Research outputs per year
Research outputs per year
- 32 results
Search results
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2024
Quantum backflow current in a ring: Optimal bounds and fractality
Goussev, A., Quinque, F., Joo, J. & Burbanks, A., 12 Aug 2024, In: Physical Review A. 110, 2, 11 p., 022216.Research output: Contribution to journal › Article › peer-review
Open AccessFile17 Downloads (Pure) -
2023
A hybrid spatiotemporal model of PCa dynamics and insights into optimal therapeutic strategies
Burbanks, A., Cerasuolo, M., Ronca, R. & Turner, L., 1 Jan 2023, In: Mathematical Biosciences. 355, 17 p., 108940.Research output: Contribution to journal › Article › peer-review
Open AccessFile47 Downloads (Pure) -
Existence of the FS-type renormalisation fixed point for unidirectionally-coupled pairs of maps
Burbanks, A. D. & Osbaldestin, A. H., 20 Apr 2023, In: Journal of Physics A: Mathematical and Theoretical. 56, 17 p., 195202.Research output: Contribution to journal › Article › peer-review
Open AccessFile39 Downloads (Pure) -
2021
Mathematical insights into neuroendocrine transdifferentiation of human prostate cancer cells
Turner, L., Burbanks, A. & Cerasuolo, M., 1 Sept 2021, In: Nonlinear Analysis: Modelling and Control. 26, 5, p. 884-913 30 p.Research output: Contribution to journal › Article › peer-review
Open AccessFile62 Downloads (Pure) -
PCa dynamics with neuroendocrine differentiation and distributed delay
Turner, L., Burbanks, A. & Cerasuolo, M., 8 Oct 2021, In: Mathematical Biosciences and Engineering. 18, 6, p. 8577-8602 26 p.Research output: Contribution to journal › Article › peer-review
Open AccessFile84 Downloads (Pure) -
Rigorous computer-assisted bounds on the period doubling renormalisation fixed point and eigenfunctions in maps with critical point of degree 4
Burbanks, A., Osbaldestin, A. & Thurlby, J., 30 Nov 2021, In: Journal of Mathematical Physics. 62, 11, 18 p., 112701.Research output: Contribution to journal › Article › peer-review
Open AccessFile60 Downloads (Pure) -
2014
Microscopic superfluidity in 4He clusters stirred by a rotating impurity molecule
Wairegi, A., Gamboa, A., Burbanks, A., Lee, E. A. & Farrelly, D., 11 Apr 2014, In: Physical Review Letters. 112, 14, 143401.Research output: Contribution to journal › Article › peer-review
Open AccessFile209 Downloads (Pure) -
Nonlinear response of a linear chain to weak driving
Hennig, D., Mulhern, C., Burbanks, A. & Schimansky-Geier, L., 8 Jan 2014, In: Physical Review E. 89, 1, 012906.Research output: Contribution to journal › Article › peer-review
Open AccessFile185 Downloads (Pure) -
2013
A graph-theoretic condition for irreducibility of a set of cone preserving matrices
Banaji, M. & Burbanks, A., 1 Jun 2013, In: Linear Algebra and its Applications. 438, 11, p. 4103-4113 11 p.Research output: Contribution to journal › Article › peer-review
File121 Downloads (Pure) -
From strong chaos via weak chaos to regular behaviour: optimal interplay between chaos and order
Hennig, D., Mulhern, C. & Burbanks, A., 15 Jun 2013, In: Physica D: Nonlinear Phenomena. 253, p. 102-110 9 p.Research output: Contribution to journal › Article › peer-review
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The coupled dynamics of two particles with different limit sets
Mulhern, C., Hennig, D. & Burbanks, A., Apr 2013, In: The European Physical Journal B. 86, 4, p. 185-190Research output: Contribution to journal › Article › peer-review
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2012
Explicit construction of an autonomous Hamiltonian system exhibiting continual directed flow
Burbanks, A., Hennig, D., Mulhern, C. & Osbaldestin, A., 12 Jul 2012, In: Physics Letters A. 376, 34, p. 2283-2287 5 p.Research output: Contribution to journal › Article › peer-review
Open AccessFile192 Downloads (Pure) -
2011
Current reversals and current suppression in an open two-degree-of-freedom system
Mulhern, C., Hennig, D., Burbanks, A. & Osbaldestin, A., 17 Jun 2011, In: Physical Review E. 83, 6, p. 066207 1 p.Research output: Contribution to journal › Article › peer-review
Open AccessFile199 Downloads (Pure) -
Directed current in the Holstein system
Hennig, D., Burbanks, A. & Osbaldestin, A., 18 Mar 2011, In: Physical Review E. 83, 3, p. 031121 1 p.Research output: Contribution to journal › Article › peer-review
Open AccessFile131 Downloads (Pure) -
From collective periodic running states to completely chaotic synchronised states in coupled particle dynamics
Hennig, D., Burbanks, A., Osbaldestin, A. & Mulhern, C., 2011, In: Chaos. 21, p. 023132 1 p.Research output: Contribution to journal › Article › peer-review
Open AccessFile120 Downloads (Pure) -
2010
Avalanches in a nonlinear oscillator chain in a periodic potential
Hennig, D., Burbanks, A. & Osbaldestin, A., 2010, In: The European Physical Journal Special Topics. 187, 1, p. 145-156 12 p.Research output: Contribution to journal › Article › peer-review
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Directing particle transport in a two-dimensional periodic potential landscape
Hennig, D., Burbanks, A. & Osbaldestin, A., 2010, In: Chemical Physics. 375, 2-3, p. 492-502 11 p.Research output: Contribution to journal › Article › peer-review
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Emergence of continual directed flow in Hamiltonian systems
Hennig, D., Burbanks, A., Mulhern, C. & Osbaldestin, A., 2010, In: Physical Review E. 82, 2, p. 026210 1 p.Research output: Contribution to journal › Article › peer-review
Open AccessFile230 Downloads (Pure) -
Transient-chaos induced directed transport in a spatially-open Hamiltonian system
Hennig, D., Burbanks, A., Osbaldestin, A. & Mulhern, C., 2010, In: Journal of Physics A: Mathematical and Theoretical. 43, 34, p. 345101 1 p.Research output: Contribution to journal › Article › peer-review
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2009
Directed transport of two interacting particles in a washboard potential
Hennig, D., Burbanks, A. & Osbaldestin, A., 2009, In: Physica D: Nonlinear Phenomena. 238, 23-24, p. 2273-2281 9 p.Research output: Contribution to journal › Article › peer-review
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2005
A formula to compute the microcanonical volume of reactive initial conditions in transition state theory
Waalkens, H., Burbanks, A. & Wiggins, S., 2005, In: Journal of Physics A: Mathematical and General. 38, 45, p. L759-L768Research output: Contribution to journal › Article › peer-review
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Efficient procedure to compute the microcanonical volume of initial conditions that lead to escape trajectories from a multidimensional potential well
Waalkens, H., Burbanks, A. & Wiggins, S., 18 Aug 2005, In: Physical Review Letters. 95, 8, p. 084301 1 p.Research output: Contribution to journal › Article › peer-review
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Escape from planetary neighbourhoods
Waalkens, H., Burbanks, A. & Wiggins, S., 2005, In: Monthly Notices of the Royal Astronomical Society. 361, 3, p. 763-775 13 p.Research output: Contribution to journal › Article › peer-review
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2004
A computational procedure to detect a new type of high-dimensional chaotic saddle and its application to the 3D Hill's problem
Waalkens, H., Burbanks, A. & Wiggins, S., 2004, In: Journal of Physics A: Mathematical and General. 37, 24, p. L257-L265Research output: Contribution to journal › Article › peer-review
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Dynamics of capture in the restricted three-body problem
Astakhov, S., Burbanks, A., Wiggins, S. & Farrelly, D., 1 Jan 2004, Order and Chaos in Stellar and Planetary Systems. Byrd, G. G., Kholshevnikov, K. V., Myllari, A. A., Nikiforov, I. I. & Orlov, V. V. (eds.). Astronomical Society of the Pacific, p. 80-85 6 p. (Astronomical Society of the Pacific Conference Series; vol. 316).Research output: Chapter in Book/Report/Conference proceeding › Chapter (peer-reviewed) › peer-review
Open Access -
Phase space conduits for reaction in multidimensional systems: HCN isomerization in three dimensions
Waalkens, H., Burbanks, A. & Wiggins, S., 1 Oct 2004, In: Journal of Chemical Physics. 121, 13, p. 6207-6225Research output: Contribution to journal › Article › peer-review
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2003
Chaos-assisted capture of irregular moons
Astakhov, S., Burbanks, A., Wiggins, S. & Farrelly, D., 2003, In: Nature. 423, 6937, p. 264-267 4 p.Research output: Contribution to journal › Article › peer-review
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Continuous extension of order-preserving homogeneous maps
Burbanks, A., Sparrow, C. & Nussbaum, R., 2003, In: Kybernetika. 39, 2, p. 205-215 11 p.Research output: Contribution to journal › Article › peer-review
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Extension of order-preserving maps on a cone
Burbanks, A., Nussbaum, R. & Sparrow, C., 2003, In: Proceedings of the Royal Society of Edinburgh: Section A Mathematics. 133, 1, p. 35 1 p.Research output: Contribution to journal › Article › peer-review
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1999
Holder continuous Siegel disc boundary curves
Burbanks, A. & Stirnemann, A., 1999, In: Nonlinearity. 8, 6, p. 901-920 20 p.Research output: Contribution to journal › Article › peer-review
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1998
Fractal dimension of Siegel disc boundaries
Burbanks, A., Osbaldestin, A. & Stirnemann, A., 1998, In: The European Physical Journal B. 4, 3, p. 263-265 3 p.Research output: Contribution to journal › Article › peer-review
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Rigorous bounds on the Hausdorff dimension of Siegel disc boundaries
Burbanks, A., Osbaldestin, A. & Stirnemann, A., 1998, In: Communications in Mathematical Physics. 199, 2, p. 417-439 23 p.Research output: Contribution to journal › Article › peer-review