Alan R. Champneys

41 papers Misc 1Journal 38Unranked 1
YearRankTypeTitle / Venue / Authors
2026 J jnl
Pattern Formation of Bulk-Surface Reaction-Diffusion Systems in a Ball.
SIAM J. Appl. Math.
Edgardo Villar-Sepúlveda, Alan R. Champneys, Davide Cusseddu, Anotida Madzvamuse
2025 J jnl
Boundary Equilibrium Bifurcations Creating Multiple Limit Cycles in Impacting Hybrid Systems.
SIAM J. Appl. Dyn. Syst.
Hong Tang, Alan R. Champneys, David J. W. Simpson
2025 J jnl
Pattern Localization in the Swift-Hohenberg Equation via Slowly Varying Spatial Heterogeneity.
SIAM J. Appl. Dyn. Syst.
Andrew L. Krause, Václav Klika, Edgardo Villar-Sepúlveda, Alan R. Champneys, Eamonn A. Gaffney
2025 J jnl
Snakes, Ladders, and Breathers: Organization of Localized Patterns in Reaction-Diffusion Systems.
SIAM J. Appl. Dyn. Syst.
Fahad Al Saadi, Alan R. Champneys, Nicolas Verschueren
2024 J jnl
Wave-Pinned Patterns for Cell Polarity - A Catastrophe Theory Explanation.
SIAM J. Appl. Dyn. Syst.
Fahad Al Saadi, Alan R. Champneys, Mike R. Jeffrey
2023 J jnl
Bifurcation of Limit Cycles from Boundary Equilibria in Impacting Hybrid Systems.
SIAM J. Appl. Dyn. Syst.
Hong Tang, Alan R. Champneys
2023 J jnl
Computation of Turing Bifurcation Normal Form for
ACM Trans. Math. Softw.
Edgardo Villar-Sepúlveda, Alan R. Champneys
2023 J jnl
Degenerate Turing Bifurcation and the Birth of Localized Patterns in Activator-Inhibitor Systems.
SIAM J. Appl. Dyn. Syst.
Edgardo Villar-Sepúlveda, Alan R. Champneys
2023 J jnl
Organization of Spatially Localized Structures near a Codimension-Three Cusp-Turing Bifurcation.
SIAM J. Appl. Dyn. Syst.
Pedro Parra-Rivas, Alan R. Champneys, Fahad Al Saadi, Damià Gomila, Edgar Knobloch
2021 Misc conf
Modeling Of Waiting Lists For Chronic Heart Failure In The Wake Of The COVID-19 Pandemic.
WSC
Alan F. Wise, Lucy E. Morgan, Alexander Heib, Christine S. M. Currie, Alan R. Champneys, Nadarajah Ramesh, Chris Gale, Mamas Mamas
2019 J jnl
ERRATUM: A Model for Cell Polarization without Mass Conservation.
SIAM J. Appl. Dyn. Syst.
Nicolás Verschueren, Alan R. Champneys
2019 J jnl
Happy Catastrophe: Recent Progress in Analysis and Exploitation of Elastic Instability.
Frontiers Appl. Math. Stat.
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
2018 J jnl
Dynamics Beyond Dynamic Jam; Unfolding the Painlevé Paradox Singularity.
SIAM J. Appl. Dyn. Syst.
Arne B. Nordmark, Péter L. Várkonyi, Alan R. Champneys
2017 J jnl
A Model for Cell Polarization Without Mass Conservation.
SIAM J. Appl. Dyn. Syst.
Nicolás Verschueren, Alan R. Champneys
2016 J jnl
The Painleve paradox in contact mechanics.
CoRR
Alan R. Champneys, Péter L. Várkonyi
2015 J jnl
Analytical Approximations of Critical Clearing Time for Parametric Analysis of Power System Transient Stability.
IEEE J. Emerg. Sel. Topics Circuits Syst.
Lewis G. W. Roberts, Alan R. Champneys, Keith R. W. Bell, Mario di Bernardo
2015 J jnl
Stripe to Spot Transition in a Plant Root Hair Initiation Model.
SIAM J. Appl. Math.
Victor F. Brena-Medina, Daniele Avitabile, Alan R. Champneys, Michael Jeffrey Ward
2014 J jnl
Bifurcation Analysis of a Simplified Model of a Pressure Relief Valve Attached to a Pipe.
SIAM J. Appl. Dyn. Syst.
Csaba Bazsó, Alan R. Champneys, Csaba J. Hös
2014 J jnl
LP Shilnikov 1934-2011: A Tribute From 'The West'.
Int. J. Bifurc. Chaos
Alan R. Champneys
2014 J jnl
Mathematical Modeling of Plant Root Hair Initiation: Dynamics of Localized Patches.
SIAM J. Appl. Dyn. Syst.
Victor Brena-Medina, Alan R. Champneys, Claire S. Grierson, Michael Jeffrey Ward
2012 J jnl
Codimension-Two Homoclinic Bifurcations Underlying Spike Adding in the Hindmarsh-Rose Burster.
SIAM J. Appl. Dyn. Syst.
Daniele Linaro, Alan R. Champneys, Mathieu Desroches, Marco Storace
2012 J jnl
Homoclinic Snakes Bounded by a Saddle-Center Periodic Orbit.
SIAM J. Appl. Dyn. Syst.
Alan R. Champneys, Edgar Knobloch, Yiping Ma, Thomas Wagenknecht
2010 J jnl
Discrete Snaking: Multiple Cavity Solitons in Saturable Media.
SIAM J. Appl. Dyn. Syst.
A. V. Yulin, Alan R. Champneys
2009 J jnl
Discrete Traveling Solitons in the Salerno Model.
SIAM J. Appl. Dyn. Syst.
Thomas R. O. Melvin, Alan R. Champneys, Dmitry E. Pelinovsky
2009 — ch.
Dynamics of Parametric Excitation.
Encyclopedia of Complexity and Systems Science
Alan R. Champneys
2009 J jnl
Unfolding a Tangent Equilibrium-to-Periodic Heteroclinic Cycle.
SIAM J. Appl. Dyn. Syst.
Alan R. Champneys, Vivien Kirk, Edgar Knobloch, Bart E. Oldeman, Jens D. M. Rademacher
2008 J jnl
Bifurcations in Nonsmooth Dynamical Systems.
SIAM Rev.
Mario di Bernardo, Chris J. Budd, Alan R. Champneys, Piotr Kowalczyk, Arne B. Nordmark, Gerard Olivar Tost, Petri T. Piiroinen
2008 J jnl
Localized Hexagon Patterns of the Planar Swift-Hohenberg Equation.
SIAM J. Appl. Dyn. Syst.
David J. B. Lloyd, Björn Sandstede, Daniele Avitabile, Alan R. Champneys
2008 J jnl
Piecewise smooth dynamical systems.
Scholarpedia
Alan R. Champneys, Mario di Bernardo
2007 J jnl
When Shil'nikov Meets Hopf in Excitable Systems.
SIAM J. Appl. Dyn. Syst.
Alan R. Champneys, Vivien Kirk, Edgar Knobloch, Bart E. Oldeman, James Sneyd
2006 J jnl
Stability and Bifurcation Analysis of a Spinning Space Tether.
J. Nonlinear Sci.
Juan Valverde García, Jose Luis Escalona Franco, Jaime Dominguez Abascal, Alan R. Champneys
2006 J jnl
Two-Parameter Discontinuity-Induced bifurcations of Limit Cycles: Classification and Open Problems.
Int. J. Bifurc. Chaos
Piotr Kowalczyk, Mario di Bernardo, Alan R. Champneys, Stephen John Hogan, Martin E. Homer, Petri T. Piiroinen, Yuri A. Kuznetsov, Arne B. Nordmark
2005 J jnl
Efficient Numerical Continuation and Stability Analysis of Spatiotemporal Quadratic Optical Solitons.
SIAM J. Sci. Comput.
David J. B. Lloyd, Alan R. Champneys
2005 J jnl
Grazing Bifurcations and Chaos in the Dynamics of a Hydraulic Damper with Relief Valves.
SIAM J. Appl. Dyn. Syst.
Richard D. Eyres, Petri T. Piiroinen, Alan R. Champneys, N. A. J. Lieven
2004 J jnl
Chaos and Period-Adding; Experimental and Numerical Verification of the Grazing Bifurcation.
J. Nonlinear Sci.
Petri T. Piiroinen, Lawrence N. Virgin, Alan R. Champneys
2004 J jnl
Resonance Tongue Interaction in the Parametrically Excited Column.
SIAM J. Appl. Math.
Alan R. Champneys, W. B. Fraser
2003 J jnl
Homoclinic Branch Switching: a Numerical Implementation of Lin's Method.
Int. J. Bifurc. Chaos
Bart E. Oldeman, Alan R. Champneys, Bernd Krauskopf
1999 J jnl
Computation of Homoclinic Orbits in Partial Differential Equations: An Application to Cylindrical Shell Buckling.
SIAM J. Sci. Comput.
Gabriel J. Lord, Alan R. Champneys, Giles W. Hunt
1999 — conf
Sliding orbits and double spiral bifurcation diagrams in power electronic DC/DC converters.
ISCAS (5)
Mario di Bernardo, Alan R. Champneys, Chris J. Budd, Francesco Vasca
1998 J jnl
The Spatial Complexity of Localized Buckling in Rods with Noncircular Cross Section.
SIAM J. Appl. Math.
Alan R. Champneys, G. H. M. van der Heijden, J. Michael T. Thompson
1993 J jnl
Hunting for homoclinic orbits in reversible systems: A shooting technique.
Adv. Comput. Math.
Alan R. Champneys, Alastair Spence