Browse by Academic Unit (A-Z)

A

Ashwin, P., Field, M., Rucklidge, A.M. and Sturman, R. (2003) Phase resetting effects for robust cycles between chaotic sets. Chaos: An Interdisciplinary Journal of Nonlinear Science, 13 (3). pp. 973-981. ISSN 1054-1500

Ashwin, P. and Rucklidge, A.M. (1998) Cycling chaos: its creation, persistence and loss of stability in a model of nonlinear magnetoconvection. Physica D: Nonlinear Phenomena, 122 (1-4). pp. 134-154. ISSN 0167-2789

Ashwin, P., Rucklidge, A.M. and Sturman, R. (2004) Cycling chaotic attractors in two models for dynamics with invariant subspaces. Chaos: An Interdisciplinary Journal of Nonlinear Science, 14 (3). pp. 571-582. ISSN 1054-1500

Ashwin, P., Rucklidge, A.M. and Sturman, R. (2002) Infinities of stable periodic orbits in systems of coupled oscillators. Physical Review E, 66 (3 (art). pp. 1-4. ISSN 1063-651X

Ashwin, P., Rucklidge, A.M. and Sturman, R. (2004) Two-state intermittency near a symmetric interaction of saddle-node and Hopf bifurcations: a case study from dynamo theory. Physica D: Nonlinear Phenomena, 194 (1-2). pp. 30-48. ISSN 0167-2789

Assaf, M and Mobilia, M (2012) Metastability and anomalous fixation in evolutionary games on scale-free networks. Physical Review Letters, 109 (18). 1 - 5 . ISSN 0031-9007

B

Berest, Y and Chalykh, O (2012) Ideals of rings of differential operators on algebraic curves (with an appendix by George Wilson). Journal of Pure and Applied Algebra, 216 (7). 1493 - 1527 . ISSN 0022-4049

Berest, Y and Chalykh, O (2011) Quasi-invariants of complex reflection groups. Compositio Mathematica, 147 (3). 965 - 1002 . ISSN 0010-437X

Berest, Y, Chalykh, O and Eshmatov, F (2008) Recollement of Deformed Preprojective Algebras and the Calogero-Moser Correspondence. Moscow Mathematical Journal, 8 (1). ISSN 1609-4514

Bishko, G., McLeish, T.C.B., Harlen, O.G. and Larson, R.G. (1997) Theoretical molecular rheology of branched polymers in simple and complex flows: the pom-pom model. Physical Review Letters, 79 (12). pp. 2352-2355. ISSN 0031-9007

Blanchard, A., Graham, R.S., Heinrich, M., Richter, D., Pyckhout-Hintzen, W., Richter, D., Likhtman, A.E., McLeish, T.B.C, Read, D.J., Straube, E. and Kohlbrecher, J. (2005) Small angle neutron scattering observation of chain retraction after a large step deformation. Physical Review Letters, 95 (16). Art. No. 166001. ISSN 0031-9007

Blanchflower, S.M., Rucklidge, A.M. and Weiss, N.O. (1998) Modelling photospheric magnetoconvection. Monthly Notices of the Royal Astronomical Society, 301 (3). pp. 593-608. ISSN 0035-8711

Borman, DJ, Ingham, DB, Johansson, T and Lesnic, D (2007) The Method of Fundamental Solutions for Direct Cavity Problems in EIT. In: Trevelyan, J, (ed.) Advances in Boundary Integral Methods-Proceedings of 6th UK conference on Boundary Integral Methods (proceedings). Advances in Boundary Integral Methods-Proceedings of 6th UK conference on Boundary Integral Methods, Durham. Durham Publications , 193 - 202 . ISBN 978-0-9535558-3-3

Botha, G.J.J., Rucklidge, A.M. and Hurlburt, N.E. (2006) Converging and diverging convection around axisymmetric magnetic flux tubes. Monthly Notices of the Royal Astronomical Society, 369 (4). pp. 1611-1624. ISSN 1365-2966

Botha, GJJ, Busse, FH, Hurlburt, NE and Rucklidge, AM (2008) Numerical simulations of rotating axisymmetric sunspots. Monthly notices of the Royal Astronomical Society, 387 (4). 1445 - 1462 . ISSN 0035-8711

Botha, GJJ, Rucklidge, AM and Hurlburt, NE (2011) Nonlinear three-dimensional magnetoconvection around magnetic flux tubes. The Astrophysical Journal, 731 (2). ISSN 0004-637X

Brook, B.S., Falle, S.A.E.G. and Pedley, T.J. (1999) Numerical solutions for unsteady gravity-driven flows in collapsible tubes: evolution and roll-wave instability of a steady state. Journal of Fluid Mechanics, 396. pp. 223-256. ISSN 0022-1120

Burke, J., Houghton, S.M. and Knobloch, E. (2009) Swift-Hohenberg equation with broken reflection symmetry. Physical Review E, 80 (3). 036202-1. ISSN 1539-3755

Bushby, P.J., Houghton, S.M., Proctor, M.R.E. and Weiss, N.O. (2008) Convective intensification of magnetic fields in the quiet Sun. Monthly Notices of the Royal Astronomical Society, 387 (2). pp. 698-706. ISSN 1365-2966

C

Chalykh, O (2007) Bethe ansatz for the Ruijsenaars model of BC1- type. Symmetry, Integrability and Geometry, Methods and Applications : SIGMA, 3. ISSN 1815-0659

Chalykh, O and Etingof, P (2012) Orthogonality relations and Cherednik identities for multivariable Baker-Akhiezer functions. Advances in Mathematics. ISSN 0001-8708 (Submitted)

Collis, M.W., Lele, A.K., Mackley, M.R., Graham, R.S., Groves, D.J., Likhtman, A.E., Nicholson, T.M., Harlen, O.G., McLeish, T.C.B., Hutchings, L.R., Fernyhough, C.M. and Young, R.N. (2005) Constriction flows of monodisperse linear entangled polymers: Multiscale modeling and flow visualization. Journal of Rheology, 49 (2). pp. 501-522. ISSN 0148-6055

Crompton, P.R. (2009) The partition function zeroes of quantum critical points. Nuclear Physics B, 810 (3). pp. 542-562. ISSN 0550-3213

D

Dawes, J.H.P., Matthews, P.C. and Rucklidge, A.M. (2003) Reducible actions of D4 x T2: superlattice patterns and hidden symmetries. Nonlinearity, 16 (2). 615 -645. ISSN 1361-6544

Dawson, M, Borman, DJ, Hammond, R, Lesnic, D and Rhodes, D Predicting a Time Evolving Accumulating Crystalline Formation using a Meshless Boundary Tracking Approach. In: Particle Systems Analysis PSA2011, 05 Oct 2011 - 07 Oct 2011 , Hilton Grosvenor Hotel, Edinburgh, UK. (Unpublished)

Dawson, M, Borman, DJ, Lesnic, D, Hammond, R and Rhodes, D (2011) Meshless detection of an internal moving boundary. In: Proceedings of the 8th UK Conference on Boundary Integral Methods,. Proceedings of the 8th UK Conference on Boundary Integral Methods, 04 Jul 2011 - 05 Jul 2011, Leeds. Leeds University Press , Leeds , 17 - 24 .

F

Falle, S.A.E.G. (2002) Rarefaction shocks, shock errors, and low order of accuracy in ZEUS. The Astrophysical Journal Letters, 577 (2). L123-L126. ISSN 0004-637X

Falle, S.A.E.G. and Komissarov, S. (2001) On the inadmissibility of non-evolutionary shocks. Journal of Plasma Physics, 65 (1). pp. 29-58. ISSN 1469-7807

G

Gaskell, P.H., Savage, M.D. and Wilson, M. (1997) Stokes flow in a half-filled annulus between rotating coaxial cylinders. Journal of Fluid Mechanics, 337. pp. 263-282. ISSN 1469-7645

Gerdjikov, VS, Grahovski, GG, Mikhailov, AV and Valchev, TI (2011) Polynomial bundles and generalised Fourier transforms for integrable equations on A.III-type symmetric spaces. SIGMA (Symmetry, Integrability and Geometry: Methods and Applications), 7. ISSN 1815-0659

Gog, J.R., Oprea, I., Proctor, M.R.E. and Rucklidge, A.M. (1999) Destabilization by noise of tranverse perturbations to heteroclinic cycles: a simple model and an example from dynamo theory. Proceedings of the Royal Society Series A: Mathematical Physical and Engineering Sciences, 455 (1992). pp. 4205-4222. ISSN 1471-2946

H

Harlen, O., Jimack, P.K., Tenchevt, R. and Walkley, M.A. (2008) Finite element modelling of two- and three-dimensional viscoelastic polymer flows. In: Trends in Engineering Computational Technology. Computational Science, Engineering & Technology Series (20). Saxe-Coburg Publications, UK , pp. 81-101. ISBN 978-1-874672-40-1

Houghton, S.M., Knobloch, E., Tobias, S.M. and Proctor, M.R.E. (2010) Transient spatiotemporal chaos in the complex Ginzburg-Landau equation on long domains. Physics Letters A, 374 (19-20). pp. 2030-2034. ISSN 0375-9601

Houghton, S.M. and Knobloch, E. (2009) Homoclinic snaking in bounded domains. Physical Review E, 80 (2). Art. No. 026210. ISSN 1539-3755

Houghton, S.M., Tobias, S.M., Knobloch, E. and Proctor, M.R.E. (2009) Bistability in the Complex Ginzburg-Landau Equation with Drift. Physica D: Nonlinear Phenomena, 238 (2). pp. 184-196. ISSN 0167-2789

Hoyle, DM, Huang, Q, Auhl, D, Hassell, D, Rasmussen, HK, Skov, AL, Harlen, OG, Hassager, O and McLeish, TCB (2013) Transient overshoot extensional rheology of long chain branched polyethylenes: experimental and numerical comparisons between filament stretching and cross-slot flow. Journal of Rheology, 57 (1). 293 - 313 . ISSN 0148-6055

Hurlburt, N.E., Alexander, D. and Rucklidge, A.M. (2002) Complete Models of Axisymmetric Sunspots: Magnetoconvection with Coronal Heating. The Astrophysical Journal, 577 (2). pp. 993-1005. ISSN 1538-4357

Hurlburt, N.E., Matthews, P.C. and Rucklidge, A.M. (2000) Solar magnetoconvection. Solar Physics, 192 (1-2). pp. 109-118. ISSN 1573-093X

Hurlburt, N.E. and Rucklidge, A.M. (2000) Development of structure in pores and sunspots: flows around axisymmetric magnetic flux tubes. Monthly Notices of the Royal Astronomical Society, 314 (4). pp. 793-806. ISSN 0035-8711

K

Kirk, V, Lane, E, Postlethwaite, CM, Rucklidge, AM and Silber, M (2010) A mechanism for switching near a heteroclinic network. Dynamical Systems, 25 (3). 323 - 349 . ISSN 1468-9367

Kirk, V, Postlethwaite, C and Rucklidge, AM (2012) Resonance bifurcations of robust heteroclinic networks. SIAM Journal on Applied Dynamical Systems, 11 (4). 1360 - 1401 . ISSN 1536-0040

L

Lim, A.J., Falle, S.A.E.G. and Hartquist, T.W. (2005) The production of magnetically dominated star-forming regions. The Astrophysical Journal, 632 (2). L91-L94. ISSN 0004-637X

Llewellyn Smith, S.G. and Tobias, S.M. (2004) Vortex dynamos. Journal of Fluid Mechanics, 498. pp. 1-21. ISSN 0022-1120

M

Matthews, P.C., Proctor, M.R.E., Rucklidge, A.M. and Weiss, N.O. (1993) Pulsating waves in nonlinear magnetoconvection. Physics Letters A, 183 (1). pp. 69-75. ISSN 0375-9601

Matthews, P.C., Rucklidge, A.M., Weiss, N.O. and Proctor, M.R.E. (1996) The three-dimensional development of the shearing instability of convection. Physics of Fluids, 8 (6). pp. 1350-1352. ISSN 1070-6631

Matthews, P.C. and Rucklidge, A.M. (1993) Travelling and standing waves in magnetoconvection. Proceedings of the Royal Society Series A: Mathematical and Physical Sciences, 441 (1913). pp. 649-658. ISSN 1471-2946

McCullen, NJ, Rucklidge, AM, Bale, CSE, Foxon, TJ and Gale, WF (2012) Multi-parameter models of innovation diffusion on complex networks.

Melbourne, I, Proctor, MRE and Rucklidge, AM (2001) A Heteroclinic model of geodynamo reversals and excursions. In: Dynamo and Dynamics, a Mathematical Challenge. NATO Science Series II: Mathematics, Physics & Chemistry . Kluwer: Dordrecht , 363 - 370 . ISBN 978-0-7923-7069-7

Merkin, J.H. (2008) The effect of the order of the autocatalysis on the transverse stability of reaction fronts. The Journal of Chemical Physics, 129 (3). Art. No. 034507. ISSN 0021-9606

Mikhailov, AV, Wang, JP and Xenitidis, P (2011) Recursion operators, conservation laws, and integrability conditions for difference equations. Theoretical and Mathematical Physics, 167 (1). 421 - 443 . ISSN 1573-9333

Mobilia, M (2012) Commitment Versus Persuasion in the Three-Party Constrained Voter Model. Journal of Statistical Physics. 1 - 23 . ISSN 0022-4715

Mobilia, M (2012) Stochastic dynamics of the prisoner's dilemma with cooperation facilitators. Physical Review E: Statistical, Nonlinear, and Soft Matter Physics, 86 (1 Pt 1). 1 - 9 .

O

Ockendon, H., Ockendon, J.R. and Falle, S.A.E.G. (2001) The Fanno model for turbulent compressible flow. Journal of Fluid Mechanics, 445. pp. 187-206. ISSN 0022-1120

Oliver, R, Read, DJ, Harlen, OG and Harris, SA A Stochastic Finite Element Model for the Dynamics of Globular Macromolecules. Journal of Computational Physics. ISSN 0021-9991 (Submitted)

P

Pavlakis, K.G., Williams, R.J.R., Dyson, J.E., Falle, S.A.E.G. and Hartquist, T.W. (2001) The modifcation by diffuse radiation of "cometary tail" formation behind globules. Astronomy and Astrophysics, 369 (1). pp. 263-268. ISSN 0004-6361

Peterson, R.C., Jimack, P.K. and Kelmanson, M.A. (2001) On the stability of viscous free-surface flow supported by a rotating cylinder. Proceedings of the Royal Society Series A: Mathematical, Physical and Engineering Sciences, 457 (2010). pp. 1427-1445. ISSN 1471-2946

Pittard, J.M., Arthur, S.J., Dyson, J.E., Falle, S.A.E.G., Hartquist, T.W., Knight, M.I. and Pexton, M. (2003) The evolution of mass loaded supernova remnants: II. Temperature dependent mass injection rates. Astronomy and Astrophysics, 401 (3). pp. 1027-1038. ISSN 0004-6361

Pittard, J.M., Dyson, J.E., Falle, S.A.E.G. and Hartquist, T.W. (2001) The formation of broad emission line regions in supernova-QSO wind interactions. Astronomy and Astrophysics, 375 (3). pp. 827-839. ISSN 0004-6361

Pittard, J.M., Dyson, J.E., Falle, S.A.E.G. and Hartquist, T.W. (2003) The formation of broad emission line regions in supernova-QSO wind interactions: II. 2D calculations. Astronomy and Astrophysics, 408 (1). pp. 79-94. ISSN 0004-6361

Pittard, J.M., Hartquist, T.W., Ashmore, I., Byfield, A., Dyson, J.E. and Falle, S.A.E.G. (2004) Mass-loaded spherical accretion flows. Astronomy and Astrophysics, 414 (2). pp. 399-408. ISSN 0004-6361

R

Rawlings, J.M.C., Hartquist, T.W., Williams, D.A. and Falle, S.A.E.G. (2002) Dark cloud chemistry in initially H-rich regions. Astronomy and Astrophysics, 391 (2). pp. 681-687. ISSN 0004-6361

Rucklidge, A. M. and Champneys, A. R. (2004) Boundary effects and the onset of Taylor vortices. Physica D, 191. pp. 282-296. ISSN 0167-2789

Rucklidge, A.M. (1993) Chaos in a low-order model of magnetoconvection. Physica D: Nonlinear Phenomena, 62 (1-4). pp. 323-337. ISSN 0167-2789

Rucklidge, A.M. (1994) Chaos in magnetoconvection. Nonlinearity, 7 (6). 1565 -1591. ISSN 1361-6544

Rucklidge, A.M. (1992) Chaos in models of double convection. Journal of Fluid Mechanics, 237. pp. 209-229. ISSN 1469-7645

Rucklidge, A.M. (2001) Global bifurcations in the Takens-Bogdanov normal form with D_4 symmetry near the O(2) limit. Physics Letters A, 284 (2-3). pp. 99-111. ISSN 0375-9601

Rucklidge, A.M. (2003) Pattern formation in large domains. Philosophical Transactions Of The Royal Society Of London Series A - Mathematical Physical and Engineering Sciences, 361 (1813). pp. 2649-2664. ISSN 1471-2962

Rucklidge, A.M. (1997) Symmetry-breaking instabilities of convection in squares. Proceedings of the Royal Society Series A: Mathematical, Physical and Engineering Sciences, 453 (1956). pp. 107-118. ISSN 1471-2946

Rucklidge, A.M. and Matthews, P.C. (1996) Analysis of the shearing instability in nonlinear convection and magnetoconvection. Nonlinearity, 9 (2). pp. 311-351. ISSN 1361-6544

Rucklidge, A.M., Proctor, M.R.E. and Prat, J. (2006) Mean flow instabilities of two-dimensional convection in strong magnetic fields. Geophysical & Astrophysical Fluid Dynamics, 100 (2). 121 -137. ISSN 0309-1929

Rucklidge, A.M. and Rucklidge, W.J. (2003) Convergence properties of the 8, 10 and 12 mode representations of quasipatterns. Physica D: Nonlinear Phenomena, 178 (1-2). pp. 62-82. ISSN 0167-2789

Rucklidge, A.M., Schmidt, H.U. and Weiss, N.O. (1995) The abrupt development of penumbrae in sunspots. Monthly Notices of the Royal Astronomical Society, 273 (2). pp. 491-498. ISSN 0035-8711

Rucklidge, A.M. and Silber, M. (1998) Bifurcations of periodic orbits with spatio-temporal symmetries. Nonlinearity, 11 (5). pp. 1435-1455. ISSN 1361-6544

Rucklidge, A.M. and Silber, M. (2007) Quasipatterns in parametrically forced systems. Physical Review E: Statistical, Nonlinear and Soft Matter Physics, 75 (5). 055203. ISSN 1539-3755

Rucklidge, A.M., Weiss, N.O., Brownjohn, D.P., Matthews, P.C. and Proctor, M.R.E. (2000) Compressible magnetoconvection in three dimensions: pattern formation in a strongly stratified layer. Journal of Fluid Mechanics, 419. pp. 283-323. ISSN 1469-7645

Rucklidge, A.M., Weiss, N.O., Brownjohn, D.P. and Proctor, M.R.E. (1993) Oscillations and secondary bifurcations in nonlinear magnetoconvection. Geophysical and Astrophysical Fluid Dynamics, 68 (1-4). pp. 133-150. ISSN 1029-0419

Rucklidge, AM (1996) Symmetry-breaking instabilities of convection in squares. Proceedings of the Royal Society A: Mathematical, Physical & Engineering Science, 453 (1956). 107 - 118 . ISSN 1364-5021

Rucklidge, AM, Silber, M and Fineberg, J (2003) Secondary instabilities of hexagons: a bifurcation analysis of experimentally observed Faraday wave patterns. In: Bifurcations, Symmetry and Patterns. Trends in Mathematics . Birkhauser Verlag , 101 - 114 . ISBN 978-3-7643-7020-6

Rucklidge, AM, Silber, M and Skeldon, AC (2012) Three-wave interactions and spatiotemporal chaos. Physical Review Letters, 108 (7). ISSN 0031-9007

S

Sharpe, G.J. and Falle, S.A.E.G. (2006) Nonlinear cellular instabilities of planar premixed flames: numerical simulations of the Reactive Navier-Stokes equations. Combustion Theory and Modelling, 10 (3). pp. 483-514. ISSN 1741-3559

Sharpe, G.J. and Falle, S.A.E.G. (2000) One-dimensional nonlinear stability of pathological detonations. Journal of Fluid Mechanics, 414. pp. 339-366. ISSN 0022-1120

Szczesny, B, Mobilia, M and Rucklidge, AM (2012) When does cyclic dominance lead to stable spiral waves?

T

Thomas, J.H., Weiss, N.O., Tobias, S.M. and Brummell, N.H. (2002) Downward pumping of magnetic flux as the cause of filamentary structures in sunspot penumbrae. Nature, 420 (6914). pp. 390-393. ISSN 0028-0836

Tse, D.P., Rucklidge, A.M., Hoyle, R.B. and Silber, M. (2000) Spatial period-multiplying instabilities of hexagonal Faraday waves. Physica D: Nonlinear Phenomena, 146 (1-4). pp. 367-387. ISSN 0167-2789

U

Ugail, H. and Wilson, M.J. (2005) Modelling of oedemous limbs and venous ulcers using partial differential equations. Theoretical Biology and Medical Modelling, 2 (28). ISSN 1742-4682

V

Vadillo, DC, MacKley, MR, Tembely, M, Soucemarianadin, A, Morrison, NF, Harlen, OG, Tembely, M and Soucemarianadin, A (2012) The matching of polymer solution fast filament stretching, relaxation, and break up experimental results with 1D and 2D numerical viscoelastic simulation. Journal of Rheology, 56 (6). 1491 - 1516 . ISSN 0148-6055

W

Wagner, A.Y., Falle, S.A.E.G., Hartquist, T.W. and Pittard, J.M. (2005) Cosmic ray moderation of the thermal instability. Astronomy and Astrophysics, 430 (2). pp. 567-569. ISSN 0004-6361

Walkley, M.A., Gaskell, P.H., Jimack, P.K., Kelmanson, M.A. and Summers, J.L. (2005) Adaptive finite element simulation of three-dimensional surface tension dominated free-surface flow problems. Australian and New Zealand Industrial and Applied Mathematics Journal, 46 (E). C558-C571. ISSN 1446-8735

Walkley, M.A., Gaskell, P.H., Jimack, P.K., Kelmanson, M.A. and Summers, J.L. (2005) Finite element simulation of three-dimensional free-surface flow problems. Journal of Scientific Computing, 24 (2). pp. 147-162. ISSN 0885-7474

Walkley, M.A., Gaskell, P.H., Jimack, P.K., Kelmanson, M.A., Summers, J.L. and Wilson, M.C.T. (2004) On the calculation of normals in free-surface flow problems. Communications in Numerical Methods in Engineering, 20 (5). pp. 343-351. ISSN 1099-0887

Weliwita, JA, Rucklidge, AM and Tobias, SM (2011) Skew-varicose instability in two-dimensional generalized Swift-Hohenberg equations. Physical Review E, 84 (3). ISSN 1539-3755

Weliwita, JA, Rucklidge, AM and Tobias, SM (2011) Skew-varicose instability in two-dimensional generalized Swift-Hohenberg equations. Physical Review E, 84 (3). ISSN 1539-3755