| Bifurcations in piecewise-smooth continuous systems DJW Simpson World Scientific, 2010 | 241 | 2010 |
| Andronov–Hopf bifurcations in planar, piecewise-smooth, continuous flows DJW Simpson, JD Meiss Physics Letters A 371 (3), 213-220, 2007 | 78 | 2007 |
| Neimark–Sacker bifurcations in planar, piecewise-smooth, continuous maps DJWSJD Meiss SIAM Journal on Applied Dynamical Systems 7 (3), 795-824, 2008 | 69 | 2008 |
| Border-Collision Bifurcations in DJW Simpson siam REVIEW 58 (2), 177-226, 2016 | 62 | 2016 |
| Shrinking point bifurcations of resonance tongues for piecewise-smooth, continuous maps DJW Simpson, JD Meiss Nonlinearity 22 (5), 1123, 2009 | 56 | 2009 |
| Aspects of bifurcation theory for piecewise-smooth, continuous systems DJW Simpson, JD Meiss Physica D: Nonlinear Phenomena 241 (22), 1861-1868, 2012 | 52 | 2012 |
| Sequences of periodic solutions and infinitely many coexisting attractors in the border-collision normal form DJW Simpson International Journal of Bifurcation and Chaos 24 (06), 1430018, 2014 | 48 | 2014 |
| Mixed-mode oscillations in a stochastic, piecewise-linear system DJW Simpson, R Kuske Physica D: Nonlinear Phenomena 240 (14-15), 1189-1198, 2011 | 41 | 2011 |
| A compendium of Hopf-like bifurcations in piecewise-smooth dynamical systems DJW Simpson Physics Letters A 382 (35), 2439-2444, 2018 | 37 | 2018 |
| Stochastically perturbed sliding motion in piecewise-smooth systems DJW Simpson, R Kuske arXiv preprint arXiv:1204.5792, 2012 | 32 | 2012 |
| Stochastic regular grazing bifurcations DJW Simpson, SJ Hogan, R Kuske SIAM Journal on Applied Dynamical Systems 12 (2), 533-559, 2013 | 31 | 2013 |
| Scaling laws for large numbers of coexisting attracting periodic solutions in the border-collision normal form DJW Simpson arXiv preprint arXiv:1403.4678, 2014 | 25 | 2014 |
| Twenty Hopf-like bifurcations in piecewise-smooth dynamical systems DJW Simpson Physics Reports 970, 1-80, 2022 | 23 | 2022 |
| Jitter in piecewise-smooth dynamical systems with intersecting discontinuity surfaces MR Jeffrey, G Kafanas, DJW Simpson International Journal of Bifurcation and Chaos 28 (06), 1830020, 2018 | 23 | 2018 |
| A constructive approach to robust chaos using invariant manifolds and expanding cones PA Glendinning, DJW Simpson Discrete & Continuous Dynamical Systems 41 (7), 3367-3387, 2021 | 21 | 2021 |
| Complex oscillations and waves of calcium in pancreatic acinar cells D Simpson, V Kirk, J Sneyd Physica D: Nonlinear Phenomena 200 (3-4), 303-324, 2005 | 21 | 2005 |
| Resonance near border-collision bifurcations in piecewise-smooth, continuous maps DJW Simpson, JD Meiss Nonlinearity 23 (12), 3091, 2010 | 20 | 2010 |
| Discontinuity induced bifurcations in a model of Saccharomyces cerevisiae DJW Simpson, DS Kompala, JD Meiss Mathematical biosciences 218 (1), 40-49, 2009 | 20 | 2009 |
| Nordmark map and the problem of large-amplitude chaos in impact oscillators DJW Simpson, V Avrutin, S Banerjee Physical Review E 102 (2), 022211, 2020 | 19 | 2020 |
| The influence of localized randomness on regular grazing bifurcations with applications to impacting dynamics DJW Simpson, R Kuske Journal of vibration and control 24 (2), 407-426, 2018 | 19 | 2018 |
