| Real-time robot path planning based on a modified pulse-coupled neural network model H Qu, SX Yang, AR Willms, Z Yi IEEE Transactions on Neural Networks 20 (11), 1724-1739, 2009 | 179 | 2009 |
| An efficient dynamic system for real-time robot-path planning AR Willms, SX Yang IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics) 36 …, 2006 | 171 | 2006 |
| An improved parameter estimation method for Hodgkin-Huxley models AR Willms, DJ Baro, RM Harris-Warrick, J Guckenheimer Journal of computational neuroscience 6, 145-168, 1999 | 158 | 1999 |
| Impulsive controllability of linear dynamical systems with applications to maneuvers of spacecraft X Liu, AR Willms Mathematical Problems in Engineering 2, 277-299, 1996 | 158 | 1996 |
| Bifurcation, bursting, and spike frequency adaptation J Guckenheimer, R Harris-Warrick, J Peck, A Willms Journal of computational neuroscience 4, 257-277, 1997 | 149 | 1997 |
| Quantitative Single-Cell-Reverse Transcription-PCR Demonstrates That A-Current Magnitude Varies as a Linear Function ofshal Gene Expression in Identified Stomatogastric Neurons DJ Baro, RM Levini, MT Kim, AR Willms, CC Lanning, HE Rodriguez, ... Journal of Neuroscience 17 (17), 6597-6610, 1997 | 126 | 1997 |
| Real-time robot path planning via a distance-propagating dynamic system with obstacle clearance AR Willms, SX Yang IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics) 38 …, 2008 | 95 | 2008 |
| Analytic results for the eigenvalues of certain tridiagonal matrices AR Willms SIAM journal on matrix analysis and applications 30 (2), 639-656, 2008 | 59 | 2008 |
| Stability analysis and applications to large scale impulsive systems: a new approach X Liu, A Willms Canad. Appl. Math. Quart 3 (4), 419-444, 1995 | 53 | 1995 |
| Huygens’ clocks revisited AR Willms, PM Kitanov, WF Langford Royal Society open science 4 (9), 170777, 2017 | 51 | 2017 |
| Asymptotic analysis of subcritical Hopf–homoclinic bifurcation J Guckenheimer, AR Willms Physica D: Nonlinear Phenomena 139 (3-4), 195-216, 2000 | 47 | 2000 |
| An SEIR model of influenza A virus infection and reinfection within a farrow-to-finish swine farm F Etbaigha, A R. Willms, Z Poljak PLOS one 13 (9), e0202493, 2018 | 45 | 2018 |
| NEUROFIT: software for fitting Hodgkin–Huxley models to voltage-clamp data AR Willms Journal of neuroscience methods 121 (2), 139-150, 2002 | 30 | 2002 |
| Bifurcations in the fast dynamics of neurons: implications for bursting J Guckeheimer, JH Tien, AR Willms Bursting: the genesis of rhythm in the nervous system, 89-122, 2005 | 29 | 2005 |
| Static recipient cells as reservoirs of antibiotic resistance during antibiotic therapy AR Willms, PD Roughan, JA Heinemann Theoretical population biology 70 (4), 436-451, 2006 | 23 | 2006 |
| Impulsive stabilizability of autonomous systems XZ Liu, A Willms Journal of Mathematical Analysis and Applications 187 (1), 17-39, 1994 | 22 | 1994 |
| A mathematical model of cytokine dynamics during a cytokine storm M Waito, SR Walsh, A Rasiuk, BW Bridle, AR Willms Mathematical and Computational Approaches in Advancing Modern Science and …, 2016 | 21 | 2016 |
| Parameter range reduction for ODE models using cumulative backward differentiation formulas AR Willms Journal of computational and applied mathematics 203 (1), 87-102, 2007 | 15 | 2007 |
| An energy balance model for paleoclimate transitions B Dortmans, WF Langford, AR Willms Climate of the Past 15 (2), 493-520, 2019 | 13 | 2019 |
| Double Hopf bifurcation with Huygens symmetry PM Kitanov, W Langford, AR Willms SIAM Journal on Applied Dynamical Systems 12 (1), 126-174, 2013 | 11 | 2013 |
