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ORCIDAlan R. Champneys
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2020 – today
- 2024
[j33]Fahad Al Saadi, Alan R. Champneys
, Mike R. Jeffrey:
Wave-Pinned Patterns for Cell Polarity - A Catastrophe Theory Explanation. SIAM J. Appl. Dyn. Syst. 23(1): 721-747 (2024)- 2023
- [j32]Edgardo Villar-Sepúlveda, Alan R. Champneys:
Degenerate Turing Bifurcation and the Birth of Localized Patterns in Activator-Inhibitor Systems. SIAM J. Appl. Dyn. Syst. 22(3): 1673-1709 (2023) - [j31]Pedro Parra-Rivas, Alan R. Champneys, Fahad Al Saadi, Damià Gomila, Edgar Knobloch:
Organization of Spatially Localized Structures near a Codimension-Three Cusp-Turing Bifurcation. SIAM J. Appl. Dyn. Syst. 22(4): 2693-2731 (2023) - [j30]Hong Tang, Alan R. Champneys:
Bifurcation of Limit Cycles from Boundary Equilibria in Impacting Hybrid Systems. SIAM J. Appl. Dyn. Syst. 22(4): 3320-3357 (2023) - [j29]Edgardo Villar-Sepúlveda, Alan R. Champneys:
Computation of Turing Bifurcation Normal Form for n-Component Reaction-Diffusion Systems. ACM Trans. Math. Softw. 49(4): 35:1-35:24 (2023) - 2021
- [c2]Alan F. Wise, Lucy E. Morgan, Alexander Heib, Christine S. M. Currie, Alan R. Champneys, Nadarajah Ramesh, Chris Gale, Mamas Mamas:
Modeling Of Waiting Lists For Chronic Heart Failure In The Wake Of The COVID-19 Pandemic. WSC 2021: 1-11
2010 – 2019
- 2019
- [j28]Alan R. Champneys, Tim J. Dodwell, Rainer M. J. Groh, Giles W. Hunt, Robin M. Neville, Alberto Pirrera, Amir Hosein Sakhaei, Mark Schenk, M. Ahmer Wadee:
Happy Catastrophe: Recent Progress in Analysis and Exploitation of Elastic Instability. Frontiers Appl. Math. Stat. 5: 34 (2019) - [j27]Nicolas Verschueren, Alan R. Champneys:
ERRATUM: A Model for Cell Polarization without Mass Conservation. SIAM J. Appl. Dyn. Syst. 18(1): 594-595 (2019) - 2018
- [j26]Arne B. Nordmark, Péter L. Várkonyi, Alan R. Champneys:
Dynamics Beyond Dynamic Jam; Unfolding the Painlevé Paradox Singularity. SIAM J. Appl. Dyn. Syst. 17(2): 1267-1309 (2018) - 2017
- [j25]Nicolas Verschueren, Alan R. Champneys:
A Model for Cell Polarization Without Mass Conservation. SIAM J. Appl. Dyn. Syst. 16(4): 1797-1830 (2017) - 2016
- [i1]Alan R. Champneys, Péter L. Várkonyi:
The Painleve paradox in contact mechanics. CoRR abs/1601.03545 (2016) - 2015
- [j24]Lewis G. W. Roberts, Alan R. Champneys, Keith R. W. Bell, Mario di Bernardo:
Analytical Approximations of Critical Clearing Time for Parametric Analysis of Power System Transient Stability. IEEE J. Emerg. Sel. Topics Circuits Syst. 5(3): 465-476 (2015) - [j23]Victor F. Brena-Medina, Daniele Avitabile, Alan R. Champneys, Michael Jeffrey Ward:
Stripe to Spot Transition in a Plant Root Hair Initiation Model. SIAM J. Appl. Math. 75(3): 1090-1119 (2015) - 2014
- [j22]Alan R. Champneys:
LP Shilnikov 1934-2011: A Tribute From 'The West'. Int. J. Bifurc. Chaos 24(8) (2014) - [j21]Victor Brena-Medina, Alan R. Champneys, C. Grierson, Michael Jeffrey Ward:
Mathematical Modeling of Plant Root Hair Initiation: Dynamics of Localized Patches. SIAM J. Appl. Dyn. Syst. 13(1): 210-248 (2014) - [j20]Csaba Bazsó, Alan R. Champneys, Csaba J. Hös:
Bifurcation Analysis of a Simplified Model of a Pressure Relief Valve Attached to a Pipe. SIAM J. Appl. Dyn. Syst. 13(2): 704-721 (2014) - 2012
- [j19]Daniele Linaro, Alan R. Champneys, Mathieu Desroches, Marco Storace:
Codimension-Two Homoclinic Bifurcations Underlying Spike Adding in the Hindmarsh-Rose Burster. SIAM J. Appl. Dyn. Syst. 11(3): 939-962 (2012) - [j18]Alan R. Champneys, Edgar Knobloch, Yiping Ma, Thomas Wagenknecht:
Homoclinic Snakes Bounded by a Saddle-Center Periodic Orbit. SIAM J. Appl. Dyn. Syst. 11(4): 1583-1613 (2012) - 2010
- [j17]A. V. Yulin, Alan R. Champneys:
Discrete Snaking: Multiple Cavity Solitons in Saturable Media. SIAM J. Appl. Dyn. Syst. 9(2): 391-431 (2010)
2000 – 2009
- 2009
- [j16]Thomas R. O. Melvin, Alan R. Champneys, Dmitry E. Pelinovsky:
Discrete Traveling Solitons in the Salerno Model. SIAM J. Appl. Dyn. Syst. 8(2): 689-709 (2009) - [j15]Alan R. Champneys, Vivien Kirk, Edgar Knobloch, Bart E. Oldeman, Jens D. M. Rademacher:
Unfolding a Tangent Equilibrium-to-Periodic Heteroclinic Cycle. SIAM J. Appl. Dyn. Syst. 8(3): 1261-1304 (2009) - [r1]Alan R. Champneys:
Dynamics of Parametric Excitation. Encyclopedia of Complexity and Systems Science 2009: 2323-2345 - 2008
- [j14]Alan R. Champneys, Mario di Bernardo:
Piecewise smooth dynamical systems. Scholarpedia 3(9): 4041 (2008) - [j13]David J. B. Lloyd, Björn Sandstede, Daniele Avitabile, Alan R. Champneys:
Localized Hexagon Patterns of the Planar Swift-Hohenberg Equation. SIAM J. Appl. Dyn. Syst. 7(3): 1049-1100 (2008) - [j12]Mario di Bernardo, Chris J. Budd, Alan R. Champneys, Piotr Kowalczyk, Arne B. Nordmark, Gerard Olivar Tost, Petri T. Piiroinen:
Bifurcations in Nonsmooth Dynamical Systems. SIAM Rev. 50(4): 629-701 (2008) - 2007
- [j11]Alan R. Champneys, Vivien Kirk, Edgar Knobloch, Bart E. Oldeman, James Sneyd:
When Shil'nikov Meets Hopf in Excitable Systems. SIAM J. Appl. Dyn. Syst. 6(4): 663-693 (2007) - 2006
- [j10]Piotr Kowalczyk, Mario di Bernardo, Alan R. Champneys, Stephen John Hogan, Martin E. Homer, Petri T. Piiroinen, Yuri A. Kuznetsov, Arne B. Nordmark:
Two-Parameter Discontinuity-Induced bifurcations of Limit Cycles: Classification and Open Problems. Int. J. Bifurc. Chaos 16(3): 601-629 (2006) - [j9]Juan Valverde García, Jose Luis Escalona Franco, Jaime Dominguez Abascal, Alan R. Champneys:
Stability and Bifurcation Analysis of a Spinning Space Tether. J. Nonlinear Sci. 16(5): 507-542 (2006) - 2005
- [j8]Richard D. Eyres, Petri T. Piiroinen, Alan R. Champneys, N. A. J. Lieven:
Grazing Bifurcations and Chaos in the Dynamics of a Hydraulic Damper with Relief Valves. SIAM J. Appl. Dyn. Syst. 4(4): 1076-1106 (2005) - [j7]David J. B. Lloyd, Alan R. Champneys:
Efficient Numerical Continuation and Stability Analysis of Spatiotemporal Quadratic Optical Solitons. SIAM J. Sci. Comput. 27(3): 759-773 (2005) - 2004
- [j6]Petri T. Piiroinen, Lawrence N. Virgin, Alan R. Champneys:
Chaos and Period-Adding; Experimental and Numerical Verification of the Grazing Bifurcation. J. Nonlinear Sci. 14(4): 383-404 (2004) - [j5]Alan R. Champneys, W. B. Fraser:
Resonance Tongue Interaction in the Parametrically Excited Column. SIAM J. Appl. Math. 65(1): 267-298 (2004) - 2003
- [j4]Bart E. Oldeman, Alan R. Champneys, Bernd Krauskopf:
Homoclinic Branch Switching: a Numerical Implementation of Lin's Method. Int. J. Bifurc. Chaos 13(10): 2977-2999 (2003)
1990 – 1999
- 1999
- [j3]Gabriel J. Lord, Alan R. Champneys, Giles W. Hunt:
Computation of Homoclinic Orbits in Partial Differential Equations: An Application to Cylindrical Shell Buckling. SIAM J. Sci. Comput. 21(2): 591-619 (1999) - [c1]Mario di Bernardo, Alan R. Champneys, Chris J. Budd, Francesco Vasca:
Sliding orbits and double spiral bifurcation diagrams in power electronic DC/DC converters. ISCAS (5) 1999: 262-265 - 1998
- [j2]Alan R. Champneys, G. H. M. van der Heijden, J. Michael T. Thompson:
The Spatial Complexity of Localized Buckling in Rods with Noncircular Cross Section. SIAM J. Appl. Math. 59(1): 198-221 (1998) - 1993
- [j1]Alan R. Champneys, Alastair Spence:
Hunting for homoclinic orbits in reversible systems: A shooting technique. Adv. Comput. Math. 1(1): 81-108 (1993)
Coauthor Index
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