Items where authors include "Rucklidge, AM"
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Tumelty, J, Beaume, C and Rucklidge, AM (2023) Towards Convectons in the Supercritical Regime: Homoclinic Snaking in Natural Doubly Diffusive Convection. SIAM Journal on Applied Dynamical Systems, 22 (3). pp. 1710-1742. ISSN 1536-0040
Archer, AJ, Dotera, T and Rucklidge, AM orcid.org/0000-0003-2985-0976 (2022) Rectangle--triangle soft-matter quasicrystals with hexagonal symmetry. Physical Review E, 106 (4). 044602. ISSN 2470-0045
Postlethwaite, CM and Rucklidge, AM orcid.org/0000-0003-2985-0976 (2022) Stability of cycling behaviour near a heteroclinic network model of Rock-Paper-Scissors-Lizard-Spock. Nonlinearity, 35 (4). 1702. ISSN 0951-7715
Beaume, C, Rucklidge, AM orcid.org/0000-0003-2985-0976 and Tumelty, J (2022) Near-onset dynamics in natural doubly diffusive convection. Journal of Fluid Mechanics, 934. A42. ISSN 0022-1120
Li, X, Mobilia, M orcid.org/0000-0002-1424-567X, Rucklidge, AM orcid.org/0000-0003-2985-0976 et al. (1 more author) (2022) Effects of homophily and heterophily on preferred-degree networks: mean-field analysis and overwhelming transition. Journal of Statistical Mechanics: Theory and Experiment, 2022 (1). 013402. ISSN 1742-5468
Li, X, Mobilia, M orcid.org/0000-0002-1424-567X, Rucklidge, AM orcid.org/0000-0003-2985-0976 et al. (1 more author) (2021) How does homophily shape the topology of a dynamic network? Physical Review E, 104 (4). 044311. ISSN 2470-0045
Bentley, DC and Rucklidge, AM orcid.org/0000-0003-2985-0976 (2021) Localized patterns in a generalized Swift–Hohenberg equation with a quartic marginal stability curve. IMA Journal of Applied Mathematics, 86 (5). pp. 944-983. ISSN 0272-4960
Subramanian, P, Archer, AJ, Knobloch, E et al. (1 more author) (2021) Snaking without subcriticality: grain boundaries as non-topological defects. IMA Journal of Applied Mathematics, 86 (5). pp. 1164-1180. ISSN 0272-4960
Alrihieli, H, Rucklidge, AM orcid.org/0000-0003-2985-0976 and Subramanian, P (2021) Spatial localisation beyond steady states in the neighbourhood of the Takens-Bogdanov bifurcation. IMA Journal of Applied Mathematics, 86 (5). pp. 984-1009. ISSN 0272-4960
Hasan, CR, Osinga, HM, Postlethwaite, CM et al. (1 more author) (2021) Spatiotemporal stability of periodic travelling waves in a heteroclinic-cycle model. Nonlinearity, 34 (8). pp. 5576-5598. ISSN 0951-7715
Subramanian, P, Ratliff, DJ, Rucklidge, AM orcid.org/0000-0003-2985-0976 et al. (1 more author) (2021) Density Distribution in Soft Matter Crystals and Quasicrystals. Physical Review Letters, 126 (21). 218003. ISSN 0031-9007
Castelino, JK orcid.org/0000-0002-8341-0018, Ratliff, DJ, Rucklidge, AM orcid.org/0000-0003-2985-0976 et al. (2 more authors) (2020) Spatiotemporal chaos and quasipatterns in coupled reaction–diffusion systems. Physica D: Nonlinear Phenomena, 409. 132475. ISSN 0167-2789
Ratliff, DJ, Archer, AJ, Subramanian, P orcid.org/0000-0001-7971-2091 et al. (1 more author) (2019) Which Wave Numbers Determine the Thermodynamic Stability of Soft Matter Quasicrystals? Physical Review Letters, 123 (14). 148004. ISSN 0031-9007
Archer, AJ, Ratliff, DJ, Rucklidge, AM orcid.org/0000-0003-2985-0976 et al. (1 more author) (2019) Deriving phase field crystal theory from dynamical density functional theory: Consequences of the approximations. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 100 (2). 022140. ISSN 1539-3755
Postlethwaite, CM and Rucklidge, AM orcid.org/0000-0003-2985-0976 (2019) A trio of heteroclinic bifurcations arising from a model of spatially-extended Rock-Paper-Scissors. Nonlinearity, 32 (4). pp. 1375-1407. ISSN 0951-7715
Subramanian, P orcid.org/0000-0001-7971-2091, Archer, AJ, Knobloch, E et al. (1 more author) (2018) Spatially localized quasicrystalline structures. New Journal of Physics, 20. ARTN 122002. ISSN 1367-2630
Alnahdi, AS, Niesen, J orcid.org/0000-0002-6693-3810 and Rucklidge, AM orcid.org/0000-0003-2985-0976 (2018) Localized Patterns in Periodically Forced Systems: II. Patterns with Non-Zero Wavenumber. SIAM Journal on Applied Dynamical Systems, 17 (2). pp. 1478-1502. ISSN 1536-0040
West, R, Mobilia, M orcid.org/0000-0002-1424-567X and Rucklidge, AM orcid.org/0000-0003-2985-0976 (2018) Survival behavior in the cyclic Lotka-Volterra model with a randomly switching reaction rate. Physical Review E, 97 (2). 022406. ISSN 2470-0045
Rucklidge, AM orcid.org/0000-0003-2985-0976 and Postlethwaite, CM (2017) Spirals and heteroclinic cycles in a spatially extended Rock-Paper-Scissors model of cyclic dominance. EPL, 117 (4). 48006. ISSN 0295-5075
Rucklidge, AM orcid.org/0000-0003-2985-0976 and Knobloch, E (2017) Chaos in the Takens-Bogdanov bifurcation with O(2) symmetry. Dynamical Systems, 32 (3). pp. 354-373. ISSN 1468-9367
Mobilia, M, Rucklidge, AM orcid.org/0000-0003-2985-0976 and Szczesny, B (2016) The Influence of Mobility Rate on Spiral Waves in Spatial Rock-Paper-Scissors Games. Games, 7 (3). 24. ISSN 2073-4336
Subramanian, P orcid.org/0000-0001-7971-2091, Archer, AJ, Knobloch, E et al. (1 more author) (2016) Three-dimensional Icosahedral Phase Field Quasicrystal. Physical Review Letters, 117 (7). 075501. ISSN 0031-9007
Skeldon, AC and Rucklidge, AM (2015) Can weakly nonlinear theory explain Faraday wave patterns near onset? Journal of Fluid Mechanics, 777. 604 - 632. ISSN 0022-1120
Archer, AJ, Rucklidge, AM and Knobloch, E (2015) Soft-core particles freezing to form a quasicrystal and a crystal-liquid phase. Physical Review E, 92. 012324. ISSN 1539-3755
Mellor, A, Mobilia, M, Redner, S et al. (2 more authors) (2015) Influence of Luddism on innovation diffusion. Physical Review E, 92. 012806. ISSN 1539-3755
Szolnoki, A, Mobilia, M, Jiang, LL et al. (3 more authors) (2014) Cyclic dominance in evolutionary games: A review. Journal of the Royal Society Interface, 11 (100). 20140735. ISSN 1742-5689
Szczesny, B, Mobilia, M and Rucklidge, AM (2014) Characterization of spiraling patterns in spatial rock-paper-scissors games. Physical Review E: Statistical, Nonlinear, and Soft Matter Physics, 90 (3). 032704. ISSN 1539-3755
Alnahdi, AS, Niesen, J, Rucklidge, AM et al. (1 more author) (2013) Localized patterns in periodically forced systems.
Bale, CSE, Gale, WF orcid.org/0000-0002-9627-7287, McCullen, NJ et al. (2 more authors) (2013) Harnessing social networks for promoting adoption of energy technologies in the domestic sector. Energy Policy, 63. 833 - 844 (12). ISSN 0301-4215
Archer, AJ, Rucklidge, AM and Knobloch, E (2013) Formation of quasicrystals and other exotic crystal structures in a soft-core fluid: a tale of two length scales.
McCullen, NJ, Rucklidge, AM, Bale, CSE et al. (2 more authors) (2013) Multiparameter Models of Innovation Diffusion on Complex Networks. SIAM Journal on Applied Dynamical Systems, 12 (1). 515 - 532 (18). ISSN 1536-0040
Szczesny, B, Mobilia, M and Rucklidge, AM (2012) When does cyclic dominance lead to stable spiral waves? Europhysics Letters, 102 (2). ISSN 0295-5075
Kirk, V, Postlethwaite, C and Rucklidge, AM (2012) Resonance bifurcations of robust heteroclinic networks. SIAM Journal on Applied Dynamical Systems, 11 (4). 1360 - 1401 . ISSN 1536-0040
Rucklidge, AM, Silber, M and Skeldon, AC (2012) Three-wave interactions and spatiotemporal chaos. Physical Review Letters, 108 (7). ISSN 0031-9007
Weliwita, JA, Rucklidge, AM and Tobias, SM (2011) Skew-varicose instability in two-dimensional generalized Swift-Hohenberg equations. Physical Review E, 84 (3). ISSN 1539-3755
Weliwita, JA, Rucklidge, AM and Tobias, SM (2011) Skew-varicose instability in two-dimensional generalized Swift-Hohenberg equations. Physical Review E, 84 (3). ISSN 1539-3755
Botha, GJJ, Rucklidge, AM and Hurlburt, NE (2011) Nonlinear three-dimensional magnetoconvection around magnetic flux tubes. The Astrophysical Journal, 731 (2). ISSN 0004-637X
Kirk, V, Lane, E, Postlethwaite, CM et al. (2 more authors) (2010) A mechanism for switching near a heteroclinic network. Dynamical Systems, 25 (3). 323 - 349 . ISSN 1468-9367
Botha, GJJ, Busse, FH, Hurlburt, NE et al. (1 more author) (2008) Numerical simulations of rotating axisymmetric sunspots. Monthly notices of the Royal Astronomical Society, 387 (4). 1445 - 1462 . ISSN 0035-8711
Kirk, V and Rucklidge, AM orcid.org/0000-0003-2985-0976 (2008) The effect of symmetry breaking on the dynamics near a structurally stable heteroclinic cycle between equilibria and a periodic orbit. Dynamical Systems, 23 (1). pp. 43-74. ISSN 1468-9367
Rucklidge, AM orcid.org/0000-0003-2985-0976 and Silber, M (2007) Quasipatterns in parametrically forced systems. Physical Review E: Statistical, Nonlinear, and Soft Matter Physics, 75 (5). 055203(R). ISSN 1539-3755
Rucklidge, AM orcid.org/0000-0003-2985-0976 and Champneys, AR (2004) Boundary effects and the onset of Taylor vortices. Physica D - Nonlinear Phenomena, 191 (3-4). pp. 282-296. ISSN 0167-2789
Rucklidge, AM and Rucklidge, WJ (2003) Convergence properties of the 8, 10 and 12 mode representations of quasipatterns. Physica D: Nonlinear Phenomena, 178 (1-2). pp. 62-82. ISSN 0167-2789
Tse, DP, Rucklidge, AM, Hoyle, RB et al. (1 more author) (2000) Spatial period-multiplying instabilities of hexagonal Faraday waves. Physica D: Nonlinear Phenomena, 146 (1-4). pp. 367-387. ISSN 1872-8022
Ashwin, P and Rucklidge, AM (1998) Cycling Chaos: Its Creation, Persistence and Loss of Stability in a Model of Nonlinear Magnetoconvection. Physica D: Nonlinear Phenomena, 122 (1-4). pp. 134-154. ISSN 0167-2789
Rucklidge, AM and Silber, M (1997) Instabilities of periodic orbits with spatio-temporal symmetries. Nonlinearity, 11. 1435 - 1455 . ISSN 0951-7715
Rucklidge, AM (1996) Symmetry-breaking instabilities of convection in squares. Proceedings of the Royal Society A: Mathematical, Physical & Engineering Science, 453 (1956). 107 - 118 . ISSN 1364-5021
Book Section
Rucklidge, AM, Silber, M and Fineberg, J (2003) Secondary instabilities of hexagons: a bifurcation analysis of experimentally observed Faraday wave patterns. In: Buescu, EJ, Castro, SBSD, Dias, APS and Labouriau, IS, (eds.) Bifurcations, Symmetry and Patterns. Trends in Mathematics . Birkhauser Verlag , 101 - 114 . ISBN 978-3-7643-7020-6
Melbourne, I, Proctor, MRE and Rucklidge, AM (2001) A Heteroclinic model of geodynamo reversals and excursions. In: Chossat, EP, Armbruster, D and Oprea, I, (eds.) Dynamo and Dynamics, a Mathematical Challenge. NATO Science Series II: Mathematics, Physics & Chemistry . Kluwer: Dordrecht , 363 - 370 . ISBN 978-0-7923-7069-7
Conference or Workshop Item
Ratliff, D, Archer, AJ, Subramanian, P et al. (1 more author) (2021) How to determine thermodynamically stable soft matter quassicrystals efficiently? In: 25th IUCr Congress, 14-22 Aug 2021, Prague, Czech Republic.
Botha, GJJ, Rucklidge, AM and Hurlburt, NE (2004) Dynamics of convection around axisymmetric magnetic flux tubes. In: 31st EPS Conference on Plasma Physics, 28 Jun - 02 Jul 2004, London.