Alan R. Champneys

Publication Activity (10 Years)

Years Active: 1993-2024
Publications (10 Years): 11

Top Topics

Sensitivity Analysis

Mathematical Modeling

Top Venues

SIAM J. Appl. Dyn. Syst.

IEEE J. Emerg. Sel. Topics Circuits Syst.

Int. J. Bifurc. Chaos

Publications

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) (2024)
Hong Tang, Alan R. Champneys
Bifurcation of Limit Cycles from Boundary Equilibria in Impacting Hybrid Systems. SIAM J. Appl. Dyn. Syst. 22 (4) (2023)
Edgardo Villar-Sepúlveda, Alan R. Champneys
-Component Reaction-Diffusion Systems. ACM Trans. Math. Softw. 49 (4) (2023)
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) (2023)
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) (2023)
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)
Nicolas Verschueren, Alan R. Champneys
ERRATUM: A Model for Cell Polarization without Mass Conservation. SIAM J. Appl. Dyn. Syst. 18 (1) (2019)
Alan R. Champneys, Tim J. Dodwell, Rainer M. J. Groh, Giles W. Hunt, Robin M. Neville, Alberto Pirrera, Amir H. Sakhaei, Mark Schenk, M. Ahmer Wadee
Happy Catastrophe: Recent Progress in Analysis and Exploitation of Elastic Instability. Frontiers Appl. Math. Stat. 5 (2019)
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) (2018)
Nicolas Verschueren, Alan R. Champneys
A Model for Cell Polarization Without Mass Conservation. SIAM J. Appl. Dyn. Syst. 16 (4) (2017)
Alan R. Champneys, Péter L. Várkonyi
The Painleve paradox in contact mechanics. CoRR (2016)
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) (2015)
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) (2015)
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) (2014)
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) (2014)
Alan R. Champneys
LP Shilnikov 1934-2011: A Tribute From 'The West'. Int. J. Bifurc. Chaos 24 (8) (2014)
Alan R. Champneys, Edgar Knobloch, Yi-ping Ma, Thomas Wagenknecht
Homoclinic Snakes Bounded by a Saddle-Center Periodic Orbit. SIAM J. Appl. Dyn. Syst. 11 (4) (2012)
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) (2012)
A. V. Yulin, Alan R. Champneys
Discrete Snaking: Multiple Cavity Solitons in Saturable Media. SIAM J. Appl. Dyn. Syst. 9 (2) (2010)
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) (2009)
Thomas R. O. Melvin, Alan R. Champneys, Dmitry E. Pelinovsky
Discrete Traveling Solitons in the Salerno Model. SIAM J. Appl. Dyn. Syst. 8 (2) (2009)
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) (2008)
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) (2008)
Alan R. Champneys, Mario di Bernardo
Piecewise smooth dynamical systems. Scholarpedia 3 (9) (2008)
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) (2007)
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) (2006)
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) (2006)
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) (2005)
David J. B. Lloyd, Alan R. Champneys
Efficient Numerical Continuation and Stability Analysis of Spatiotemporal Quadratic Optical Solitons. SIAM J. Sci. Comput. 27 (3) (2005)
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) (2004)
Alan R. Champneys, W. B. Fraser
Resonance Tongue Interaction in the Parametrically Excited Column. SIAM J. Appl. Math. 65 (1) (2004)
Bart E. Oldeman, Alan R. Champneys, Bernd Krauskopf
Homoclinic Branch Switching: a Numerical Implementation of Lin's Method. Int. J. Bifurc. Chaos 13 (10) (2003)
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) (1999)
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)
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) (1998)
Alan R. Champneys, Alastair Spence
Hunting for homoclinic orbits in reversible systems: A shooting technique. Adv. Comput. Math. 1 (1) (1993)