Journal Publications / Preprints

1. J.H.P. Dawes, Stable quasiperiodic solutions in the Hopf bifurcation with D4 x T2 symmetry. Physics Letters A 262, 158-165 (1999).
Preprint: PDF.
2. J.H.P. Dawes, The 1:sqrt(2) Hopf/steady-state mode interaction in three-dimensional magnetoconvection. Physica  D  139, 109-136 (2000). Preprint: PDF.
3. J.H.P. Dawes, Pattern selection in oscillatory rotating convection. Physica D 147, 336-351 (2000).
Preprint: PDF.
4. J.H.P. Dawes, A Hopf/steady-state mode interaction in rotating convection: bursts and heteroclinic cycles in a square periodic domain. Physica D 149, 197-209 (2001).
Preprint (with an old title): PDF.
5. J.H.P. Dawes, Rapidly rotating thermal convection at low Prandtl number. J. Fluid Mech.428, 61-80 (2001).
Preprint: PDF.
6. J.H.P. Dawes, Hopf bifurcation on a square superlattice. Nonlinearity14, 491-511 (2001).
Preprint: PDF.
7. J.H.P. Dawes, The normal form for a Hopf/steady-state mode interaction on a hexagonal lattice. Dynamics of Continuous, Discrete and Impulsive Systems 8a (4), 551-558 (2001) - part of a Special Issue on the Computation of Normal Forms and Applications.
Preprint (with an old title): 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, 471-510 (2002)
Preprint: PDF
9. J.H.P. Dawes, P.C. Matthews and A.M. Rucklidge, Reducible actions of D4 x T2: superlattice patterns and hidden symmetries. Nonlinearity 16, 615-645 (2003)
Preprint: PDF
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, 1-30 (2004)
Preprint: Gzipped postscript (507K) or PDF (1.2M)
11. C.M. Postlethwaite and J.H.P. Dawes, Regular and irregular cycling near a heteroclinic network. Nonlinearity 18, 1477-1509 (2005)
Preprint: Gzipped postscript (290K) or PDF (348K)
12. C.M. Postlethwaite and J.H.P. Dawes, A codimension-two resonant bifurcation from a heteroclinic cycle with complex eigenvalues. Dynamical Systems: an international journal 21, 313-336 (2006)
DOI: 10.1080/14689360600552928. Preprint: PDF
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)
14. T. Putelat, J.H.P. Dawes and J.R. Willis, Sliding modes of two interacting frictional interfaces. J. Mech. Phys. Solids 55, 2073-2105 (2007)
DOI: 10.1016/j.jmps.2007.03.004. Preprint: PDF (1.2M)
15. J.H.P. Dawes, Localised convection cells in the presence of a vertical magnetic field. J. Fluid Mech. 570, 385-406 (2007)
Preprint: Gzipped postscript (940K) or PDF (1.1M)
16. J.H.P. Dawes, Localised pattern formation with a large-scale mode: slanted snaking. SIAM J. Appl. Dyn. Syst. 7 (1), 186-206 (2008)
doi: 10.1137/06067794X. Preprint: PDF (383K)
17. J.H.P. Dawes and M.R.E. Proctor, Secondary Turing-type instabilities due to strong spatial resonance. Proc. Roy. Soc. Lond. A. 464, 923-942 (2008)
DOI: 10.1098/rspa.2007.0221. Preprint version: PDF (4.4M)
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)
19. T. Putelat, J.R. Willis and J.H.P. Dawes, On the seismic cycle seen as a relaxation oscillation. Phil. Mag. 88 3219-3243 (2008)
(Special issue: `Instabilities across the scales').
Preprint: PDF (1.5M)
20. J.H.P. Dawes, Modulated and localised states in a finite domain. SIAM J. Appl. Dyn. Syst. 8, 909-930 (2009)
Preprint: PDF (603K)
21. T. Putelat, J.H.P. Dawes and J.R. Willis, Regimes of frictional sliding of a spring-block system. J. Mech. Phys. Solids 58, 27-53 (2010)
Preprint: PDF (2.1M)
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, 238-260 (2010)
Preprint: PDF (1.3M)
23. C.M. Postlethwaite and J.H.P. Dawes, Resonance bifurcations from robust homoclinic cycles. Nonlinearity 23, 621-642 (2010)
Preprint: PDF (500K)
24. C. Taylor and J.H.P. Dawes, Snaking and isolas of localised states in bistable discrete lattices. Phys. Lett. A 375, 14-22 (2010)
Preprint: PDF (1.8M)
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, 3519-3534 (2010)
(Special issue: 'Visions of the future for the Royal Society's 350th anniversary year')
Preprint: PDF (563K)
26. T. Putelat, J.H.P. Dawes and J.R. Willis, On the microphysical foundations of rate-and-state friction. J. Mech. Phys. Solids 59, 1062-1075 (2011)
Preprint: PDF (205K). Article: here.
27. J.H.P. Dawes and M.C. Freeland, The `0--1 test for chaos' and strange nonchaotic attractors. Submitted.
Preprint: PDF (637K)
28. 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)
29. J. Burke and J.H.P. Dawes, Localized states in an extended Swift--Hohenberg equation. SIAM J. App. Dyn. Syst. 11, 261-284 (2012)
Article: PDF (584K). Also available at arXiv:1108.1984v1.
30. T. Putelat, J.R. Willis and J.H.P. Dawes, Wave-modulated orbits in rate-and-state friction. International Journal of Non-linear Mechanics 47, 258-267 (2012)
Preprint: PDF (1.8M)
31. J.H.P. Dawes and C.J. Penington, Scaling laws for localised states in a nonlocal amplitude equation. Geophys. Astrophys. Fluid Dyn. 106, 372-391 (2012)
(Special issue: Convection, magnetoconvection and dynamo theory.)
Preprint: PDF (3.7M)
32. J.H.P. Dawes and M.O. Souza, A derivation of Holling's type I, II and III functional responses in predator-prey systems. J. Theor. Biol. 327, 11-22 (2013)
Preprint: PDF (340K)
33. T.L. Tsai and J.H.P. Dawes, Dynamics near a periodically-perturbed robust heteroclinic cycle. Submitted.
34. J.H.P. Dawes and H. Susanto, Variational approximation and the use of collective coordinates. To appear in Phys. Rev. E
Preprint: PDF (228K). Also available at arXiv:1305.4379.



Conference Proceedings (refereed)

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 Rayleigh-Benard stability threshold' by A. Prosperetti Phys. Fluids 24:114101 (2012). To appear in Phys. Fluids (2013)

Book Reviews:
J.H.P. Dawes, Review of Pattern Formation: An Introduction to Methods by Rebecca Hoyle. CUP, 2006. J. Fluid Mech. 571, 506-507 (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, 473-474 (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...