Bifurcations in piecewise-smooth continuous systems DJW Simpson
World Scientific, 2010
231 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
68 2008 Border-Collision Bifurcations in DJW Simpson
siam REVIEW 58 (2), 177-226, 2016
59 2016 Shrinking point bifurcations of resonance tongues for piecewise-smooth, continuous maps DJW Simpson, JD Meiss
Nonlinearity 22 (5), 1123, 2009
57 2009 Aspects of bifurcation theory for piecewise-smooth, continuous systems DJW Simpson, JD Meiss
Physica D: Nonlinear Phenomena 241 (22), 1861-1868, 2012
51 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
42 2011 A compendium of Hopf-like bifurcations in piecewise-smooth dynamical systems DJW Simpson
Physics Letters A 382 (35), 2439-2444, 2018
36 2018 Stochastically perturbed sliding motion in piecewise-smooth systems DJW Simpson, R Kuske
arXiv preprint arXiv:1204.5792, 2012
33 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 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 Twenty Hopf-like bifurcations in piecewise-smooth dynamical systems DJW Simpson
Physics Reports 970, 1-80, 2022
21 2022 A constructive approach to robust chaos using invariant manifolds and expanding cones PA Glendinning, DJW Simpson
Discrete and Continuous Dynamical Systems 41 (7), 3367-3387, 2020
21 2020 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 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
20 2018 The structure of mode-locking regions of piecewise-linear continuous maps: I. Nearby mode-locking regions and shrinking points DJW Simpson
Nonlinearity 30 (1), 382, 2016
20 2016 Stochastic perturbations of periodic orbits with sliding DJW Simpson, R Kuske
Journal of Nonlinear Science 25, 967-1014, 2015
20 2015 Discontinuity induced bifurcations in a model of Saccharomyces cerevisiae DJW Simpson, DS Kompala, JD Meiss
Mathematical biosciences 218 (1), 40-49, 2009
20 2009