Alan R. Champneys

According to our database, Alan R. Champneys authored at least 37 papers between 1993 and 2024.

Collaborative distances:

• Dijkstra number of five.
• Erdős number of four.

2024

Wave-Pinned Patterns for Cell Polarity - A Catastrophe Theory Explanation.

Fahad Al Saadi, Alan R. Champneys, Mike R. Jeffrey

SIAM J. Appl. Dyn. Syst., March, 2024

2023

Computation of Turing Bifurcation Normal Form for <i>n</i>-Component Reaction-Diffusion Systems.

Edgardo Villar-Sepúlveda, Alan R. Champneys

ACM Trans. Math. Softw., December, 2023

Bifurcation of Limit Cycles from Boundary Equilibria in Impacting Hybrid Systems.

Hong Tang, Alan R. Champneys

SIAM J. Appl. Dyn. Syst., December, 2023

Organization of Spatially Localized Structures near a Codimension-Three Cusp-Turing Bifurcation.

Pedro Parra-Rivas, Alan R. Champneys, Fahad Al Saadi, Damià Gomila, Edgar Knobloch

SIAM J. Appl. Dyn. Syst., December, 2023

Degenerate Turing Bifurcation and the Birth of Localized Patterns in Activator-Inhibitor Systems.

Edgardo Villar-Sepúlveda, Alan R. Champneys

SIAM J. Appl. Dyn. Syst., September, 2023

2021

Modeling Of Waiting Lists For Chronic Heart Failure In The Wake Of The COVID-19 Pandemic.

Alan F. Wise, Lucy E. Morgan, Alexander Heib, Christine S. M. Currie, Alan R. Champneys, Nadarajah Ramesh, Chris Gale, Mamas Mamas

Proceedings of the Winter Simulation Conference, 2021

2019

ERRATUM: A Model for Cell Polarization without Mass Conservation.

Nicolas Verschueren, Alan R. Champneys

SIAM J. Appl. Dyn. Syst., 2019

Happy Catastrophe: Recent Progress in Analysis and Exploitation of Elastic Instability.

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

Frontiers Appl. Math. Stat., 2019

2018

Dynamics Beyond Dynamic Jam; Unfolding the Painlevé Paradox Singularity.

Arne B. Nordmark, Péter L. Várkonyi, Alan R. Champneys

SIAM J. Appl. Dyn. Syst., 2018

2017

A Model for Cell Polarization Without Mass Conservation.

Nicolas Verschueren, Alan R. Champneys

SIAM J. Appl. Dyn. Syst., 2017

2016

The Painleve paradox in contact mechanics.

Alan R. Champneys, Péter L. Várkonyi

CoRR, 2016

2015

Stripe to Spot Transition in a Plant Root Hair Initiation Model.

Victor F. Brena-Medina, Daniele Avitabile, Alan R. Champneys, Michael Jeffrey Ward

SIAM J. Appl. Math., 2015

Analytical Approximations of Critical Clearing Time for Parametric Analysis of Power System Transient Stability.

Lewis G. W. Roberts, Alan R. Champneys, Keith R. W. Bell, Mario di Bernardo

IEEE J. Emerg. Sel. Topics Circuits Syst., 2015

2014

Mathematical Modeling of Plant Root Hair Initiation: Dynamics of Localized Patches.

Victor Brena-Medina, Alan R. Champneys, C. Grierson, Michael Jeffrey Ward

SIAM J. Appl. Dyn. Syst., 2014

Bifurcation Analysis of a Simplified Model of a Pressure Relief Valve Attached to a Pipe.

Csaba Bazsó, Alan R. Champneys, Csaba J. Hös

SIAM J. Appl. Dyn. Syst., 2014

LP Shilnikov 1934-2011: A Tribute From 'The West'.

Alan R. Champneys

Int. J. Bifurc. Chaos, 2014

2012

Codimension-Two Homoclinic Bifurcations Underlying Spike Adding in the Hindmarsh-Rose Burster.

Daniele Linaro, Alan R. Champneys, Mathieu Desroches, Marco Storace

SIAM J. Appl. Dyn. Syst., 2012

Homoclinic Snakes Bounded by a Saddle-Center Periodic Orbit.

Alan R. Champneys, Edgar Knobloch, Yi-ping Ma, Thomas Wagenknecht

SIAM J. Appl. Dyn. Syst., 2012

2010

Discrete Snaking: Multiple Cavity Solitons in Saturable Media.

A. V. Yulin, Alan R. Champneys

SIAM J. Appl. Dyn. Syst., 2010

2009

Dynamics of Parametric Excitation.

Alan R. Champneys

Proceedings of the Encyclopedia of Complexity and Systems Science, 2009

Discrete Traveling Solitons in the Salerno Model.

Thomas R. O. Melvin, Alan R. Champneys, Dmitry E. Pelinovsky

SIAM J. Appl. Dyn. Syst., 2009

Unfolding a Tangent Equilibrium-to-Periodic Heteroclinic Cycle.

Alan R. Champneys, Vivien Kirk, Edgar Knobloch, Bart E. Oldeman, Jens D. M. Rademacher

SIAM J. Appl. Dyn. Syst., 2009

2008

Bifurcations in Nonsmooth Dynamical Systems.

Mario di Bernardo, Chris J. Budd, Alan R. Champneys, Piotr Kowalczyk, Arne B. Nordmark, Gerard Olivar Tost, Petri T. Piiroinen

SIAM Rev., 2008

Localized Hexagon Patterns of the Planar Swift-Hohenberg Equation.

David J. B. Lloyd, Björn Sandstede, Daniele Avitabile, Alan R. Champneys

SIAM J. Appl. Dyn. Syst., 2008

Piecewise smooth dynamical systems.

Alan R. Champneys, Mario di Bernardo

Scholarpedia, 2008

2007

When Shil'nikov Meets Hopf in Excitable Systems.

Alan R. Champneys, Vivien Kirk, Edgar Knobloch, Bart E. Oldeman, James Sneyd

SIAM J. Appl. Dyn. Syst., 2007

2006

Stability and Bifurcation Analysis of a Spinning Space Tether.

Juan Valverde García, Jose Luis Escalona Franco, Jaime Dominguez Abascal, Alan R. Champneys

J. Nonlinear Sci., 2006

Two-Parameter Discontinuity-Induced bifurcations of Limit Cycles: Classification and Open Problems.

Piotr Kowalczyk, Mario di Bernardo, Alan R. Champneys, Stephen John Hogan, Martin E. Homer, Petri T. Piiroinen, Yuri A. Kuznetsov, Arne B. Nordmark

Int. J. Bifurc. Chaos, 2006

2005

Efficient Numerical Continuation and Stability Analysis of Spatiotemporal Quadratic Optical Solitons.

David J. B. Lloyd, Alan R. Champneys

SIAM J. Sci. Comput., 2005

Grazing Bifurcations and Chaos in the Dynamics of a Hydraulic Damper with Relief Valves.

Richard D. Eyres, Petri T. Piiroinen, Alan R. Champneys, N. A. J. Lieven

SIAM J. Appl. Dyn. Syst., 2005

2004

Resonance Tongue Interaction in the Parametrically Excited Column.

Alan R. Champneys, W. B. Fraser

SIAM J. Appl. Math., 2004

Chaos and Period-Adding; Experimental and Numerical Verification of the Grazing Bifurcation.

Petri T. Piiroinen, Lawrence N. Virgin, Alan R. Champneys

J. Nonlinear Sci., 2004

2003

Homoclinic Branch Switching: a Numerical Implementation of Lin's Method.

Bart E. Oldeman, Alan R. Champneys, Bernd Krauskopf

Int. J. Bifurc. Chaos, 2003

1999

Computation of Homoclinic Orbits in Partial Differential Equations: An Application to Cylindrical Shell Buckling.

Gabriel J. Lord, Alan R. Champneys, Giles W. Hunt

SIAM J. Sci. Comput., 1999

Sliding orbits and double spiral bifurcation diagrams in power electronic DC/DC converters.

Mario di Bernardo, Alan R. Champneys, Chris J. Budd, Francesco Vasca

Proceedings of the 1999 International Symposium on Circuits and Systems, ISCAS 1999, Orlando, Florida, USA, May 30, 1999

1998

The Spatial Complexity of Localized Buckling in Rods with Noncircular Cross Section.

Alan R. Champneys, G. H. M. van der Heijden, J. Michael T. Thompson

SIAM J. Appl. Math., 1998

1993

Hunting for homoclinic orbits in reversible systems: A shooting technique.

Alan R. Champneys, Alastair Spence

Adv. Comput. Math., 1993