School of Mathematics

Prof Alastair M Rucklidge

Professor of Applied Mathematics
Head of Applied Maths

Contact details

Room: 8.17f
Tel: +44 (0)113 3435161
Email: A.M.Rucklidge @ leeds.ac.uk

Keywords

Pattern formation
Mode interactions
Quasipatterns
Spatio-temporal chaos
Nonlinear and chaotic dynamics
Heteroclinic networks
Dynamo theory
Magnetoconvection

Research interests

Regular patterns are ubiquitous in nature, and their formation and stability is governed by the intricate interactions of symmetry and nonlinearity. My research aims to understand how the nonlinear interaction of waves in different directions leads to the formation of (for example) quasipatterns (one of the outstanding problems of pattern formation), spatio-temporal chaos and other forms of chaotic dynamics. My work ranges from quantitative explanations of fluid dynamics experiments and large-scale numerical solutions of the equations for convection with magnetic fields, through developing new models for understanding mode interactions, to new ideas on heteroclinic networks, and existence proofs for quasipatterns.

Useful links

Personal research web page
Link to papers on arXiv.org
Link to papers on NASA ADS

Postgraduate students

Abeer Al-Nahdi (2011)
Bartosz Szczesny (2010)

Selected publications

Three-wave interactions and spatio-temporal chaos in the Faraday wave experiment, by A.M. Rucklidge, M. Silber and A.C. Skeldon. Submitted to Physical Review Letters (2011).

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