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Number of items: 58.
Article
| Barnes, Lucy and Hone, Andrew N.W. (2019) Dynamics of conservative peakons in a system of Popowicz. Physics Letters A, 383 (5). pp. 406-413. ISSN 0375-9601. (doi:https://doi.org/10.1016/j.physleta.2018.11.015) (Access to this publication is currently restricted. You may be able to access a copy if URLs are provided) |
![[img]](https://kar.kent.ac.uk/style/images/fileicons/application_pdf.png)
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| Hone, Andrew N.W. and Varona, Juan Luis (2018) Continued fractions and irrationality exponents for modified engel and pierce series. Monatshefte fur Mathematik, . pp. 1-16. ISSN 0026-9255. E-ISSN 1436-5081. (doi:https://doi.org/10.1007/s00605-018-1244-1) (Access to this publication is currently restricted. You may be able to access a copy if URLs are provided) |
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| Hone, Andrew N.W. and Jeffery, L. Edson and Selcoe, Robert G. (2018) On a Family of Sequences Related to Chebyshev Polynomials. Journal of Integer Sequences, 21 . 18.7.2. ISSN 1530-7638. (Full text available) |
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| Hone, Andrew N.W. and Ward, Chloe (2018) On the General Solution of the Heideman–Hogan Family of Recurrences. Proceedings of the Edinburgh Mathematical Society, . ISSN 0013-0915. (doi:https://doi.org/10.1017/S0013091518000196) (Full text available) |
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| Hay, M. and Hone, Andrew N.W. and Novikov, Vladimir S. and Wang, Jing Ping (2018) Remarks on certain two-component systems with peakon solutions. arXiv [online], . (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) |
| Hamad, K. and Hone, Andrew N.W. and van der Kamp, Peter H. and Quispel, G.R.W. (2018) QRT maps and related Laurent systems. Advances in Applied Mathematics, 96 . ISSN 0196-8858. (doi:https://doi.org/10.1016/j.aam.2017.12.006) (Access to this publication is currently restricted. You may be able to access a copy if URLs are provided) |
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| Hone, Andrew N.W. and Zullo, F. (2018) A Hirota bilinear equation for Painlevé transcendents PIV, PII and PI. Random Matrices: Theory and Applications, 7 (4). p. 1840001. ISSN 2010-3263. (doi:https://doi.org/10.1142/S2010326318400014) (Full text available) |
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| Hone, Andrew N.W. and Kouloukas, Theodoros E. and Quispel, G.R.W. (2017) Some integrable maps and their Hirota bilinear forms. Journal of Physics A: Mathematical and Theoretical, 51 (4). ISSN 1751-8113. E-ISSN 1751-8121. (doi:https://doi.org/10.1088/1751-8121/aa9b52) (Access to this publication is currently restricted. You may be able to access a copy if URLs are provided) |
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| Hone, Andrew N.W. and Novikov, Vladimir and Wang, Jing Ping (2017) Generalizations of the short pulse equation. Letters in Mathematical Physics, . ISSN 0377-9017. E-ISSN 1573-0530. (doi:https://doi.org/10.1007/s11005-017-1022-3) (Full text available) |
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| Hone, Andrew N.W. and Kouloukas, Theodoros E. and Ward, Chloe (2017) On Reductions of the Hirota-Miwa Equation. Symmetry, Integrability and Geometry: Methods and Applications, 13 . ISSN 1815-0659. (doi:https://doi.org/10.3842/SIGMA.2017.057) (Full text available) |
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| Hone, Andrew N.W. and Kouloukas, Theodoros E. and Ward, Chloe (2017) On reductions of the Hirota-Miwa equation. Symmetries, Integrability and Geometry: Methods and Applications, 13 (57). pp. 1-17. ISSN 1815-0659. (doi:https://doi.org/10.3842/SIGMA.2017.057) (Full text available) |
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| Hone, Andrew N.W. and Novikov, Vladimir S. and Wang, Jing Ping (2017) Two-component generalizations of the Camassa-Holm equation. Nonlinearity, 30 (2). pp. 622-658. ISSN 0951-7715. E-ISSN 1361-6544. (doi:https://doi.org/10.1088/1361-6544/aa5490) (Access to this publication is currently restricted. You may be able to access a copy if URLs are provided) |
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| Fedorov, Yuri N. and Hone, Andrew N.W. (2016) Sigma-function solution to the general Somos-6 recurrence via hyperelliptic Prym varieties. Journal of Integrable Systems, 1 (1). ISSN 2058-5985. (doi:https://doi.org/10.1093/integr/xyw012) (Access to this publication is currently restricted. You may be able to access a copy if URLs are provided) |
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| Hone, Andrew N.W. (2016) On the continued fraction expansion of certain Engel series. Journal of Number Theory, 164 . pp. 269-281. ISSN 0022-314X. (doi:https://doi.org/10.1016/j.jnt.2015.12.024) (Full text available) |
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| Hone, Andrew N.W. (2015) Curious Continued Fractions, Nonlinear Recurrences and Transcendental Numbers. Journal of Integer Sequences, 18 (15.8.4). pp. 1-10. ISSN 1530-7638. (Full text available) |
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| Hone, Andrew N.W. (2015) Algebraic entropy for algebraic maps. Journal of Physics A: Mathematical and Theoretical, 49 (2). ISSN 1751-8113. (doi:https://doi.org/10.1088/1751-8113/49/2/02LT01) (Full text available) |
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| Hone, Andrew N.W. (2015) Continued fractions for some transcendental numbers. Monatshefte fur Mathematik, . ISSN 0026-9255. E-ISSN 1436-5081. (doi:https://doi.org/10.1007/s00605-015-0844-2) (Full text available) |
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| Hone, Andrew N.W. and Towler, Kim (2015) Non-standard discretization of biological models. Natural Computing, 14 . pp. 39-48. ISSN 1567-7818. (Full text available) |
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| Hone, Andrew N.W. and Lafortune, Stephane (2014) Stability of stationary solutions for nonintegrable peakon equations. Physica D: Nonlinear Phenomena, 269 . pp. 28-36. ISSN 0167-2789. (doi:https://doi.org/10.1016/j.physd.2013.11.006) (Full text available) |
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| Fordy, Allan P. and Hone, Andrew N.W. (2014) Discrete integrable systems and Poisson algebras from cluster maps. Communications in Mathematical Physics, 325 (2). pp. 527-584. ISSN 0010-3616. (doi:https://doi.org/10.1007/s00220-013-1867-y) (Full text available) |
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| Hone, Andrew N.W. and Inoue, Rei (2014) Discrete Painlevé equations from Y-systems. Journal of Physics A: Mathematical and Theoretical, 47 . ISSN 1751-8113. (doi:https://doi.org/10.1088/1751-8113/47/47/474007) (Full text available) |
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| Hone, Andrew N.W. and Ward, Chloe (2014) A family of linearizable recurrences with the Laurent property. Bulletin of the London Mathematical Society, 46 (3). pp. 503-516. ISSN 0024-6093. (doi:https://doi.org/10.1112/blms/bdu004) (Full text available) |
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| Hone, Andrew N.W. and van der Kamp, Peter H. and Quispel, G R W and Tran, D T (2013) Integrability of reductions of the discrete Korteweg-de Vries and potential Korteweg-de Vries equations. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 469 (2154). ISSN 1471-2946. (doi:https://doi.org/10.1098/rspa.2012.0747) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) |
| Hone, Andrew N.W. and Ragnisco, Orlando and Zullo, Federico (2013) Properties of the series solution for Painlevé I. Journal of Nonlinear Mathematical Physics, 20 (Supp.1). pp. 85-100. ISSN 1402-9251. (doi:https://doi.org/10.1080/14029251.2013.862436) (Full text available) |
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| Chu, Dominique and Zabet, Nicolae Radu and Hone, Andrew N.W. (2011) Optimal Parameter Settings for Information Processing in Gene Regulatory Networks. BioSystems, . pp. 182-196. (doi:https://doi.org/10.1016/j.biosystems.2011.01.006) (Full text available) |
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| Fordy, Allan P. and Hone, Andrew N.W. (2011) Symplectic Maps from Cluster Algebras. Symmetry, Integrability and Geometry: Methods and Applications, 7 (091). pp. 1-12. E-ISSN 1815-0659. (doi:https://doi.org/10.3842/SIGMA.2011.091) (Full text available) |
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| Hone, Andrew N.W. and Lundmark, H. and Szmigielski, J. (2009) Explicit multipeakon solutions of Novikov's cubically nonlinear integrable Camassa--Holm type equation. Dynamics of Partial Differential Equations, 6 (3). pp. 253-289. ISSN 1548-159X. (Full text available) |
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| Hone, Andrew N.W. and Petrera, Matteo (2009) Three-dimensional discrete systems of Hirota-Kimura type and deformed Lie-Poisson algebras. Journal of Geometric Mechanics, 1 (1). pp. 55-85. ISSN 1941-4889. (doi:https://doi.org/10.3934/jgm.2009.1.55) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) |
| Hone, Andrew N.W. and Wang, Jing Ping (2008) Integrable peakon equations with cubic nonlinearity. Journal of Physics A: Mathematical and Theoretical, 41 . ISSN 1751-8113. (doi:37200210.1088/1751-8113/41/37/372002) (Full text available) |
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| Timmis, Jon and Hone, Andrew N.W. and Stibor, Thomas and Clark, Edward (2008) Theoretical advances in artificial immune systems. Theoretical Computer Science, 403 (1). pp. 11-32. ISSN 0304-3975. (doi:https://doi.org/10.1016/j.tcs.2008.02.011) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) |
| Hone, Andrew N.W. and Swart, Christine (2008) Integrality and the Laurent phenomenon for Somos 4 and Somos 5 sequences. Mathematical Proceedings of the Cambridge Philosophical Society, 145 (Part I). pp. 65-85. ISSN 0305-0041. (doi:https://doi.org/10.1017/s030500410800114x) (Full text available) |
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| Common, Alan K. and Hone, Andrew N.W. (2008) Rational solutions of the discrete time Toda lattice and the alternate discrete Painleve II equation. Journal of Physics A: Mathematical and Theoretical, 41 (48). p. 485203. ISSN 1751-8113. (doi:https://doi.org/10.1088/1751-8113/41/48/485203) (Full text available) |
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| Hone, Andrew N.W. and Novikov, Vladimir S. and Verhoeven, C. (2008) An extended Henon-Heiles system. Physics Letters A, 372 (9). pp. 1440-1444. ISSN 0375-9601. (doi:https://doi.org/10.1016/j.physleta.2007.09.063) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) |
| Hone, Andrew N.W. (2007) Laurent Polynomials and Superintegrable Maps. Symmetry, Integrability and Geometry: Methods and Applications, 3 (022). pp. 1-18. ISSN 1815-0659. (Full text available) |
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| Hone, Andrew N.W. (2007) Sigma function solution of the initial value problem for Somos 5 sequences. Transactions of the American Mathematical Society, 359 (10). pp. 5019-5034. ISSN 0002-9947. (doi:https://doi.org/10.1090/S0002-9947-07-04215-8) (Full text available) |
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| Hone, Andrew N.W. (2007) Singularity confinement for maps with the Laurent property. Physics Letters A, 361 (4-5). 341 -345. ISSN 0375-9601. (doi:https://doi.org/10.1016/j.physleta.2006.09.078) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) |
| Hone, Andrew N.W. (2006) Diophantine non-integrability of a third order recurrence with the Laurent property. Journal of Physics A: Mathematical and General, 39 (12). L171-L177. ISSN 0305-4470. (doi:https://doi.org/10.1088/0305-4470/39/12/L01) (Full text available) |
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| Sen, A. and Hone, Andrew N.W. and Clarkson, Peter (2006) On the Lax pairs of symmetric Painleve equations. Studies in Applied Mathematics, 117 (4). pp. 299-319. ISSN 0022-2526. (doi:https://doi.org/10.1111/j.1467-9590.2006.00356.x) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) |
| Sen, A. and Hone, Andrew N.W. and Clarkson, Peter (2005) Darboux transformations and the symmetric fourth Painlevé equation. Journal of Physics A: Mathematical and General, 38 (45). pp. 9751-9764. ISSN 0305-4470. (doi:https://doi.org/10.1088/0305-4470/38/45/003) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) |
| Hone, Andrew N.W. (2005) Non-existence of elliptic travelling wave solutions of the complex Ginzburg-Landau equation. Physica D: Nonlinear Phenomena, 205 (1-4). pp. 292-306. ISSN 0167-2789. (doi:https://doi.org/10.1016/j.physd.2004.10.011) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) |
| Hone, Andrew N.W. (2005) Elliptic curves and quadratic recurrence sequences. Bulletin of the London Mathematical Society, 37 (Part 2). pp. 161-171. ISSN 0024-6093. (doi:https://doi.org/10.1112/S0024609304004163) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) |
| Holm, Darryl D. and Hone, Andrew N.W. (2005) A class of equations with peakon and pulson solutions (with an Appendix by Harry Braden and John Byatt-Smith). Journal of Nonlinear Mathematical Physics, 12 (Sup.1). pp. 380-394. ISSN 1402-9251. (Full text available) |
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| Braden, H.W. and Enolskii, V.Z. and Hone, Andrew N.W. (2005) Bilinear recurrences and addition formulae for hyperelliptic sigma functions. Journal of Nonlinear Mathematical Physics, 12 (Sup.2). pp. 46-62. ISSN 1402-9251. (doi:https://doi.org/10.2991/jnmp.2005.12.s2.5) (Full text available) |
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| Hone, Andrew N.W. and Novikov, Vladimir S. (2004) On a functional equation related to the intermediate long wave equation. Journal of Physics A: Mathematical and General, 37 (32). L399-L406. ISSN 0305-4470. (doi:https://doi.org/10.1088/0305-4470/37/32/L02) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) |
| Clarkson, Peter and Hone, Andrew N.W. and Joshi, Nalini (2003) Hierarchies of Difference Equations and Bäcklund Transformations. Journal of Nonlinear Mathematical Physics, 10 . pp. 13-26. ISSN 1402-9251. (doi:https://doi.org/10.2991/jnmp.2003.10.s2.2) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) |
| Holm, Darryl D. and Hone, Andrew N.W. (2003) On the non-integrability of a fifth order equation with integrable two-body dynamics. Theoretical and Mathematical Physics, 137 (1). pp. 1459-1471. ISSN 0040-5779. (doi:https://doi.org/10.1023/A:1026060924520) (Full text available) |
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| Hone, Andrew N.W. and Wang, Jing Ping (2003) Prolongation algebras and Hamiltonian operators for peakon equations. Inverse Problems, 19 (1). pp. 129-145. ISSN 0266-5611. (doi:https://doi.org/10.1088/0266-5611/19/1/307) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) |
| Degasperis, A. and Holm, Darryl D. and Hone, Andrew N.W. (2002) A new integrable equation with peakon solutions. Theoretical and Mathematical Physics, 133 (2). pp. 1463-1474. ISSN 0040-5779. (doi:https://doi.org/10.1023/A:1021186408422) (Full text available) |
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| Hone, Andrew N.W. (2002) Lattice equations and tau-functions for a coupled Painlevé system. Nonlinearity, 15 (3). pp. 735-745. ISSN 0951-7715. (doi:https://doi.org/10.1088/0951-7715/15/3/313) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) |
| Hone, Andrew N.W. and Kuznetsov, Vadim B. and Ragnisco, Orlando (2001) Backlund transformations for the sl(2) Gaudin magnet. Journal of Physics A: Mathematical and General, 34 (11). pp. 2477-2490. ISSN 0305-4470. (Full text available) |
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| Nijhoff, Frank W. and Hone, Andrew N.W. and Joshi, Nalini (2000) On a Schwarzian PDE associated with the KdV Hierarchy. Physics Letters A, 267 (2-3). pp. 147-156. ISSN 0375-9601. (doi:https://doi.org/10.1016/S0375-9601(00)00063-3) (Full text available) |
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| Nijhoff, Frank W. and Joshi, Nalini and Hone, Andrew N.W. (2000) On the discrete and continuous Miura Chain associated with the Sixth Painlevé Equation. Physics Letters A, 264 (5). pp. 396-406. ISSN 0375-9601. (doi:https://doi.org/10.1016/S0375-9601(99)00764-1) (Full text available) |
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| Hone, Andrew N.W. and Kuznetsov, Vadim B. and Ragnisco, Orlando (1999) Backlund transformations for many-body systems related to KdV. Journal of Physics A: Mathematical and General, 32 (27). L299-L306. ISSN 0305-4470. (doi:https://doi.org/10.1088/0305-4470/32/27/102) (Full text available) |
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Book section
| Hone, Andrew N.W. and Krusch, Steffen (2017) Differential Geometry and Mathematical Physics. In: Analysis and Mathematical Physics. LTCC Advanced Mathematics Series . World Scientific, pp. 1-40. ISBN 978-1-78634-098-6. (Access to this publication is currently restricted. You may be able to access a copy if URLs are provided) |
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Conference or workshop item
| Zabet, Nicolae Radu and Hone, Andrew N.W. and Chu, Dominique (2010) Design Principles of Transcriptional Logic Circuits. In: Artificial Life XII Proceedings of the Twelfth International Conference on the Synthesis and Simulation of Living Systems. MIT Press pp. 182-196. (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) |
| Hone, Andrew N.W. and Irle, Michael V. (2009) On the non-integrability of the Popowicz peakon system. In: Discrete and Continuous Dynamical Systems Supplement. AIMS pp. 359-366. (Full text available) |
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| Hone, Andrew N.W. (2008) Algebraic curves, integer sequences and a discrete Painleve transcendent. In: SIDE 6, 19-24 June 2004, Helsinki, Finland. (Unpublished) (Full text available) |
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| Kelsey, Johnny and Timmis, Jon and Hone, Andrew N.W. (2003) Chasing Chaos. In: Sarker, Ruhul Amin and Reynolds, R. and Abbass, Hussein Aly and Kay-Chen, T. and McKay, R. and Essam, D. and Gedeon, T., eds. Proceedings of the Congress on Evolutionary Computation. IEEE, Canberra. Australia pp. 413-419. ISBN 0-7803-7804-0. (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) |
