Alan R. Champneys

Orcid: 0000-0001-7772-3686

According to our database1, Alan R. Champneys authored at least 37 papers between 1993 and 2024.

Collaborative distances:
  • Dijkstra number2 of five.
  • Erdős number3 of four.



In proceedings 
PhD thesis 




Wave-Pinned Patterns for Cell Polarity - A Catastrophe Theory Explanation.
SIAM J. Appl. Dyn. Syst., March, 2024

Computation of Turing Bifurcation Normal Form for <i>n</i>-Component Reaction-Diffusion Systems.
ACM Trans. Math. Softw., December, 2023

Bifurcation of Limit Cycles from Boundary Equilibria in Impacting Hybrid Systems.
SIAM J. Appl. Dyn. Syst., December, 2023

Organization of Spatially Localized Structures near a Codimension-Three Cusp-Turing Bifurcation.
SIAM J. Appl. Dyn. Syst., December, 2023

Degenerate Turing Bifurcation and the Birth of Localized Patterns in Activator-Inhibitor Systems.
SIAM J. Appl. Dyn. Syst., September, 2023

Modeling Of Waiting Lists For Chronic Heart Failure In The Wake Of The COVID-19 Pandemic.
Proceedings of the Winter Simulation Conference, 2021

ERRATUM: A Model for Cell Polarization without Mass Conservation.
SIAM J. Appl. Dyn. Syst., 2019

Happy Catastrophe: Recent Progress in Analysis and Exploitation of Elastic Instability.
Frontiers Appl. Math. Stat., 2019

Dynamics Beyond Dynamic Jam; Unfolding the Painlevé Paradox Singularity.
SIAM J. Appl. Dyn. Syst., 2018

A Model for Cell Polarization Without Mass Conservation.
SIAM J. Appl. Dyn. Syst., 2017

The Painleve paradox in contact mechanics.
CoRR, 2016

Stripe to Spot Transition in a Plant Root Hair Initiation Model.
SIAM J. Appl. Math., 2015

Analytical Approximations of Critical Clearing Time for Parametric Analysis of Power System Transient Stability.
IEEE J. Emerg. Sel. Topics Circuits Syst., 2015

Mathematical Modeling of Plant Root Hair Initiation: Dynamics of Localized Patches.
SIAM J. Appl. Dyn. Syst., 2014

Bifurcation Analysis of a Simplified Model of a Pressure Relief Valve Attached to a Pipe.
SIAM J. Appl. Dyn. Syst., 2014

LP Shilnikov 1934-2011: A Tribute From 'The West'.
Int. J. Bifurc. Chaos, 2014

Codimension-Two Homoclinic Bifurcations Underlying Spike Adding in the Hindmarsh-Rose Burster.
SIAM J. Appl. Dyn. Syst., 2012

Homoclinic Snakes Bounded by a Saddle-Center Periodic Orbit.
SIAM J. Appl. Dyn. Syst., 2012

Discrete Snaking: Multiple Cavity Solitons in Saturable Media.
SIAM J. Appl. Dyn. Syst., 2010

Dynamics of Parametric Excitation.
Proceedings of the Encyclopedia of Complexity and Systems Science, 2009

Discrete Traveling Solitons in the Salerno Model.
SIAM J. Appl. Dyn. Syst., 2009

Unfolding a Tangent Equilibrium-to-Periodic Heteroclinic Cycle.
SIAM J. Appl. Dyn. Syst., 2009

Bifurcations in Nonsmooth Dynamical Systems.
SIAM Rev., 2008

Localized Hexagon Patterns of the Planar Swift-Hohenberg Equation.
SIAM J. Appl. Dyn. Syst., 2008

Piecewise smooth dynamical systems.
Scholarpedia, 2008

When Shil'nikov Meets Hopf in Excitable Systems.
SIAM J. Appl. Dyn. Syst., 2007

Stability and Bifurcation Analysis of a Spinning Space Tether.
J. Nonlinear Sci., 2006

Two-Parameter Discontinuity-Induced bifurcations of Limit Cycles: Classification and Open Problems.
Int. J. Bifurc. Chaos, 2006

Efficient Numerical Continuation and Stability Analysis of Spatiotemporal Quadratic Optical Solitons.
SIAM J. Sci. Comput., 2005

Grazing Bifurcations and Chaos in the Dynamics of a Hydraulic Damper with Relief Valves.
SIAM J. Appl. Dyn. Syst., 2005

Resonance Tongue Interaction in the Parametrically Excited Column.
SIAM J. Appl. Math., 2004

Chaos and Period-Adding; Experimental and Numerical Verification of the Grazing Bifurcation.
J. Nonlinear Sci., 2004

Homoclinic Branch Switching: a Numerical Implementation of Lin's Method.
Int. J. Bifurc. Chaos, 2003

Computation of Homoclinic Orbits in Partial Differential Equations: An Application to Cylindrical Shell Buckling.
SIAM J. Sci. Comput., 1999

Sliding orbits and double spiral bifurcation diagrams in power electronic DC/DC converters.
Proceedings of the 1999 International Symposium on Circuits and Systems, ISCAS 1999, Orlando, Florida, USA, May 30, 1999

The Spatial Complexity of Localized Buckling in Rods with Noncircular Cross Section.
SIAM J. Appl. Math., 1998

Hunting for homoclinic orbits in reversible systems: A shooting technique.
Adv. Comput. Math., 1993