Phase space conduits for reaction in multidimensional systems: HCN isomerization in three dimensions H Waalkens, A Burbanks, S Wiggins The Journal of chemical physics 121 (13), 6207-6225, 2004 | 135 | 2004 |
Chaos-assisted capture of irregular moons SA Astakhov, AD Burbanks, S Wiggins, D Farrelly Nature 423 (6937), 264-267, 2003 | 126 | 2003 |
A computational procedure to detect a new type of high-dimensional chaotic saddle and its application to the 3D Hill's problem H Waalkens, A Burbanks, S Wiggins Journal of Physics A: Mathematical and General 37 (24), L257, 2004 | 73 | 2004 |
Efficient procedure to compute the microcanonical volume of initial conditions that lead to escape trajectories from a multidimensional potential well H Waalkens, A Burbanks, S Wiggins Physical review letters 95 (8), 084301, 2005 | 57 | 2005 |
Escape from planetary neighbourhoods H Waalkens, A Burbanks, S Wiggins Monthly Notices of the Royal Astronomical Society 361 (3), 763-775, 2005 | 56 | 2005 |
Extension of order-preserving maps on a cone AD Burbanks, RD Nussbaum, CT Sparrow Proceedings of the Royal Society of Edinburgh Section A: Mathematics 133 (1 …, 2003 | 43 | 2003 |
A formula to compute the microcanonical volume of reactive initial conditions in transition state theory H Waalkens, A Burbanks, S Wiggins Journal of Physics A: Mathematical and General 38 (45), L759, 2005 | 38 | 2005 |
Directed transport of two interacting particles in a washboard potential D Hennig, AD Burbanks, AH Osbaldestin Physica D: Nonlinear Phenomena 238 (23-24), 2273-2281, 2009 | 12 | 2009 |
Directed current in the Holstein system D Hennig, AD Burbanks, AH Osbaldestin Physical Review E 83 (3), 031121, 2011 | 11 | 2011 |
Microscopic Superfluidity in Clusters Stirred by a Rotating Impurity Molecule A Wairegi, A Gamboa, AD Burbanks, EA Lee, D Farrelly Physical review letters 112 (14), 143401, 2014 | 10 | 2014 |
Transient-chaos induced directed transport in a spatially-open Hamiltonian system D Hennig, AD Burbanks, AH Osbaldestin, C Mulhern Journal of Physics A: Mathematical and Theoretical 43 (34), 345101, 2010 | 10 | 2010 |
All monotone homogeneous functions (on the positive cone) admit continuous extension AD Burbanks, CT Sparrow preprint 13, 1999 | 9 | 1999 |
From collective periodic running states to completely chaotic synchronised states in coupled particle dynamics D Hennig, AD Burbanks, AH Osbaldestin, C Mulhern Chaos: An Interdisciplinary Journal of Nonlinear Science 21 (2), 2011 | 8 | 2011 |
Emergence of continual directed flow in Hamiltonian systems D Hennig, AD Burbanks, C Mulhern, AH Osbaldestin Physical Review E 82 (2), 026210, 2010 | 8 | 2010 |
Dynamics of capture in the restricted three-body problem SA Astakhov, AD Burbanks, S Wiggins, D Farrelly arXiv preprint astro-ph/0310618, 2003 | 8 | 2003 |
Rigorous computer-assisted bounds on the period doubling renormalization fixed point and eigenfunctions in maps with critical point of degree 4 AD Burbanks, AH Osbaldestin, JA Thurlby Journal of Mathematical Physics 62 (11), 2021 | 7 | 2021 |
Renormalization for Siegel discs AD Burbanks Loughborough University, 1997 | 7 | 1997 |
Holder continuous Siegel disc boundary curves A Burbanks, A Stirnemann Nonlinearity 8 (6), 901, 1995 | 7 | 1995 |
Directing particle transport in a two-dimensional periodic potential landscape D Hennig, AD Burbanks, AH Osbaldestin Chemical Physics 375 (2-3), 492-502, 2010 | 6 | 2010 |
Order and chaos in stellar and planetary systems S Astakhov, A Burbanks, S Wiggins, D Farrelly ASP Conference Series 316, 80-85, 2004 | 5 | 2004 |