Alastair Rucklidge

Selected and Recent Papers (complete list)

• A mechanism for switching near a heteroclinic network, by Vivien Kirk, Emily Lane, Claire M. Postlethwaite, Alastair M. Rucklidge and Mary Silber. Submitted to Dynamical Systems: An International Journal.
• On the existence of quasipattern solutions of the Swift-Hohenberg equation, by G. Iooss and A.M. Rucklidge. Submitted to J. Nonlinear Science.
• 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 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
• 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
• 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
• 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.
• 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
• 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
• 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
• 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
• 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
• 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
• 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
• 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
• 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
• 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.
• Chaos in magnetoconvection, by A.M. Rucklidge. Nonlinearity 7 (1994) 1565-1591. doi:10.1088/0951-7715/7/6/003

Other links

• Some of my/Bev's photographs can be found here, here, here, here and here.
• My brother, Andrew Rucklidge, is a painter, and some of his paintings can be found here.
• Take a look at the Rucklidgeite Gallery or Rucklidgeite, Rock of the Month, January 2007