David J. W. Simpson

Orcid: 0000-0002-0284-6283

Affiliations:
  • Massey University, Institute of Fundamental Sciences, Palmerston North, New Zealand


According to our database1, David J. W. Simpson authored at least 19 papers between 2008 and 2024.

Collaborative distances:
  • Dijkstra number2 of five.
  • Erdős number3 of four.

Timeline

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Bibliography

2024
The bifurcation structure within robust chaos for two-dimensional piecewise-linear maps.
Commun. Nonlinear Sci. Numer. Simul., 2024

2023
A Synopsis of the Noninvertible, Two-Dimensional, Border-Collision Normal Form with Applications to Power Converters.
Int. J. Bifurc. Chaos, June, 2023

Normal Forms, Differentiable Conjugacies, and Elementary Bifurcations of Maps.
SIAM J. Appl. Math., April, 2023

2022
Renormalization of the Two-Dimensional Border-Collision Normal Form.
Int. J. Bifurc. Chaos, 2022

Chaos in the border-collision normal form: A computer-assisted proof using induced maps and invariant expanding cones.
Appl. Math. Comput., 2022

2020
Unfolding Codimension-Two Subsumed Homoclinic Connections in Two-Dimensional Piecewise-Linear Maps.
Int. J. Bifurc. Chaos, 2020

2019
Characterisation and classification of signatures of spanning trees of the n-cube.
Australas. J Comb., 2019

2018
Jitter in Piecewise-Smooth Dynamical Systems with Intersecting Discontinuity Surfaces.
Int. J. Bifurc. Chaos, 2018

2017
Subsumed Homoclinic Connections and Infinitely Many Coexisting Attractors in Piecewise-Linear Maps.
Int. J. Bifurc. Chaos, 2017

Grazing-Sliding Bifurcations Creating Infinitely Many Attractors.
Int. J. Bifurc. Chaos, 2017

2016
Border-Collision Bifurcations in ℝ<sup>N</sup>.
SIAM Rev., 2016

2015
Stochastic Perturbations of Periodic Orbits with Sliding.
J. Nonlinear Sci., 2015

Taxonomic and functional metagenomic analysis of anodic communities in two pilot-scale microbial fuel cells treating different industrial wastewaters.
J. Integr. Bioinform., 2015

2014
Scaling Laws for Large Numbers of Coexisting Attracting Periodic Solutions in the Border-Collision Normal Form.
Int. J. Bifurc. Chaos, 2014

Sequences of Periodic Solutions and Infinitely Many Coexisting Attractors in the Border-Collision Normal Form.
Int. J. Bifurc. Chaos, 2014

On the relative coexistence of fixed points and period-two solutions near border-collision bifurcations.
Appl. Math. Lett., 2014

2013
Stochastic Regular Grazing Bifurcations.
SIAM J. Appl. Dyn. Syst., 2013

2012
Dynamics of Simple Balancing Models with Time-Delayed Switching Feedback Control.
J. Nonlinear Sci., 2012

2008
Neimark-Sacker Bifurcations in Planar, Piecewise-Smooth, Continuous Maps.
SIAM J. Appl. Dyn. Syst., 2008


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