
Systems 8a (4), 551558 (2001)  part of
a Special Issue on the Computation of Normal Forms and Applications.
Preprint (with an old title):
PDF.
 6. J.H.P. Dawes, Hopf bifurcation on a square superlattice.
Nonlinearity14, 491511 (2001).
Preprint:
PDF.
 5. J.H.P. Dawes, Rapidly rotating thermal convection at low Prandtl
number. J. Fluid Mech.428, 6180 (2001).
Preprint:
PDF.
 4. J.H.P. Dawes, A Hopf/steadystate mode interaction in rotating convection:
bursts and heteroclinic cycles in a square periodic domain. Physica D 149, 197209 (2001).
Preprint (with an old title):
PDF.
 3. J.H.P. Dawes, Pattern selection in oscillatory rotating convection.
Physica D 147, 336351 (2000).
Preprint:
PDF.
 2. J.H.P. Dawes, The 1:sqrt(2) Hopf/steadystate mode interaction in
threedimensional magnetoconvection. Physica D
139, 109136 (2000).
Preprint:
PDF.
 1. J.H.P. Dawes, Stable quasiperiodic solutions in the Hopf bifurcation
with D_{4 }x T^{2 }symmetry. Physics Letters A 262, 158165 (1999).
Preprint:
PDF.
Conference Proceedings (refereed)
T.L. Tsai and J.H.P. Dawes,
Dynamics near a periodicallyforced robust heteroclinic cycle.
Proceedings of Equadiff 07, TU Vienna. Preprint.
T.L. Tsai and J.H.P. Dawes,
Dynamics near a periodically forced robust heteroclinic cycle.
Journal of Physics: Conference Series
286, 012057 (2011)
Preprint: PDF (2.2M)
T. Putelat, J.R. Willis and J.H.P. Dawes,
Reverberation d'onde et frottement.
Proceedings of the
XX Congres Francais de Mecanique (CFM2011),
Besancon, France, 28 August  2 September 2011.
Other Publications
Comments:
J.H.P. Dawes, Comment on `The effect of rotation on the RayleighBenard
stability threshold' by A. Prosperetti Phys. Fluids 24:114101 (2012).
Phys. Fluids 25, 059101 (2013)
Preprint: PDF (153K)
Book Reviews:
J.H.P. Dawes, Review of Pattern Formation: An Introduction to Methods by
Rebecca Hoyle. CUP, 2006.
J. Fluid Mech. 571, 506507 (2007)
PDF (41K)
J.H.P. Dawes, Review of Patterns and Interfaces in Dissipative Dynamics
by L. M. Pismen. Springer, 2006.
J. Fluid Mech. 584, 473474 (2007)
PDF (49K)
Theses
T.L. Tsai.
PhD Thesis: Robust Heteroclinic Cycles and Frequency Locking (17.8M)
University of Cambridge, April 2009.
Later versions of papers submitted or in preparation may appear here
from time to time...