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ORCIDDavid J. W. Simpson
Person information
- affiliation: Massey University, Institute of Fundamental Sciences, Palmerston North, New Zealand
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2020 – today
- 2025
[j20]Indranil Ghosh, Robert I. McLachlan, David J. W. Simpson:
Robust Chaos in Orientation-Reversing and Non-Invertible Two-Dimensional Piecewise-Linear Maps. J. Nonlinear Sci. 35(1): 16 (2025)- 2024
- [j19]Indranil Ghosh
, Robert I. McLachlan, David J. W. Simpson:
The bifurcation structure within robust chaos for two-dimensional piecewise-linear maps. Commun. Nonlinear Sci. Numer. Simul. 134: 108025 (2024) - 2023
- [j18]Hammed Olawale Fatoyinbo, David J. W. Simpson:
A Synopsis of the Noninvertible, Two-Dimensional, Border-Collision Normal Form with Applications to Power Converters. Int. J. Bifurc. Chaos 33(8): 2330019:1-2330019:16 (2023) - [j17]Paul A. Glendinning, David J. W. Simpson:
Normal Forms, Differentiable Conjugacies, and Elementary Bifurcations of Maps. SIAM J. Appl. Math. 83(2): 816-836 (2023) - 2022
- [j16]Paul A. Glendinning, David J. W. Simpson:
Chaos in the border-collision normal form: A computer-assisted proof using induced maps and invariant expanding cones. Appl. Math. Comput. 434: 127357 (2022) - [j15]Indranil Ghosh, David J. W. Simpson:
Renormalization of the Two-Dimensional Border-Collision Normal Form. Int. J. Bifurc. Chaos 32(12): 2250181:1-2250181:20 (2022) - 2020
- [j14]David J. W. Simpson:
Unfolding Codimension-Two Subsumed Homoclinic Connections in Two-Dimensional Piecewise-Linear Maps. Int. J. Bifurc. Chaos 30(3): 2030006:1-2030006:12 (2020)
2010 – 2019
- 2019
- [j13]Howida A. Al Fran, David J. W. Simpson, Christopher P. Tuffley:
Characterisation and classification of signatures of spanning trees of the n-cube. Australas. J Comb. 75: 259-295 (2019) - 2018
- [j12]Mike R. Jeffrey, Georgios Kafanas, David J. W. Simpson:
Jitter in Piecewise-Smooth Dynamical Systems with Intersecting Discontinuity Surfaces. Int. J. Bifurc. Chaos 28(6): 1830020:1-1830020:22 (2018) - 2017
- [j11]David J. W. Simpson, Christopher P. Tuffley:
Subsumed Homoclinic Connections and Infinitely Many Coexisting Attractors in Piecewise-Linear Maps. Int. J. Bifurc. Chaos 27(2): 1730010:1-1730010:20 (2017) - [j10]David J. W. Simpson:
Grazing-Sliding Bifurcations Creating Infinitely Many Attractors. Int. J. Bifurc. Chaos 27(12): 1730042:1-1730042:15 (2017) - 2016
- [j9]David J. W. Simpson:
Border-Collision Bifurcations in ℝN. SIAM Rev. 58(2): 177-226 (2016) - 2015
- [j8]Larisa Kiseleva, Sofya K. Garushyants, Hongwu Ma, David J. W. Simpson, Viatcheslav Fedorovich, Michael F. Cohen, Igor Goryanin:
Taxonomic and functional metagenomic analysis of anodic communities in two pilot-scale microbial fuel cells treating different industrial wastewaters. J. Integr. Bioinform. 12(3) (2015) - [j7]David J. W. Simpson, Rachel Kuske:
Stochastic Perturbations of Periodic Orbits with Sliding. J. Nonlinear Sci. 25(4): 967-1014 (2015) - 2014
- [j6]David J. W. Simpson:
On the relative coexistence of fixed points and period-two solutions near border-collision bifurcations. Appl. Math. Lett. 38: 162-167 (2014) - [j5]David J. W. Simpson:
Sequences of Periodic Solutions and Infinitely Many Coexisting Attractors in the Border-Collision Normal Form. Int. J. Bifurc. Chaos 24(6) (2014) - [j4]David J. W. Simpson:
Scaling Laws for Large Numbers of Coexisting Attracting Periodic Solutions in the Border-Collision Normal Form. Int. J. Bifurc. Chaos 24(9) (2014) - 2013
- [j3]David J. W. Simpson, Stephen John Hogan, Rachel Kuske:
Stochastic Regular Grazing Bifurcations. SIAM J. Appl. Dyn. Syst. 12(2): 533-559 (2013) - 2012
- [j2]David J. W. Simpson, Rachel Kuske, Yue-Xian Li:
Dynamics of Simple Balancing Models with Time-Delayed Switching Feedback Control. J. Nonlinear Sci. 22(2): 135-167 (2012)
2000 – 2009
- 2008
- [j1]David J. W. Simpson, James D. Meiss:
Neimark-Sacker Bifurcations in Planar, Piecewise-Smooth, Continuous Maps. SIAM J. Appl. Dyn. Syst. 7(3): 795-824 (2008)
Coauthor Index
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