Alastair Rucklidge: list of publications

Refereed Articles (see also ResearcherID)

  1. Formation of quasicrystals and other exotic crystal structures in a soft-core fluid: a tale of two length scales, by A.J. Archer, A.M. Rucklidge and E. Knobloch
  2. Modelling diffusion of energy innovations on a social network and integration of real-world data by Catherine S.E. Bale, Nicholas J. McCullen, Timothy J. Foxon, Alastair M. Rucklidge and William F. Gale.
  3. When does cyclic dominance lead to stable spiral waves? by Bartosz Szczesny, Mauro Mobilia and Alastair M. Rucklidge.
  4. Multi-parameter models of innovation diffusion on complex networks, by Nicholas J. McCullen, Alastair M. Rucklidge, Catherine S. E. Bale, Tim J. Foxon, William F. Gale. SIAM J. Applied Dynamical Systems 12 (2013) 515-532. doi:10.1137/120885371.
    This paper is the subject of a SIAM Nugget, and has also attracted some attention from ScienceDaily, Phys.org, and the Atlantic Cities.
  5. Resonance bifurcations of robust heteroclinic networks, by Vivien Kirk, Claire M. Postlethwaite and Alastair M. Rucklidge. SIAM J. Applied Dynamical Systems 11 (2012) 1360-1401. doi:10.1137/120864684
  6. Three-wave interactions and spatio-temporal chaos, by A.M. Rucklidge, M. Silber and A.C. Skeldon. Physical Review Letters 108 (2012) 074504. doi:10.1103/PhysRevLett.108.074504
  7. Formation of magnetic flux tubes in cylindrical wedge geometry, by G.J.J. Botha, A.M. Rucklidge and N.E. Hurlburt. Geophys. Astrophys. Fluid Dynamics 106 (2012) 701-709. doi:10.1080/03091929.2011.643236
  8. Skew-varicose instability in two dimensional generalized Swift-Hohenberg equations, by J.A. Weliwita, A.M. Rucklidge and S.M. Tobias. Phys. Rev. E 84 (2011) 036201. doi:10.1103/PhysRevE.84.036201
  9. Nonlinear three-dimensional magnetoconvection around magnetic flux tubes, by G.J.J. Botha, A.M. Rucklidge and N.E. Hurlburt. Astrophysical J. 731 (2011) 108. doi:10.1088/0004-637X/731/2/108
  10. A mechanism for switching near a heteroclinic network, by Vivien Kirk, Emily Lane, Claire M. Postlethwaite, Alastair M. Rucklidge and Mary Silber. Dynamical Systems: An International Journal 25 (2010) 323-349. doi:10.1080/14689361003779134
  11. On the existence of quasipattern solutions of the Swift-Hohenberg equation, by G. Iooss and A.M. Rucklidge. J. Nonlinear Science 20 (2010) 361-394. doi:10.1007/s00332-010-9063-0
  12. Design of parametrically forced patterns and quasipatterns, by A.M. Rucklidge and M. Silber. SIAM J. Applied Dynamical Systems 8 (2009) 298-347. doi:10.1137/080719066
    The multimedia in this paper was featured in the October 2011 edition of the DSweb online magazine.
  13. The effect of symmetry breaking on the dynamics near a structurally stable heteroclinic cycle between equilibria and a periodic orbit, by V. Kirk and A.M. Rucklidge. Dynamical Systems: An International Journal 23 (2008) 43-74. doi:10.1080/14689360701709088
  14. Numerical simulations of rotating axisymmetric sunspots, by G.J.J. Botha, F.H. Busse, N.E. Hurlburt and A.M. Rucklidge. Mon. Not. R. Astron. Soc. 387 (2008) 1445-1462. doi:10.1111/j.1365-2966.2008.13359.x
  15. Quasipatterns in parametrically forced systems, by A.M. Rucklidge and M. Silber. Phys. Rev. E 75 (2007) 055203(R). doi:10.1103/PhysRevE.75.055203
  16. Nonaxisymmetric instabilities of convection around magnetic flux tubes, by G.J.J. Botha, A.M. Rucklidge and N.E. Hurlburt. Astrophysical J. 662 (2007) L27-L30.
  17. Converging and diverging convection around axisymmetric magnetic flux tubes, by G.J.J. Botha, A.M. Rucklidge and N.E. Hurlburt. Mon. Not. R. Astron. Soc. 369 (2006) 1611-1624. doi:10.1111/j.1365-2966.2006.10480.x
  18. Mean flow instabilities of two-dimensional convection in strong magnetic fields, by A.M. Rucklidge, M.R.E. Proctor and J. Prat. Geophys. Astrophys. Fluid Dynamics 100 (2006) 121-137. doi:10.1080/03091920600565595
  19. Cycling chaotic attractors in two models for dynamics with invariant subspaces, by Peter Ashwin, A.M. Rucklidge and Rob Sturman. Chaos 14 (2004) 571-582. doi:10.1063/1.1769111
  20. Two-state intermittency near a symmetric interaction of saddle-node and Hopf bifurcations: a case study from dynamo theory, by Peter Ashwin, A.M. Rucklidge and Rob Sturman. Physica D 194 (2004) 30-48. 10.1016/j.physd.2004.02.002
  21. Boundary effects and the onset of Taylor vortices, by A.M. Rucklidge and A.R. Champneys. Physica D 191 (2004) 282-296. 10.1016/j.physd.2003.12.003
  22. Pattern formation in large domains, by A.M. Rucklidge. Phil. Trans. R. Soc. Lond. A 361 (2003) 2649-2664. doi:10.1098/rsta.2003.1267
  23. Convergence properties of the 8, 10 and 12 mode representations of quasipatterns, by A.M. Rucklidge and W.J. Rucklidge. Physica D 178 (2003) 62-82. doi:10.1016/S0167-2789(02)00792-3
  24. Phase resetting effects for robust cycles between chaotic sets, by Peter Ashwin, Michael Field, A.M. Rucklidge and Rob Sturman. Chaos 13 (2003) 973-981. doi:10.1063/1.1586531
  25. Reducible actions of D4 x T2: superlattice patterns and hidden symmetries, by J.H.P. Dawes, P.C. Matthews and A.M. Rucklidge. Nonlinearity 16 (2003) 615-645. doi:10.1088/0951-7715/16/2/315
  26. Infinities of stable periodic orbits in systems of coupled oscillators, by Peter Ashwin, A.M. Rucklidge and Rob Sturman. Phys. Rev. E, 66 (2002) 035201(R). doi:10.1103/PhysRevE.66.035201
  27. Complete models of axisymmetric sunspots: magnetoconvection with coronal heating, by N.E. Hurlburt, D. Alexander and A.M. Rucklidge. Ap. J., 577 (2002) 993-1005.
  28. Global bifurcations in the Takens-Bogdanov normal form with D_4 symmetry near the O(2) limit, by A.M. Rucklidge. Phys. Lett. A 284 (2001) 99-111. doi:10.1016/S0375-9601(01)00276-6
  29. Spatial period-multiplying instabilities of hexagonal Faraday waves, by D.P. Tse, A.M. Rucklidge, R.B. Hoyle and M. Silber. Physica D 146 (2000) 367-387. doi:10.1016/S0167-2789(00)00124-X
  30. Compressible magnetoconvection in three dimensions: pattern formation in a strongly stratified layer, by A.M. Rucklidge, N.O. Weiss, D.P. Brownjohn, P.C. Matthews and M.R.E.Proctor. J. Fluid Mech. 419 (2000) 283-323. doi:10.1017/S0022112000001373
  31. Solar magnetoconvection, by N.E. Hurlburt, P.C. Matthews and A.M. Rucklidge. Solar Physics 192 (2000) 109-118. doi:10.1023/A:1005239617458
  32. Development of structure in pores and sunspots: flows around axisymmetric magnetic flux tubes, by N.E. Hurlburt and A.M. Rucklidge. Mon. Not. R. Astron. Soc. 314 (2000) 793-806. doi:10.1046/j.1365-8711.2000.03407.x
  33. Destabilization by noise of tranverse perturbations to heteroclinic cycles: a simple model and an example from dynamo theory, by J.R.Gog, I.Oprea, M.R.E.Proctor and A.M. Rucklidge. Proc. R. Soc. Lond. A 455 (1999) 4205-4222. doi:10.1098/rspa.1999.0498
  34. Bifurcations of periodic orbits with spatio-temporal symmetries, by A.M. Rucklidge and M. Silber. Nonlinearity 11 (1998) 1435-1455. doi:10.1088/0951-7715/11/5/015
  35. Cycling chaos: its creation, persistence and loss of stability in a model of nonlinear magnetoconvection, by Peter Ashwin and A.M. Rucklidge. Physica D 122 (1998) 134-154. doi:10.1016/S0167-2789(98)00174-2
  36. Modelling photospheric magnetoconvection, by S.M. Blanchflower, A.M. Rucklidge and N.O. Weiss. Mon. Not. R. Astron. Soc. 301 (1998) 593-608.
  37. Symmetry-breaking instabilities of convection in squares, by A.M. Rucklidge. Proc. R. Soc. Lond. A 453 (1997) 107-118. doi:10.1098/rspa.1997.0007
  38. Analysis of the shearing instability in nonlinear convection and magnetoconvection, by A.M. Rucklidge and P.C. Matthews. Nonlinearity 9 (1996) 311-351. doi:10.1088/0951-7715/9/2/003
  39. The three-dimensional development of the shearing instability of convection, by P.C. Matthews, A.M. Rucklidge, N.O. Weiss and M.R.E. Proctor. Phys. Fluids 8 (1996) 1350-1352. doi:10.1063/1.868943
  40. The abrupt development of penumbrae in sunspots, by A.M. Rucklidge, H.U. Schmidt and N.O. Weiss. Mon. Not. R. Astron. Soc. 273 (1995) 491-498.
  41. Chaos in magnetoconvection, by A.M. Rucklidge. Nonlinearity 7 (1994) 1565-1591. doi:10.1088/0951-7715/7/6/003
  42. Pulsating waves in nonlinear magnetoconvection, by P.C. Matthews, M.R.E. Proctor, A.M. Rucklidge and N.O. Weiss. Phys. Lett. A 183 (1993) 69-75.
  43. Travelling and standing waves in magnetoconvection, by P.C. Matthews and A.M. Rucklidge. Proc. R. Soc. Lond. A 441 (1993) 649-658.
  44. Oscillations and secondary bifurcations in nonlinear magnetoconvection, by A.M. Rucklidge, N.O. Weiss, D.P. Brownjohn and M.R.E. Proctor. Geophys. Astrophys. Fluid Dynamics 68 (1993) 133-150.
  45. Chaos in a low-order model of magnetoconvection, by A.M. Rucklidge. Physica D 62 (1993) 323-337.
  46. Chaos in models of double convection, by A.M. Rucklidge. J. Fluid Mech. 237 (1992) 209-229. doi:10.1017/S0022112092003392
  47. A microcanonical model for interface formation, by A.M. Rucklidge and S. Zaleski. J. Stat. Phys. 51 (1988) 299-307.
  48. Near-infrared photoreceptor devices incorporating evaporated chloroindium phthalocyanine, by R.O. Loutfy, A.M. Hor and A.M. Rucklidge. J. Imaging Sci. 31 (1987) 31-37.

Conference Proceedings

  1. Local authority interventions in the domestic sector and the role of social networks: a case study from the city of Leeds, by C.S.E. Bale, N.J. McCullen, T.J. Foxon, A.M. Rucklidge and W.F. Gale. In Energy & People: Futures, complexity and challenges (2011).
  2. Numerical simulations of sunspots, by G.J.J. Botha, A.M. Rucklidge and N.E. Hurlburt. In Convection in Astrophysics (IAU S239) (eds. F. Kupka, I.W. Roxburgh and K.L. Chan) Cambridge University Press (2007) 507-509. doi:10.1017/S1743921307001019
  3. Numerical simulations of rotating sunspots, by G.J.J. Botha, A.M. Rucklidge, F.H. Busse and N.E. Hurlburt. In SOHO-17: 10 Years of SOHO and Beyond (ed. H. Lacoste) ESA SP-617: Noordwijk (2006) 29.
  4. Dynamics of convection around axisymmetric magnetic flux tubes, by G.J.J. Botha, A.M. Rucklidge and N.E. Hurlburt. In 31st EPS Conference on Plasma Physics (Europhysics Conference Abstracts) 28G P-2.062 (2004).
  5. Convergence properties of Fourier mode representations of quasipatterns, by A.M. Rucklidge. In Dynamics and Bifurcation of Patterns in Dissipative Systems (eds. G. Dangelmayr and I. Oprea) World Scientific: Singapore (2004) 124-139.
  6. Cycling attractors of coupled cell systems and dynamics with symmetry, by Peter Ashwin, A.M. Rucklidge and Rob Sturman. In Synchronization: Theory and Application (eds. A. Pikovsky and Y. Maistrenko) Kluwer: Dordrecht (2003) 5-23.
  7. Secondary instabilities of hexagons: a bifurcation analysis of experimentally observed Faraday wave patterns, by A.M. Rucklidge, M. Silber and J. Fineberg. In Bifurcations, Symmetry and Patterns (eds. J. Buescu, S.B.S.D. Castro, A.P.S. Dias and I.S. Labouriau) Birkhauser: Basel (2003) 101-114.
  8. A heteroclinic model of geodynamo reversals and excursions, by I. Melbourne, M.R.E.Proctor and A.M. Rucklidge. In Dynamo and Dynamics, a Mathematical Challenge (eds. P. Chossat, D. Armbruster and I. Oprea) Kluwer: Dordrecht (2001) 363-370.
  9. Numerical studies of pattern formation in three-dimensional magnetoconvection, by N.O. Weiss, A.M. Rucklidge, M.R.E.Proctor, P.C. Matthews and D.P. Brownjohn. Prog. Theor. Phys. Suppl. 138 (2000) 674-683.
  10. Heating the atmosphere above sunspots, by D. Alexander, N.E. Hurlburt and A.M. Rucklidge. In Plasma Dynamics and Diagnostics in the Solar Transition Region and Corona (Proceedings of the 8th SOHO Workshop) (eds. J.-C. Vial and B. Kaldeich-Schurmann) ESA SP-446: Noordwijk (1999) 117-122.
  11. The shearing instability in magnetoconvection, by A.M. Rucklidge and P.C. Matthews. In Double-Diffusive Convection (eds. A. Brandt and H.J.S. Fernando) American Geophysical Union: Washington (1995) 171-184.
  12. Nonlinear three-dimensional magnetoconvection in a compressible atmosphere, by P.C. Matthews, M.R.E. Proctor, A.M. Rucklidge and N.O. Weiss. In Solar Magnetic Fields (eds. M. Schussler and W. Schmidt) Cambridge University Press: Cambridge (1994) 279--281.
  13. Shearing instabilities in magnetoconvection, by A.M. Rucklidge and P.C. Matthews. In Solar and Planetary Dynamos (eds. M.R.E. Proctor, P.C. Matthews and A.M. Rucklidge) Cambridge University Press: Cambridge (1993) 257-264.

Book Edited

  1. Solar and Planetary Dynamos, M.R.E. Proctor, P.C. Matthews and A.M. Rucklidge, eds. Cambridge University Press: Cambridge (1993).

Book Reviews

  1. Patterns and interfaces in dissipative dynamics, by L. Pismen (Springer 2006). In Mathematical Reviews MR2235817 and in UK Nonlinear News.
  2. Geometric Theory of Incompressible Flows with Applications to Fluid Dynamics, by T. Ma and S. Wang (AMS 2005). In Mathematical Reviews MR2165493 and in UK Nonlinear News. Note: the original Mathematical Review was altered at the request of the authors of the book; following this, I withdrew from writing Mathematical Reviews.
  3. Evolution of Spontaneous Structures in Dissipative Continuous Systems edited by F.H. Busse and S.C. Mueller (Springer 1998). Review published in J. Fluid Mech. 447 (2001) 409-410.
  4. Perspectives of Nonlinear Dynamics, by E.A. Jackson (Cambridge University Press 1990). Review published in Earth-Science Reviews 34 (1993) 69-70.

Mathematical Reviews

  1. Search database

Integer Sequences

  1. 1, 1, 4, 20, 2, 3, 1, 6, 10, 5, 2, 2, 1, 2, 2, 1, 18, 1, 1, 3, 2, 1, 2, 1, 2, 1, 39, ... (see the On-Line Encyclopedia of Integer Sequences A039921). These integers arise in the approximation of 14-fold quasipatterns by 14 Fourier modes, and are the continued fraction coefficients for w = 2*cos(2pi/14) = 1.80193773580483825..., where w satisfies w^3 - w^2 - 2w + 1 = 0.
  2. 1, 4, 20, 39, 94, 636, 699, 716, 904, 1374, 1824, 2457, 24007, ... (see the On-Line Encyclopedia of Integer Sequences A072977). These are the increasing integers from the above.

Radio Interview

  1. Interview with Quentin Cooper and Professor Steve Strogatz on BBC Radio 4's The Material World (27 May 2004).
Several of my papers can be found in the White Rose Consortium ePrints Repository, Symplectic publications, ResearcherID, arxiv.org (old link to arxiv.org) and on the Smithsonian/NASA Astrophysics Data System (ADS), and some been reviewed at MathSciNet. You can also find some of my papers on Google Scholar.