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David J W Simpson
David J W Simpson
Senior Lecturer of Applied Mathematics, Massey University
Verified email at massey.ac.nz - Homepage
Title
Cited by
Cited by
Year
Bifurcations in piecewise-smooth continuous systems
DJW Simpson
World Scientific, 2010
2582010
Andronov–Hopf bifurcations in planar, piecewise-smooth, continuous flows
DJW Simpson, JD Meiss
Physics Letters A 371 (3), 213-220, 2007
802007
Neimark–Sacker bifurcations in planar, piecewise-smooth, continuous maps
DJWSJD Meiss
SIAM Journal on Applied Dynamical Systems 7 (3), 795-824, 2008
732008
Border-Collision Bifurcations in
DJW Simpson
siam REVIEW 58 (2), 177-226, 2016
672016
Shrinking point bifurcations of resonance tongues for piecewise-smooth, continuous maps
DJW Simpson, JD Meiss
Nonlinearity 22 (5), 1123, 2009
572009
Aspects of bifurcation theory for piecewise-smooth, continuous systems
DJW Simpson, JD Meiss
Physica D: Nonlinear Phenomena 241 (22), 1861-1868, 2012
552012
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
492014
Mixed-mode oscillations in a stochastic, piecewise-linear system
DJW Simpson, R Kuske
Physica D: Nonlinear Phenomena 240 (14-15), 1189-1198, 2011
432011
A compendium of Hopf-like bifurcations in piecewise-smooth dynamical systems
DJW Simpson
Physics Letters A 382 (35), 2439-2444, 2018
412018
Twenty Hopf-like bifurcations in piecewise-smooth dynamical systems
DJW Simpson
Physics Reports 970, 1-80, 2022
322022
Stochastically perturbed sliding motion in piecewise-smooth systems
DJW Simpson, R Kuske
arXiv preprint arXiv:1204.5792, 2012
322012
Stochastic regular grazing bifurcations
DJW Simpson, SJ Hogan, R Kuske
SIAM Journal on Applied Dynamical Systems 12 (2), 533-559, 2013
312013
Scaling laws for large numbers of coexisting attracting periodic solutions in the border-collision normal form
DJW Simpson
arXiv preprint arXiv:1403.4678, 2014
262014
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
242018
Beyond the Bristol book: Advances and perspectives in non-smooth dynamics and applications
I Belykh, R Kuske, M Porfiri, DJW Simpson
Chaos: An Interdisciplinary Journal of Nonlinear Science 33 (1), 2023
232023
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
232021
Discontinuity induced bifurcations in a model of Saccharomyces cerevisiae
DJW Simpson, DS Kompala, JD Meiss
Mathematical biosciences 218 (1), 40-49, 2009
222009
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
222005
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
212020
Resonance near border-collision bifurcations in piecewise-smooth, continuous maps
DJW Simpson, JD Meiss
Nonlinearity 23 (12), 3091, 2010
212010
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