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Postdoctoral Research Assistants:
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Kyoung Hyun Lee at the University of Auckland,
December 2022 - May 2025; funded by a Dodd-Walls Centre Postdoctoral Fellowship; co-managed with Hinke Osinga and Neil Broderick (Physics).
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Jacob Ngaha at the University of Auckland,
May 2023 - April 2025; funded by MBIE Postdoctoral
Fellowship Quantum effects in coupled nano-lasers; co-managed with Neil Broderick (Physics).
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Rodrigues Bitha at the University of Auckland,
March 2024 - February 2025; funded by MBIE Postdoctoral
Fellowship Modeling and analysis of nanophotonic devices; co-managed with Neil Broderick (Physics).
PhD students:
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Renzo Mancini at the University of Auckland, since
March 2021; joint supervision with Tra Dinh (Physics);
funded by a University of Auckland Marsden grant PhD Scholarship to study
Conceptual climate models with delayed feedback loops.
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Juan Patiño at the University of Auckland, since
February 2022; joint supervision with Hinke Osinga;
funded by a University of Auckland Doctoral Scholarship to study
Transitions to wild chaos in vector fields.
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Lorenzo Anoe' at the University of Auckland, since
February 2022; joint supervision with Roberto Armellin (Mechanical Engineering) and Hinke Osinga;
funded by a University of Auckland Doctoral Scholarship to study
Ballistic capture of satellites in the circular restricted three body system using curvilinear coordinates.
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John Bailie at the University of Auckland, since
September 2022; joint supervision with Priya Subramanian;
funded by a University of Auckland Doctoral Scholarship to study
Dynamics and role of ocean currents in climate models.
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Sam Doak at the University of Auckland, since
May 2023; joint supervision with Hinke Osinga;
funded by a University of Auckland Marsden grant PhD Scholarship to study
Geometric models of wild chaos.
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Sam Bolduc-St-Aubin at the University of Auckland, since
June 2023; joint supervision with Priya Subramanian;
funded by a University of Auckland Marsden grant PhD Scholarship to study
The mathematics of state dependence and its role in climate modelling.
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Sanaz Amani at the University of Auckland, since
March 2024; joint supervision with Hinke Osinga;
funded by a University of Auckland Marsden grant PhD Scholarship to study
Geometric fingerprints of wild chaotic attractors.
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Joe Steele at the University of Auckland, since
November 2024; joint supervision with Neil Broderick (Physics);
funded by a Photon Factory PhD Scholarship to study
Dynamics of laser systems with distributed feedback.
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Ofri Adiv at the University of Auckland, since
December 2024; joint supervision with Neil Broderick and Scott Parkins
(Physics); funded by a Quantum Technology Aotearoa PhD Scholarship to study
Dynamics of coupled light-matter systems.
Former Postdoctoral Research Assistants:
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Bart Oldeman at the University of Bristol,
November 2001 - October 2003; funded by EPSRC grant
Local bifurcations with global reinjection.
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Jan Sieber at the University of Bristol, October 2002 -
September 2006; funded by EPSRC critical mass grant
Bristol Centre for Applied Nonlinear Mathematics.
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David Barton at the University of Bristol, October 2006 -
November 2007;
Lloyds Tercentenary Foundation Fellow to investigate the
Mathematical Challenges of Hybrid Testing;
co-managed with Eddie Wilson.
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Kirk Green at Vrije Universiteit Amsterdam, November 2005 -
October 2008; funded by FOM/NWO Dynamics of Patterns
grant
Delay dynamics of laser patterns; co-managed
with Daan Lenstra at VU Amsterdam.
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Mohit Adhikari at the University of Bristol, July 2008 -
December 2009; funded by MRC
Milstein Fund award Seizure Prevention via Contol of
Neuronal Activity; co-managed with John Terry and Mario di
Bernardo.
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Hartmut Erzgräber at the University of Exeter,
September 2007 - August 2010;
funded by Great Western Research Fellowship 18
Modelling and dynamics of optical nano-devices: nanolasers and
photonic nanocircuits; co-managed with Sebastian Wieczorek
(University of Exeter)
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Phanikrishna Thota at the University of Bristol,
April 2007 - March 2010; funded by Airbus UK project
Analysis of nonlinear ground handling models; and
April 2010 - October 2010; funded by
EPSRC grant
Applied Nonlinear Mathematics: Making it real;
co-managed with Mark Lowenberg (Aerospace Engineering).
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Gemma Mason at the University of Auckland,
July 2015 - March 2017; funded by Faculty Research Development
Fund Postdoctoral Fellowship grant Hunting for wild chaos; co-managed with Hinke Osinga.
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Soizic Terrien at the University of Auckland,
March 2015 - July 2018; funded by a Dodd-Walls Centre Postdoctoral
Fellowship; co-managed with Neil Broderick (Physics).
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Andrew Keane at the University of Auckland,
May 2016 - July 2019; funded by a Faculty of Science Postdoctoral
Fellowship.
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Stefanie Hittmeyer at the University of Auckland,
April 2014 - November 2015; June 2016 - January 2018 and November
2018 - April 2020; funded by a Faculty of Science Postdoctoral
Fellowship; co-managed with Hinke Osinga.
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Andrus Giraldo at the University of Auckland,
August 2017 - December 2021; funded by Dodd-Walls Centre
New Ideas Research Funding Award Investigation of nonlinearly
coupled cavities in a photonic crystal and by a Dodd-Walls Centre
Research Fellowship; co-managed with Neil Broderick (Physics).
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Stefan Ruschel at the University of Auckland,
April 2019 - December 2021; funded by a Dodd-Walls Centre Postdoctoral
Fellowship; co-managed with Neil Broderick (Physics).
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Kevin Stitely at the University of Auckland,
June 2022 - February 2024; funded by MBIE Postdoctoral
Fellowship Advanced laser modeling; co-managed with Neil Broderick (Physics).
Former PhD students:
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Wim van der Graaf PhD from Vrije Universiteit Amsterdam on 4
December 1997; thesis title:
Nonlinear dynamics of semiconductor lasers driven by external optical fields;
joint supervision with Daan Lenstra at VU Amsterdam; funded by an
assistent-in-opleiding grant.
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Johan Dubbeldam PhD from Vrije Universiteit Amsterdam on 24
February 2000; thesis title:
Pulse generation in semiconductor lasers;
joint supervision with Daan Lenstra at VU Amsterdam; funded by an
assistent-in-opleiding grant.
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Bart Oldeman PhD from the University of Bristol
on 11 December 2001; thesis title:
Numerical bifurcation analysis of multi-pulse homoclinic orbits;
joint supervision with Alan Champneys; funded by a Departmental Studentship.
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Sebastian Wieczorek PhD from Vrije Universiteit Amsterdam
on 23 April 2002; thesis title:
The dynamical complexity of optically injected semiconductor lasers;
joint supervision with Daan Lenstra at VU Amsterdam; funded by FOM/GBE Mathematical
Physics grant
Global bifurcations in semiconductor lasers subject to external fields.
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Kirk Green PhD from the University of Bristol
on 4 December 2002; thesis title:
Bifurcation analysis of a semiconductor laser subject to phase-conjugate
feedback; funded by a Departmental Studentship.
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James England PhD from the University of Bristol
on 17 November 2005; thesis title:
Advances in computing global invariant manifolds;
joint supervision with Hinke Osinga; funded by EPSRC grant
Advances in computing global invariant manifolds.
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Gábor Orosz PhD from the University of Bristol
on 11 January 2006; thesis title:
The dynamics of vehicular traffic with drivers' reaction time delay;
joint supervision with Eddie Wilson; funded by an ORS award and a UoB Fellowship.
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David Barton PhD from the University of Bristol
on 15 November 2006; thesis title:
Dynamics and bifurcations of non-smooth delay equations;
joint supervision with Eddie Wilson; funded by an EPSRC DTA Studentship.
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Hartmut Erzgräber PhD Vrije Universiteit Amsterdam
on 4 December 2006; thesis title:
Dynamics of delay-coupled semiconductor laser systems;
joint supervision with Daan Lenstra at VU Amsterdam; funded by VU
assistent-in-opleiding Studentship.
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Thorsten Rieß PhD from Technische Universiträt Ilmenau
on 16 May 2008; thesis title:
A Lin's method approach to heteroclinic connections involving
periodic orbits - analysis and numerics;
joint supervision with Jürgen Knobloch at TU Ilmenau.
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Mathieu Desroches PhD from the University of Bristol
on 6 May 2009; thesis title:
Numerical continuation methods for slow-fast dynamical systems;
joint supervision with Hinke Osinga;
funded by EPSRC grant Global invariant manifolds: applications, critical
boundaries and global bifurcations.
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Clare Lee PhD from the University of Bristol
on 20 January 2010; thesis title:
Tangency bifurcations of global Poincaré maps;
joint supervision with Hinke Osinga; funded by an EPSRC DTA
Studentship.
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James Rankin PhD from the University of Bristol
on 16 June 2010; thesis title:
Bifurcation analysis of nonlinear ground handling of aircraft;
joint supervision with Mark Lowenberg (Aerospace Engineering); funded
by an EPSRC Maths Case Award in collaboration with Airbus.
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Gábor Kiss PhD from the University of Bristol
on 17 November 2010; thesis title:
Stability properties of functional differential equations with
distributed delays; joint supervision with
David Wagg (Mechanical Engineering); funded by EPSRC grant
Applied Nonlinear Mathematics: Making it real.
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Etienne Coetzee PhD from the University of Bristol
on 14 June 2011; thesis title:
Modelling and nonlinear analysis of aircraft ground manoeuvres;
joint supervision with Mark Lowenberg (Aerospace Engineering); funded
by Airbus.
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Piotr Słowiński PhD from the University of Bristol
on 13 September 2011; thesis title:
Bifurcation analysis of a semiconductor laser with two filtered
optical feedback loops; joint supervision
with Sebastian Wieczorek (University of Exeter); funded by Great Western Research
Initiative Studentship 250 Dynamics of semiconductor lasers involving
nanostructures in collaboration with Bookham
Technology.
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Pablo Aguirre PhD from the University of Bristol
on 15 May 2012; thesis title:
The role of global invariant manifolds of vector fields at
homoclinic bifurcations; joint supervision
with Hinke Osinga; funded by an ORS and a CONICYT grant to study
Excitable systems.
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James Knowles PhD from the University of Bristol
on 19 June 2012; thesis title:
Continuation analysis of landing gear mechanisms;
joint supervision with Mark Lowenberg (Aerospace Engineering);
funded by EPSRC Maths Case Award
Dynamics of statically indeterminate landing gear systems in
collaboration with Airbus.
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Vassil Tzanov PhD from the University of Bristol
on 13 November 2012; thesis title:
Bifurcation analysis applied to inclined cable dynamics; joint
supervision with
Simon Neild (Mechanical Engineering); funded by EPSRC grant
Experimental bifurcation analysis for hybrid testing
methods.
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Chris Howcroft PhD from the University of Bristol
on 25 June 2013; thesis title:
A bifurcation and numerical continuation study of aircraft main
landing gear shimmy;
joint supervision with Mark Lowenberg (Aerospace Engineering) and
Simon Neild (Mechanical Engineering);
funded by EPSRC KTN Maths Case Award
Dynamics of aircraft main landing gears in
collaboration with Airbus.
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Stefanie Hittmeyer PhD from the University of Auckland
on 29 April 2014; thesis title:
Bifurcations of invariant sets in a model of wild chaos; joint
supervision with Hinke Osinga; funded by a UoB postgraduate
scholarship and a UoA Faculty of Science scholarship to study
Dynamics of noninvertible maps.
Acknowledged in the 2014 Dean's List.
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Stephen Gill PhD from the University of Bristol
on 6 January 2015; thesis title:
Investigation into upset and
upset recovery using bifurcation analysis;
joint supervision with Mark Lowenberg (Aerospace Engineering) and
Simon Neild (Mechanical Engineering);
funded by EPSRC Industrial Case Award
Investigation of airliner upset and upset recovery dynamics using
bifurcation analysis in
collaboration with Airbus.
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Anup Purewal PhD from the University of Auckland
on 26 March 2015; thesis title: Global effects of Pyragas
time-delayed feedback control;
joint supervision with Claire Postlethwaite;
funded by a Faculty of Science scholarship to study
Feedback control and delay equations.
Acknowledged in the 2015 Dean's List.
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Nándor Terkovics PhD from the University of Bristol
on 12 May 2015; thesis title: A feasibility
study on applying real-time dynamic substructuring to a
nonlinear landing gear–fuselage system;
joint supervision with Simon Neild (Mechanical Engineering) and Mark
Lowenberg (Aerospace Engineering);
funded by EPSRC Industrial Case Award
Dynamic substructure testing strategies in aerospace in
collaboration with Airbus.
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Jennifer Creaser PhD from the University of Auckland
on 18 June 2015; thesis title: The Lorenz system near
the loss of the foliation condition;
joint supervision with Hinke Osinga;
funded by a Faculty of Science scholarship to study
Global bifurcations in the Lorenz system.
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Peter Langfield PhD from the University of Auckland
on 13 July 2015; thesis title: The geometry of isochrons
in planar systems;
joint supervision with Hinke Osinga;
funded by a Faculty of Science scholarship to study
Isochrones and phaseless sets.
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Sarah Kewley
PhD from the University of Bristol
on 10 May 2016; thesis title: Parametric study into the
shimmy dynamics of a nose landing gear-fuselage model;
joint supervision with Mark Lowenberg (Aerospace Engineering) and
Simon Neild (Mechanical Engineering);
funded by EPSRC Industrial Case Award
Investigation of coupled landing gear and fuselage vibrations in
collaboration with Airbus.
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Andrew Keane PhD from the University of Auckland
on 8 August 2016; thesis title: A dynamical systems approach
to understanding the interplay between delayed feedback and seasonal
forcing in the El Niño Southern Oscillation; joint
supervision with Claire Postlethwaite; funded by a UoA Doctoral Scholarship
to study Climate models with delays. Acknowledged in the 2016 Dean's list
and winner of the Vice-Chancellor’s Prize for Best Doctoral Thesis 2016.
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Andrus Giraldo PhD from the University of Auckland
on 6 December 2017; thesis title: Global invariant manifolds
and their interactions in the neighborhood of a homoclinic flip
bifurcation;
joint supervision with Hinke Osinga;
funded by a UoA Doctoral Scholarship to study
Global bifurcations involving periodic orbits of saddle type.
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José Mujica PhD from the University of Auckland
on 14 December 2017; thesis title: Interacting global
invariant manifolds and slow manifolds in slow-fast systems;
joint supervision with Hinke Osinga;
funded by a Faculty of Science scholarship to study
Invariant and slow manifolds in multiple-time-scale systems.
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Cris Hasan PhD from the University of Auckland
on 2 February 2018; thesis title: Slow manifolds, canard orbits
and the organisation of mixed-mode oscillations;
joint supervision with Hinke Osinga;
funded by a Faculty of Science scholarship to study
Slow-fast dynamics in higher-dimensional systems.
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Robert Otupiri PhD from the University of Auckland
on 20 October 2020; thesis title: Dynamics of a Q-switched
all-fibre laser; joint supervision with Neil Broderick (Physics);
funded by a Dodd-Walls Centre PhD scholarship to study
Excitability and Q-switching of mode-locked fibre lasers.
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Elle Musoke PhD from the University of Auckland
on 12 March 2021; thesis title: Geometry of manifolds in the
four-dimensional Olsen model; joint supervision with Hinke Osinga;
funded by a University of Auckland Marsden grant PhD Scholarship to study
Global slow-fast dynamics.
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Ravindra Bandara PhD from the University of Auckland
on 17 August 2022; thesis title: The structure of
multipulse solitons in the generalised nonlinear Schrödinger
equation;
joint supervision with Neil Broderick (Physics);
funded by a Dodd-Walls Centre PhD scholarship to study
Solitons in optical fibres with quartic dispersion.
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James Hannam PhD from the University of Auckland
on 29 August 2022; thesis title: Isochron geometry in the
presence of saddle objects; joint supervision with Hinke Osinga;
funded by a Faculty of Science scholarship to study
Manifolds and isochrons.
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Kevin Stitely PhD from the University of Auckland
on 27 September 2022; thesis title: Nonlinear dynamics in semiclassical models of quantum optical systems; joint supervision with Scott Parkins (Physics);
funded by a University of Auckland Doctoral Scholarship to study
Nonlinear dynamics in semiclassical models of quantum optical systems.
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Rodrigues Bitha PhD from the University of Auckland
on 11 September 2024; thesis title: Complex switching oscillations in Kerr resonators with interacting light; joint supervision with Neil Broderick (Physics);
funded by a Dodd-Walls Centre PhD scholarship for the project
Bifurcation analysis of coupled micro-resonators.
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Dana C'Julio PhD from the University of Auckland
on 12 November 2024; thesis title: Emergence of blenders with different orientation properties; joint supervision with Hinke Osinga to study
Wild chaos and blenders.
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Nelson Wong PhD from the University of Auckland
on 29 November 2024; thesis title: Bifurcations of heterodimensional cycles; joint supervision with Hinke Osinga;
funded by a University of Auckland Marsden grant PhD Scholarship to study Slow-fast dynamics and chaos in higher dimensions.
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Seigan Hayashi PhD thesis Evaluating control-based
continuation for investigating Micro-ElectroMechanical Systems
submitted to the University of Canterbury on 13 December 2024; joint supervision with Stefanie Gutschmidt and Rua Murray (University of Canterbury);
funded by a UC PhD Scholarship to study
Extending control-based continuation methods for dynamical system analysis.
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