Hunting for homoclinic orbits in reversible systems: A shooting technique. - Alan R. Champneys; Alastair Spence (Adv. Comput. Math., 1993)

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)

Sliding orbits and double spiral bifurcation diagrams in power electronic DC/DC converters. - Mario di Bernardo; Alan R. Champneys; Chris J. Budd; Francesco Vasca (ISCAS (5), 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)

Homoclinic Branch Switching: a Numerical Implementation of Lin's Method. - Bart E. Oldeman; Alan R. Champneys; Bernd Krauskopf (Int. J. Bifurc. Chaos, 2003)

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)

Resonance Tongue Interaction in the Parametrically Excited Column. - Alan R. Champneys; W. B. Fraser (SIAM J. Appl. Math., 2004)

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)

Efficient Numerical Continuation and Stability Analysis of Spatiotemporal Quadratic Optical Solitons. - David J. B. Lloyd; Alan R. Champneys (SIAM J. Sci. Comput., 2005)

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)

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)

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)

Piecewise smooth dynamical systems. - Alan R. Champneys; Mario di Bernardo (Scholarpedia, 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)

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)

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)

Discrete Traveling Solitons in the Salerno Model. - Thomas R. O. Melvin; Alan R. Champneys; Dmitry E. Pelinovsky (SIAM J. Appl. Dyn. Syst., 2009)

Dynamics of Parametric Excitation. - Alan R. Champneys (Encyclopedia of Complexity and Systems Science, 2009)

Discrete Snaking: Multiple Cavity Solitons in Saturable Media. - A. V. Yulin; Alan R. Champneys (SIAM J. Appl. Dyn. Syst., 2010)

Homoclinic Snakes Bounded by a Saddle-Center Periodic Orbit. - Alan R. Champneys; Edgar Knobloch; Yiping Ma 006; Thomas Wagenknecht (SIAM J. Appl. Dyn. Syst., 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)

LP Shilnikov 1934-2011: A Tribute From 'The West'. - Alan R. Champneys (Int. J. Bifurc. Chaos, 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)

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)

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)

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)

The Painleve paradox in contact mechanics. - Alan R. Champneys; Péter L. Várkonyi (CoRR, 2016)

A Model for Cell Polarization Without Mass Conservation. - Nicolás Verschueren; Alan R. Champneys (SIAM J. Appl. Dyn. Syst., 2017)

Dynamics Beyond Dynamic Jam; Unfolding the Painlevé Paradox Singularity. - Arne B. Nordmark; Péter L. Várkonyi; Alan R. Champneys (SIAM J. Appl. Dyn. Syst., 2018)

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)

ERRATUM: A Model for Cell Polarization without Mass Conservation. - Nicolás Verschueren; Alan R. Champneys (SIAM J. Appl. Dyn. Syst., 2019)

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 (WSC, 2021)

Degenerate Turing Bifurcation and the Birth of Localized Patterns in Activator-Inhibitor Systems. - Edgardo Villar-Sepúlveda; Alan R. Champneys (SIAM J. Appl. Dyn. Syst., 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., 2023)

Bifurcation of Limit Cycles from Boundary Equilibria in Impacting Hybrid Systems. - Hong Tang; Alan R. Champneys (SIAM J. Appl. Dyn. Syst., 2023)

Computation of Turing Bifurcation Normal Form for n-Component Reaction-Diffusion Systems. - Edgardo Villar-Sepúlveda; Alan R. Champneys (ACM Trans. Math. Softw., 2023)

Wave-Pinned Patterns for Cell Polarity - A Catastrophe Theory Explanation. - Fahad Al Saadi; Alan R. Champneys; Mike R. Jeffrey (SIAM J. Appl. Dyn. Syst., 2024)

Snakes, Ladders, and Breathers: Organization of Localized Patterns in Reaction-Diffusion Systems. - Fahad Al Saadi; Alan R. Champneys; Nicolas Verschueren (SIAM J. Appl. Dyn. Syst., 2025)