Alan R. Champneys - researchr alias

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Viewing Publication 1 - 31 from 31

2024

Wave-Pinned Patterns for Cell Polarity - A Catastrophe Theory ExplanationFahad Al Saadi, Alan R. Champneys, Mike R. Jeffrey. siamads, 23(1):721-747, March 2024. [doi]

2023

Organization of Spatially Localized Structures near a Codimension-Three Cusp-Turing BifurcationPedro Parra-Rivas, Alan R. Champneys, Fahad Al Saadi, Damià Gomila, Edgar Knobloch. siamads, 22(4):2693-2731, December 2023. [doi]

Bifurcation of Limit Cycles from Boundary Equilibria in Impacting Hybrid SystemsHong Tang, Alan R. Champneys. siamads, 22(4):3320-3357, December 2023. [doi]

Degenerate Turing Bifurcation and the Birth of Localized Patterns in Activator-Inhibitor SystemsEdgardo Villar-Sepúlveda, Alan R. Champneys. siamads, 22(3):1673-1709, September 2023. [doi]

n-Component Reaction-Diffusion SystemsEdgardo Villar-Sepúlveda, Alan R. Champneys. TOMS, 49(4), December 2023. [doi]

Degenerate Turing Bifurcation and the Birth of Localized Patterns in Activator-Inhibitor SystemsEdgardo Villar-Sepúlveda, Alan R. Champneys. siamads, 22(3):1673-1709, September 2023. [doi]

2021

Modeling Of Waiting Lists For Chronic Heart Failure In The Wake Of The COVID-19 PandemicAlan F. Wise, Lucy E. Morgan, Alexander Heib, Christine S. M. Currie, Alan R. Champneys, Nadarajah Ramesh, Chris Gale, Mamas Mamas. wsc 2021: 1-11 [doi]

2019

Happy Catastrophe: Recent Progress in Analysis and Exploitation of Elastic InstabilityAlan 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. fams, 5:34, 2019. [doi]

ERRATUM: A Model for Cell Polarization without Mass ConservationNicolas Verschueren, Alan R. Champneys. siamads, 18(1):594-595, 2019. [doi]

2018

Dynamics Beyond Dynamic Jam; Unfolding the Painlevé Paradox SingularityArne B. Nordmark, Péter L. Várkonyi, Alan R. Champneys. siamads, 17(2):1267-1309, 2018. [doi]

2017

A Model for Cell Polarization Without Mass ConservationNicolas Verschueren, Alan R. Champneys. siamads, 16(4):1797-1830, 2017. [doi]

2015

Stripe to Spot Transition in a Plant Root Hair Initiation ModelV. F. Brena-Medina, Daniele Avitabile, Alan R. Champneys, Michael J. Ward. siamam, 75(3):1090-1119, 2015. [doi]

Analytical Approximations of Critical Clearing Time for Parametric Analysis of Power System Transient StabilityLewis G. W. Roberts, Alan R. Champneys, Keith R. W. Bell, Mario di Bernardo. esticas, 5(3):465-476, 2015. [doi]

2014

Bifurcation Analysis of a Simplified Model of a Pressure Relief Valve Attached to a PipeCsaba Bazsó, Alan R. Champneys, Csaba J. Hös. siamads, 13(2):704-721, 2014. [doi]

Mathematical Modeling of Plant Root Hair Initiation: Dynamics of Localized PatchesV. Brena-Medina, Alan R. Champneys, C. Grierson, M. J. Ward. siamads, 13(1):210-248, 2014. [doi]

LP Shilnikov 1934-2011: A Tribute From 'The West'Alan R. Champneys. IJBC, 24(8), 2014. [doi]

2012

Homoclinic Snakes Bounded by a Saddle-Center Periodic OrbitAlan R. Champneys, Edgar Knobloch, Y. P. Ma, Thomas Wagenknecht. siamads, 11(4):1583-1613, 2012. [doi]

Codimension-Two Homoclinic Bifurcations Underlying Spike Adding in the Hindmarsh-Rose BursterDaniele Linaro, Alan R. Champneys, Mathieu Desroches, Marco Storace. siamads, 11(3):939-962, 2012. [doi]

2009

Unfolding a Tangent Equilibrium-to-Periodic Heteroclinic CycleAlan R. Champneys, Vivien Kirk, Edgar Knobloch, Bart E. Oldeman, Jens D. M. Rademacher. siamads, 8(3):1261-1304, 2009. [doi]

Discrete Traveling Solitons in the Salerno ModelThomas R. O. Melvin, Alan R. Champneys, Dmitry E. Pelinovsky. siamads, 8(2):689-709, 2009. [doi]

2008

2007

When Shil nikov Meets Hopf in Excitable SystemsAlan R. Champneys, Vivien Kirk, Edgar Knobloch, Bart E. Oldeman, James Sneyd. siamads, 6(4):663-693, 2007. [doi]

2006

Stability and Bifurcation Analysis of a Spinning Space TetherJuan Valverde García, Jose Luis Escalona Franco, Jaime Dominguez Abascal, Alan R. Champneys. jns, 16(5):507-542, 2006. [doi]

2005

Grazing Bifurcations and Chaos in the Dynamics of a Hydraulic Damper with Relief ValvesRichard D. Eyres, Petri T. Piiroinen, Alan R. Champneys, N. A. J. Lieven. siamads, 4(4):1076-1106, 2005. [doi]

2004

Chaos and Period-Adding; Experimental and Numerical Verification of the Grazing BifurcationPetri T. Piiroinen, Lawrence N. Virgin, Alan R. Champneys. jns, 14(4):383-404, 2004. [doi]

2003

Homoclinic Branch Switching: a Numerical Implementation of Lin s MethodBart E. Oldeman, Alan R. Champneys, Bernd Krauskopf. IJBC, 13(10):2977-2999, 2003. [doi]

1999

Computation of Homoclinic Orbits in Partial Differential Equations: An Application to Cylindrical Shell BucklingGabriel J. Lord, Alan R. Champneys, G. W. Hunt. siamsc, 21(2):591-619, 1999. [doi]

1998

The Spatial Complexity of Localized Buckling in Rods with Noncircular Cross SectionAlan R. Champneys, G. H. M. van der Heijden, J. M. T. Thompson. siamam, 59(1):198-221, 1998. [doi]

1993

Hunting for homoclinic orbits in reversible systems: A shooting techniqueAlan R. Champneys, Alastair Spence. adcm, 1(1):81-108, 1993. [doi]

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