Alastair Rucklidge

Research Interests Publications Curriculum Vitae Collaborators Teaching

> MATH3396/5395M Dynamical Systems > MAGIC059 Dynamical Systems I (Flows)

Projects in Applied Mathematics Leeds Applied Nonlinear Dynamics seminars Fluids and MHD seminars Applied Maths seminars UK Nonlinear News

A.M.Rucklidge at leeds.ac.uk
Professor of Applied Mathematics
Head of Department of Applied Mathematics

Department of Applied Mathematics
University of Leeds
Leeds LS2 9JT, UK
+44 113 343 5161

On the Management Committee of the MAGIC consortium for graduate-level teaching.

Co-organiser (with Peter Ashwin) of the Access Grid Dynamics Seminar.

Member of Council of the UK Mathematics Trust.

PANDA: Patterns, Nonlinear Dynamics and Applications, supported by the London Mathematical Society.

Coming up: PANDA meeting in Nottingham, 19 April 2013.

Research interests:

I am willing to take PhD students - please click here for some potential PhD topics. A full list of PhD topics in the Department of Applied Mathematics can be found here.

New: CASE studentship for a PhD on the project "Monitoring and modelling social networks in the digital economy" Please apply as soon as possible.

Selected and Recent Papers (complete list)

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
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.
When does cyclic dominance lead to stable spiral waves? by Bartosz Szczesny, Mauro Mobilia and Alastair M. Rucklidge.
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.
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
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
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
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
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
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.
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
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.
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
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.
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
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
Chaos in magnetoconvection, by A.M. Rucklidge. Nonlinearity 7 (1994) 1565-1591. doi:10.1088/0951-7715/7/6/003

Click here for a complete list of publications. Several of my papers can be found in the White Rose Consortium ePrints Repository, Symplectic publications, ResearcherID, arxiv.org (old link to arxiv.org), ResearchGate 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 (including citation statistics). My EPSRC (past and current) and STFC (current) grants are on the web. You can find my entry on the Mathematics Genealogy Project. My Erdos number is 4. I am on LinkedIn and ResearchGate.

Alastair Rucklidge

Selected and Recent Papers (complete list)

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