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UNIVERSITY of CAMBRIDGE |

## 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 *D _{4}* x

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.

*2001*

**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.

*2000*

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

109-136.

**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.

*1999*

**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.

*1998*

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)

43-72.

**Proctor, M.R.E**. & Fox, P.J., "The effects of distant boundaries
on pattern forming instabilities", *Phys. Rev.* E. **5**7 (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**

453-466.

**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**

L39-L42.

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

Comments to nlc@damtp.cam.ac.uk

Last updated on 4th September 2001.