Alastair Rucklidge: list of publications
Refereed Articles (see also
ResearcherID)
 Threedimensional Icosahedral Phase Field Quasicrystal,
by P. Subramanian, A.J. Archer, E. Knobloch and A.M. Rucklidge.
Physical Review Letters 117 (2016) 075501.
Link to pdf and
doi:10.1103/PhysRevLett.117.075501
This paper is an Editors' Suggestion.
Priya Subramanian has written
an article
on this work for The Conversation UK.
 Softcore particles freezing to form a
quasicrystal and a crystalliquid phase,
by A.J. Archer, A.M. Rucklidge and E. Knobloch.
Physical Review E (2015).
Link to pdf and
doi:10.1103/PhysRevE.92.012324
This paper is an Editors' Suggestion.
 Can weakly nonlinear theory explain Faraday wave patterns near onset?, by
A. C. Skeldon and A. M. Rucklidge. J. Fluid Mech 777 (2015) 604632.
Link to pdf and
doi:10.1017/jfm.2015.388
 Role of Luddism on Innovation Diffusion by
Andrew Mellor, Mauro Mobilia, Sidney Redner, Alastair M. Rucklidge,
Jonathan A. Ward.
Physical Review E 92 (2015) 012806.
Link to pdf and
doi:10.1103/PhysRevE.92.012806
 Localized patterns in periodically forced systems by
A.S. Alnahdi, J. Niesen and A.M. Rucklidge.
SIAM J. Applied Dynamical Systems 13 (2014) 13111327.
This paper is dedicated to the memory of Thomas Wagenknecht.
Link to pdf and
doi:10.1137/130948495
 Cyclic dominance in evolutionary games: A review, by
Attila Szolnoki, Mauro Mobilia, LuoLuo Jiang, Bartosz Szczesny,
Alastair M. Rucklidge and Matja Perc.
J. R. Soc. Interface 11 (2014) 20140735.
Link to pdf and
doi:10.1098/rsif.2014.0735
 Characterization of spiraling patterns
in spatial rockpaperscissors games by
Bartosz Szczesny, Mauro Mobilia and Alastair M. Rucklidge.
Phys. Rev. E 90 (2014) 032704.
Link to pdf and
doi:10.1103/PhysRevE.90.032704
 Modeling diffusion of energy innovations on a
heterogeneous social network and approaches to
integration of realworld data by
Catherine S.E. Bale, Nicholas J. McCullen, Timothy J. Foxon, Alastair M.
Rucklidge and William F. Gale.
Complexity 19 (2014) 8394.
doi:10.1002/cplx.21523
 Quasicrystalline order and a
crystalliquid state in a softcore fluid,
by A.J. Archer, A.M. Rucklidge and E. Knobloch.
Physical Review Letters 111 (2013) 165501.
Link to pdf and
doi:10.1103/PhysRevLett.111.165501
 When does
cyclic dominance lead to stable spiral waves? by
Bartosz Szczesny, Mauro Mobilia and Alastair M. Rucklidge.
EPL 102 (2013) 28012.
doi:10.1209/02955075/102/28012
 Harnessing social networks for promoting adoption of energy technologies
in the domestic sector, by
Catherine S.E. Bale, Nicholas J. McCullen, Timothy J. Foxon, Alastair M.
Rucklidge and William F. Gale.
Energy Policy 63 (2013) 833844.
doi:10.1016/j.enpol.2013.09.033
 Multiparameter 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) 515532.
Link to pdf and
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) 13601401.
Link to pdf and
doi:10.1137/120864684
 Threewave interactions and
spatiotemporal chaos, by
A.M. Rucklidge, M. Silber and A.C. Skeldon.
Physical Review Letters 108 (2012) 074504.
Link to pdf and
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) 701709.
doi:10.1080/03091929.2011.643236
 Skewvaricose instability in two dimensional generalized
SwiftHohenberg equations, by
J.A. Weliwita, A.M. Rucklidge and S.M. Tobias.
Phys. Rev. E 84 (2011) 036201.
Link to pdf and
doi:10.1103/PhysRevE.84.036201
 Nonlinear
threedimensional magnetoconvection around magnetic flux tubes, by
G.J.J. Botha, A.M. Rucklidge and N.E. Hurlburt.
Astrophysical J. 731 (2011) 108.
doi:10.1088/0004637X/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) 323349.
doi:10.1080/14689361003779134
 On the existence of quasipattern solutions of the
SwiftHohenberg equation, by
G. Iooss and A.M. Rucklidge. J. Nonlinear Science 20 (2010) 361394.
doi:10.1007/s0033201090630
 Design of parametrically forced
patterns and quasipatterns, by
A.M. Rucklidge and M. Silber.
SIAM J. Applied Dynamical Systems 8 (2009) 298347.
Link to pdf and
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) 4374.
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) 14451462.
doi:10.1111/j.13652966.2008.13359.x
 Quasipatterns in parametrically
forced systems, by
A.M. Rucklidge and M. Silber.
Phys. Rev. E 75 (2007) 055203(R).
Link to pdf and
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) L27L30.
 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) 16111624.
doi:10.1111/j.13652966.2006.10480.x
 Mean flow instabilities of
twodimensional convection in strong magnetic fields, by
A.M. Rucklidge, M.R.E. Proctor and J. Prat.
Geophys. Astrophys. Fluid Dynamics 100 (2006) 121137.
doi:10.1080/03091920600565595
 Cycling
chaotic attractors in two models for dynamics with
invariant subspaces, by
Peter Ashwin,
A.M. Rucklidge and
Rob Sturman.
Chaos 14 (2004) 571582.
doi:10.1063/1.1769111
 Twostate intermittency
near a symmetric interaction of saddlenode and Hopf bifurcations:
a case study from dynamo theory, by
Peter Ashwin,
A.M. Rucklidge and
Rob Sturman.
Physica D 194 (2004) 3048.
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) 282296.
10.1016/j.physd.2003.12.003
 Pattern formation in large domains, by
A.M. Rucklidge.
Phil. Trans. R. Soc. Lond. A
361 (2003) 26492664.
doi:10.1098/rsta.2003.1267
 Convergence properties of the
8, 10 and 12 mode representations of quasipatterns, by
A.M. Rucklidge and
W.J. Rucklidge.
Physica D
178 (2003) 6282.
doi:10.1016/S01672789(02)007923
 Phase
resetting effects for robust cycles between chaotic sets, by
Peter Ashwin,
Michael Field,
A.M. Rucklidge and
Rob Sturman.
Chaos 13 (2003) 973981.
doi:10.1063/1.1586531
 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) 615645.
doi:10.1088/09517715/16/2/315
 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).
Link to pdf and
doi:10.1103/PhysRevE.66.035201
 Complete models of axisymmetric
sunspots: magnetoconvection with coronal heating, by
N.E. Hurlburt,
D. Alexander
and A.M. Rucklidge.
Ap. J.,
577 (2002) 9931005.
 Global bifurcations in the TakensBogdanov
normal form with D_4 symmetry near the O(2) limit, by
A.M. Rucklidge.
Phys. Lett. A
284 (2001) 99111.
doi:10.1016/S03759601(01)002766
 Spatial periodmultiplying
instabilities of hexagonal Faraday waves, by
D.P. Tse,
A.M. Rucklidge,
R.B. Hoyle
and
M. Silber.
Physica D
146 (2000) 367387.
doi:10.1016/S01672789(00)00124X
 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) 283323.
Link to pdf and
doi:10.1017/S0022112000001373
 Solar
magnetoconvection, by
N.E. Hurlburt,
P.C. Matthews
and A.M. Rucklidge.
Solar Physics
192 (2000) 109118.
doi:10.1023/A:1005239617458
 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) 793806.
doi:10.1046/j.13658711.2000.03407.x
 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) 42054222.
doi:10.1098/rspa.1999.0498
 Bifurcations of periodic orbits
with spatiotemporal symmetries, by A.M. Rucklidge and
M. Silber.
Nonlinearity 11 (1998) 14351455.
doi:10.1088/09517715/11/5/015
 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) 134154.
doi:10.1016/S01672789(98)001742
 Modelling photospheric
magnetoconvection, by
S.M. Blanchflower,
A.M. Rucklidge and
N.O. Weiss.
Mon. Not. R. Astron. Soc.
301 (1998) 593608.
 Symmetrybreaking instabilities of
convection in squares, by A.M. Rucklidge.
Proc. R. Soc. Lond. A
453 (1997) 107118.
doi:10.1098/rspa.1997.0007
 Analysis of the shearing instability in
nonlinear convection and magnetoconvection, by A.M. Rucklidge and
P.C. Matthews.
Nonlinearity 9 (1996) 311351.
doi:10.1088/09517715/9/2/003
 The threedimensional
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) 13501352.
doi:10.1063/1.868943
 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) 491498.
 Chaos in magnetoconvection,
by A.M. Rucklidge.
Nonlinearity 7 (1994) 15651591.
doi:10.1088/09517715/7/6/003
 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) 6975.
 Travelling and standing waves in magnetoconvection,
by P.C. Matthews and A.M. Rucklidge.
Proc. R. Soc. Lond. A 441 (1993) 649658.
 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) 133150.
 Chaos in a loworder model of magnetoconvection,
by A.M. Rucklidge.
Physica D 62 (1993) 323337.
 Chaos in models of double convection,
by A.M. Rucklidge.
J. Fluid Mech. 237 (1992) 209229.
Link to pdf and
doi:10.1017/S0022112092003392
 A microcanonical model for interface formation,
by A.M. Rucklidge and S. Zaleski.
J. Stat. Phys. 51 (1988) 299307.
 Nearinfrared photoreceptor devices incorporating evaporated
chloroindium phthalocyanine,
by R.O. Loutfy, A.M. Hor and A.M. Rucklidge.
J. Imaging Sci. 31 (1987) 3137.
Conference Proceedings
 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).
 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) 507509.
doi:10.1017/S1743921307001019
 Numerical simulations of
rotating sunspots, by
G.J.J. Botha, A.M. Rucklidge, F.H. Busse and N.E. Hurlburt.
In SOHO17: 10 Years of SOHO and Beyond
(ed. H. Lacoste)
ESA SP617: Noordwijk (2006) 29.
 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 P2.062 (2004).
 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) 124139.
 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) 523.
 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) 101114.
 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) 363370.
 Numerical studies of pattern formation in
threedimensional 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) 674683.
 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. KaldeichSchurmann)
ESA SP446: Noordwijk (1999) 117122.
 The shearing instability in
magnetoconvection, by A.M. Rucklidge and
P.C. Matthews.
In DoubleDiffusive Convection
(eds. A. Brandt and H.J.S. Fernando)
American Geophysical Union: Washington (1995) 171184.
 Nonlinear threedimensional 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) 279281.
 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) 257264.
Book Edited
 Solar and Planetary Dynamos,
M.R.E. Proctor, P.C. Matthews and A.M. Rucklidge, eds.
Cambridge University Press: Cambridge (1993).
Book Reviews
 Patterns and interfaces in dissipative dynamics,
by L. Pismen (Springer 2006).
In Mathematical Reviews MR2235817
and in UK Nonlinear News.
 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.
 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) 409410.
 Perspectives of Nonlinear Dynamics, by E.A. Jackson (Cambridge
University Press 1990).
Review published in EarthScience Reviews 34 (1993) 6970.
Mathematical Reviews
 Search database
Integer Sequences
 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 OnLine Encyclopedia of Integer Sequences
A039921).
These integers arise in the approximation of 14fold 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.
 1, 4, 20, 39, 94, 636, 699, 716, 904, 1374, 1824, 2457, 24007, ...
(see the OnLine Encyclopedia of Integer Sequences
A072977).
These are the increasing integers from the above.
Radio Interview
 Interview with Quentin Cooper and
Professor Steve Strogatz on BBC Radio 4's
The Material World
(27 May 2004).
YouTube: University lectures for secondary schools
 Reduction of Order:
part 1 and
part 2.
 Rational Functions:
part 1 and
part 2.
 Secondorder differential equations:
Homogeneous, and
Inhomogeneous part 1
part 2 and
part 3
Several of my papers can be found in the
White Rose Consortium ePrints Repository,
Symplectic publications,
ResearcherID,
ORCiD,
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.
