# Items by Dawes, Jonathan

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**26**.## 2015

Dawes, J. H. P., 2015. Forthcoming. After 1952:The later development of Alan Turing's ideas on the mathematics of pattern formation.

*Historia Mathematica*## 2014

Morgan, D. and Dawes, J. H. P., 2014. The Swift–Hohenberg equation with a nonlocal nonlinearity.

*Physica D: Nonlinear Phenomena*, 270, pp. 60-80.## 2013

Dawes, J. H. P. and Susanto, H., 2013. Variational approximation and the use of collective coordinates.

*Physical Review E*, 87 (6), 063202.Dawes, J. H. P. and Souza, M. O., 2013. A derivation of Holling's type I, II and III functional responses in predator-prey systems.

*Journal of Theoretical Biology*, 327 (1), pp. 11-22.Dawes, J. H. P., 2013. Comment on "The effect of rotation on the Rayleigh-Bénard stability threshold" [Phys. Fluids 24, 114101 (2012)].

*Physics of Fluids*, 25 (5), 059101.## 2012

Putelat, T., Willis, J. R. and Dawes, J. H. P., 2012. Wave-modulated orbits in rate-and-state friction.

*International Journal of Non-Linear Mechanics*, 47 (2), pp. 258-267.Burke, J. and Dawes, J. H. P., 2012. Localized states in an extended Swift–Hohenberg equation.

*SIAM Journal on Applied Dynamical Systems*, 11 (1), pp. 261-284.Dawes, J.H.P. and Penington, C.J., 2012. Scaling laws for localised states in a nonlocal amplitude equation.

*Geophysical and Astrophysical Fluid Dynamics*, 106 (4-5), pp. 372-391.## 2011

Dawes, J. H. P. and Giles, W. J., 2011. Turbulent transition in a truncated one-dimensional model for shear flow.

*Proceedings of the Royal Society of London Series A - Mathematical Physical and Engineering Sciences*, 467 (2135), pp. 3066-3087.Putelat, T., Dawes, J. H. P. and Willis, J. R., 2011. On the microphysical foundations of rate-and-state friction.

*Journal of the Mechanics and Physics of Solids*, 59 (5), pp. 1062-1075.Tsai, T. L. and Dawes, J. H. P., 2011. Dynamics near a periodically forced robust heteroclinic cycle.

*Journal of Physics: Conference Series*, 286 (1), 012057.## 2010

Taylor, C. and Dawes, J. H. P., 2010. Snaking and isolas of localised states in bistable discrete lattices.

*Physics Letters A*, 375 (1), pp. 14-22.Dawes, J. H. P. and Lilley, S., 2010. Localized states in a model of pattern formation in a vertically vibrated layer.

*SIAM Journal on Applied Dynamical Systems*, 9 (1), pp. 238-260.Postlethwaite, C. M. and Dawes, J. H. P., 2010. Resonance bifurcations from robust homoclinic cycles.

*Nonlinearity*, 23 (3), pp. 621-642.Putelat, T., Dawes, J. H. P. and Willis, J. R., 2010. Regimes of frictional sliding of a spring-block system.

*Journal of the Mechanics and Physics of Solids*, 58 (1), pp. 27-53.Dawes, J. H. P., 2010. The emergence of a coherent structure for coherent structures: localized states in nonlinear systems.

*Philosophical Transactions of the Royal Society A - Mathematical Physical and Engineering Sciences*, 368 (1924), pp. 3519-3534.## 2009

Dawes, J. H. P., 2009. Modulated and localized states in a finite domain.

*SIAM Journal on Applied Dynamical Systems*, 8 (3), pp. 909-930.## 2008

Putelat, T., Willis, J. R. and Dawes, J. H. P., 2008. On the seismic cycle seen as a relaxation oscillation.

*Philosophical Magazine*, 88 (28), pp. 3219-3243.Dawes, J. H. P. and Proctor, M. R. E., 2008. Secondary Turing-type instabilities due to strong spatial resonance.

*Proceedings of the Royal Society of London Series A - Mathematical Physical and Engineering Sciences*, 464 (2092), pp. 923-942.Dawes, J. H. P., 2008. Localized pattern formation with a large-scale mode: slanted snaking.

*SIAM Journal on Applied Dynamical Systems*, 7 (1), pp. 186-206.Morris, S. W., Dawes, J. H. P., Ribe, N. M. and Lister, J. R., 2008. Meandering instability of a viscous thread.

*Physical Review E*, 77 (6), 066218.## 2007

Putelat, T., Dawes, J. H. P. and Willis, J., 2007. Sliding modes of two interacting frictional interfaces.

*Journal of the Mechanics and Physics of Solids*, 55 (10), pp. 2073-2105.Dawes, J. H. P., 2007. Localized convection cells in the presence of a vertical magnetic field.

*Journal of Fluid Mechanics*, 570, pp. 385-406.## 2006

Dawes, J. H. P. and Tsai, T. L., 2006. Frequency locking and complex dynamics near a periodically forced robust heteroclinic cycle.

*Physical Review E (PRE)*, 74 (5), 055201.Postlethwaite, C. M. and Dawes, J. H. P., 2006. A codimension-two resonant bifurcation from a heteroclinic cycle with complex eigenvalues.

*Dynamical Systems: An International Journal*, 21 (3), pp. 313-33636.## 2005

Postlethwaite, C. M. and Dawes, J. H. P., 2005. Regular and irregular cycling near a heteroclinic network.

*Nonlinearity*, 18 (4), pp. 1477-1509.