The Nonlinear Centre

Recent Publications

This page is still under construction...

In preparation:

Dawes, J.H.P. and Gog, J.R. The onset of oscillatory dynamics in models of multiple virus strains.

Dawes, J.H.P., Matthews, P.C., and Rucklidge, A.M. Reducible actions of  D4 x T2: superlattice patterns and hidden symmetries.

Halford, A.R. and Proctor, M.R.E. An oscillatory secondary bifurcation for magnetoconvection and rotating convection at small aspect ratio.

Siggers, J.H. Dynamics of targets in low-Prandtl number convection.


Dawes, J.H.P. 2001a. Hopf bifurcation on a square superlattice. Nonlinearity 14, 491-511.

Dawes, J.H.P. 2001b. A Hopf/steady-state mode interaction in rotating convection: bursts and heteroclinic cycles in a square periodic domain. Physica D 149, 197-209.

Dawes, J.H.P. 2001c. Rapidly rotating thermal convection at low Prandtl number. Journal of Fluid Mechanics 428, 61-80.

Gog J.R. and Swinton J. 2001. A status-based approach to multiple virus strains. J. Math. Biol.

Kadelburg V. Explicit bounds for continuation of breathers. Dynamical Systems 16 157-171.

Khanin, K. Burgers Equation with Random Force.

Lopes Dias, J. Renormalisation of flows on the multidimensional torus. Preprint.

Lopes Dias, J. Renormalisation of vector fields for generic frequency vectors. Preprint.

Weinan, E., Khanin, K., Mazel, A., Sinai, Ya. Invariant measures for Burgers equation with stochastic forcing.

Weiss, N.O. 2001. Turbulent magnetic fields in the sun - Presidential address 2001. Astronomy and Geophysics 42, 3.10-3.17.


Dawes, J.H.P. 2000a. The 1:root 2 Hopf/steady-state mode interaction in three-dimensional magnetoconvection. Physica D 139,

Dawes, J.H.P. 2000b. Pattern selection in oscillatory rotating convection. Physica D 147, 336-351.

Gog, J.R., Woodroffe, R. & Swinton, J. 2000. Disease In Endangered Metapopulations: The Importance Of Alternative Hosts, Proc. Roy. Soc. B.

Proctor, M. R. E., Tobias, S. M. and Knobloch, E. 2000. Noise-sustained structures due to convective instability in finite domains.
Physica D 145, 191-206.

Wissink, J. G., Hughes, D. W., Matthews, P. C. and Proctor, M. R. E. 2000. The three-dimensional breakup of a magnetic layer.
Monthly Notices of the Royal Astronomical Society 318, 501-510.

Wissink, J. G., Matthews, P. C., Hughes, D. W. and Proctor, M. R. E. 2000. Numerical simulations of buoyant magnetic flux tubes.
Astrophysical Journal 536, 982-997.


Gog, J.R., Oprea, I., Proctor, M.R.E. & Rucklidge, A.M., Destabilization by noise of tranverse perturbations to heteroclinic
cycles: a simple model and an example from dynamo theory, Proc. Roy. Soc. A 455 (1999) 4205-4222.

Suhov, Y. & Volpert, V.A., "Stationary solutions of non-autonomous Kolmogorov-Petrovsky-Piskunov equations". Ergodic Theory
and Dynamical Systems, 1999.


Beer, J., Tobias, S.M. & Weiss, N.O., "An active sun throughout the Maunder Minimum", Solar Phys. 181 (1998) 237-249.

Blanchflower, S.M., Rucklidge, A.M. & Weiss, N.O., "Modelling photospheric magnetoconvection", Mon. Not. Roy. Astr. Soc.

Knobloch, E., Tobias, S.M. & Weiss, N.O., "Modulation and symmetry changes in stellar dynamos", Mon. Not. Roy. Astr. Soc. 297 (1998) 1123-1138.

Proctor, M.R.E., Tobias, S.M. & Knobloch, E., "Convective and Absolute Instabilities of Fluid Flows in Finite Geometry", Physica D 113 (1998)

Proctor, M.R.E. & Fox, P.J., "The effects of distant boundaries on pattern forming instabilities", Phys. Rev. E. 57 (1998) 491-494.

Proctor, M.R.E., Hollerbach, R. & Galloway, D.J., "On the adjustment to the Bondi-Gold Theorem in a spherical-shell fast dynamo", Geophys. Astrophys. Fluid Dyn. 87 (1998) 111-132.

Proctor, M.R.E. & Silber, M., "Nonlinear competition between small and large hexagonal patterns", Phys. Rev Lett. (1998)

Proctor, M.R.E. & Metzener, P., "Stability Characteristics of uniform wavetrains near Hopf bifucations with general marginal curves", Phys. Rev E (1998)

Proctor, M.R.E., Tao, L., Weiss, N.O. & Brownjohn, D.P., "Flux separation in Stellar Magnetoconvection", Astrophys. J. (1998)

Proctor, M.R.E., Tao, L. & Weiss, N.O., "Flux expulsion by inhomogeneous turbulence", Mon. Not. Roy. Astr. Soc. (1998)

Proctor, M.R.E. & Lythe, G.D., "Predictability of noise-controlled dynamics", Physica D (1998)

Suhov, Y. & (by P. Hiemer and V. Snurnikov (the supervised work)), "Polygonal billiards with point obstacles", J. Stat. Phys. V 90

Suhov, Y., Kontoyiannis, I., Algoet, P.H. & Wyner, A.J., "Nonparametric entropy estimation for stationary processes and random
fields with applications to English text", IEEE Trans. Inform. Theory, 44 (1998) 1319-1327.

Suhov, Y. & Bradley, W.F., "The entropy of famous reals: empirical results", Random and Computational Dynamics 1998.

Tao, L.L., Weiss, N.O., Brownjohn, D.P. & Proctor, M.R.E., "Flux separation in stellar magnetoconvection", Astrophys. J. 496

Tao, L.L., Proctor, M.R.E. & Weiss, N.O., "Turbulent flux expulsion", Mon. Not. Roy. Astr. Soc.

Nonlinear Centre, DAMTP, University of Cambridge
Silver Street, Cambridge CB3 9EW, U.K.



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Last updated on 4th September 2001.