DEPARTMENT OF MATHEMATICS & APPLIED MATHEMATICS
FACULTY OF SCIENCE
UNIVERSITY OF CAPE TOWN
SOUTH AFRICA

Nonlinear Dynamics and Chaos Group


 

Current Members

Group Leader

Prof. Haris Skokos

Department of Mathematics and Applied Mathematics

Faculty of Science

University of Cape Town

Rondebosch, 7701

South Africa

Tel.: +27 021 650 5074

FAX: +27 021 650 2334

Email: haris.skokos_at_uct.ac.za 

Postdoctoral researchers

   

Ph.D. Students

Mr. Jean-Jacq du Plessis

Thesis Title: Investigating the chaotic dynamics of nonlinear lattices using symplectic integrators

 

Tel.: +27 021 650 3214

FAX: +27 021 650 2334

Email: DPLJEA019_at_myuct.ac.za

Ms. Sané Erasmus

Thesis Title: Chaotic dynamics of multidimensional Hamiltonian systems: from nanomaterials to topological discrete lattices

 

Tel.: +27 021 650 3214

FAX: +27 021 650 2334

Email: ERSSAN003_at_myuct.ac.za  

M.Sc. Students
   
Honours Students
Mr. Daniel Marais
Department of Mathematics and Applied Mathematics, University of Cape Town, South Africa.

Project Title: Hamiltonian chaos in a PT-symmetric system 
Ms. Cassandra Barbis
Department of Mathematics and Applied Mathematics, University of Cape Town, South Africa.

Project Title: Numerical investigation of chaos in low dimensional dynamical systems 
Undergraduate Students
Mr. Ferris Ayrton Higgo Moser
International student from the Vrije Universiteit Amsterdam, Netherlands.
Internship Project Title: Investigating the phase space dynamics of Hamiltonian system by the origin-fate map
Mr. Rik Albers
International student from the University of Twente, Netherlands.
Internship Project Title: Symplectic integration techniques
Mr. Miles Boeddinghaus
Department of Mathematics and Applied Mathematics, University of Cape Town, South Africa.

Project Title: Numerical investigation of low dimensional chaos
Ms. Kaashifa Saloojee
Department of Mathematics and Applied Mathematics, University of Cape Town, South Africa.

Project Title: Visualization of phase space structures by the Lagrangian descriptors method

Former Members

Postdoctoral researchers

Dr. Arnold Ngapasare

2021 - 2024

Project Title: Quasi one-dimensional classical lattices: Flat bands and disorder 

Dr. Malcolm Hillebrand

2021 - 2022

Project Title: Nonlinear dynamics of Hamiltonian systems: From DNA to galaxies

Ph.D. Students

 
Mr. Henok Tenaw Moges
2025, Ph.D. Thesis, Department of Mathematics and Applied Mathematics, University of Cape Town, South Africa.

Thesis Title: Hamiltonian chaos: From galactic dynamics to plasma physics

Mr. Bob Senyange

2021, Ph.D. Thesis, Department of Mathematics and Applied Mathematics, University of Cape Town, South Africa.

Thesis Title: Chaotic behavior of disordered nonlinear lattices

Mr. Bertin Many Manda

2021, Ph.D. Thesis, Department of Mathematics and Applied Mathematics, University of Cape Town, South Africa.

Thesis Title: Nonlinear dynamics and chaos in multidimensional disordered Hamiltonian systems

Mr. Malcolm Hillebrand

2021, Ph.D. Thesis, Department of Mathematics and Applied Mathematics, University of Cape Town, South Africa.

Thesis Title: Chaotic dynamics of polyatomic systems with an emphasis on DNA models

M.Sc. Students
Mr. Dylan Theron

2024, M.Sc. Thesis (with distinction, mark: 95%), Department of Mathematics and Applied Mathematics, University of Cape Town, South Africa.

Thesis Title: Application of the Lagrangian descriptors method to Hamiltonian systems with emphasis to models of barred galaxies

Mr. Jean-Jacq du Plessis

2024, M.Sc. Thesis (with distinction, mark: 95%), Department of Mathematics and Applied Mathematics, University of Cape Town, South Africa.

Thesis Title: Covariant Lyapunov vectors: investigating the dynamics of multidimensional Hamiltonian systems with application to DNA models

Mr. Samuel Cheong

2023, M.Sc. Thesis (with distinction, mark: 88%), Department of Mathematics and Applied Mathematics, University of Cape Town, South Africa.

Thesis Title: Chaotic behavior and energy polarization in flatband lattice models

Mr. Sebastian Zimper

2023, M.Sc. Thesis (with distinction, mark: 90%), Department of Mathematics and Applied Mathematics, University of Cape Town, South Africa.

Thesis Title:  Investigating the phase space dynamics of galactic potentials by the Lagrangian descriptors method

Mr. Henok Tenaw Moges

2020, M.Sc. Thesis (with distinction), Department of Mathematics and Applied Mathematics, University of Cape Town, South Africa.

Thesis Title:  Investigating chaos by the Generalized Alignment Index (GALI) method

Ms. Chinenye Jane Ani

2019, M.Sc. Thesis (with distinction), Department of Mathematics and Applied Mathematics, University of Cape Town, South Africa.

Thesis Title: Chaotic behavior of charged particles in electromagnetic fields

Mr. Arnold Ngapasare

2017, M.Sc. Thesis (with distinction), Department of Mathematics and Applied Mathematics, University of Cape Town, South Africa.

Thesis Title: Dynamical behavior of graphene models

Ms. Chinenye Jane Ani
2017, Structured M.Sc. Thesis, minor dissertation (with distinction), African Institute for Mathematical Sciences (AIMS), Muizenberg, South Africa.

Thesis Title: Chaotic behavior of Hamiltonian systems: Application to plasma physics

Mr. Elie Danien Rajaobelina Iarilala

2015, Structured M.Sc. Thesis, minor dissertation (with distinction), African Institute for Mathematical Sciences (AIMS), Muizenberg, South Africa.

Thesis Title: Numerical Investigation of Chaos

Ms. Reine Marquise Yemata Mekondjou

2015, Structured M.Sc. Thesis, minor dissertation (with distinction), African Institute for Mathematical Sciences (AIMS), Muizenberg, South Africa.

Thesis Title: Numerical investigation of chaos by the Smaller (SALI) and the Generalized (GALI) Alignment Index methods

Mr. Ioannis Gkolias

2013, M.Sc. Thesis (with distinction), Physics Department, Aristotle University of Thessaloniki, Greece.

Thesis Title: Chaos in 1-dimensional nonlinear disordered lattices

Ms. Dorothea Manika

2013, M.Sc. Thesis (with distinction), Physics Department, Aristotle University of Thessaloniki, Greece.

Thesis Title: Application of the Compound Matrix Theory for the computation of Lyapunov exponents of autonomous Hamiltonian systems

Honours Students
Mr. William  McMichael
2021, Honours project, Department of Mathematics and Applied Mathematics, University of Cape Town, South Africa.

Project Title:
The Smaller Alignment Index (SALI): Theory and applications

 

Mr. Abdullah Alturk

2020, Honours project, Department of Mathematics and Applied Mathematics, University of Cape Town, South Africa.
Project Title:
Numerical investigation of the disordered discrete nonlinear Schrödinger equation (DDNLS)

 

Mr. Jean-Jacq Du Plessis

2019, Honours project, Department of Mathematics and Applied Mathematics, University of Cape Town, South Africa.
Project Title:
Chaotic diffusion in disordered nonlinear lattices

Mr. Malcolm Hillebrand

2017, Honours project, Department of Mathematics and Applied Mathematics, University of Cape Town, South Africa.
Project Title:
Chaotic dynamics of DNA models

Mr. Adrian Schwellnus

2016, Honours project, Department of Mathematics and Applied Mathematics, University of Cape Town, South Africa.
Project
Title: Chaotic behavior of a multi-dimensional Hamiltonian model of DNA

 
Undergraduate Students
Ms. Cassandra Barbis
2024, Third year project, Department of Mathematics and Applied Mathematics, University of Cape Town, South Africa.
Project Title:
Determining the preferred symplectic integrator to investigate the dynamical behavior of the Hénon–Heiles system
Mr. Connor Greathead
2023, Third year project, Department of Mathematics and Applied Mathematics, University of Cape Town, South Africa.
Project Title:
Numerical investigation of the efficacy of high order symplectic integrators
Ms. Hloniphekile Msani
2021, Third year project, Department of Mathematics and Applied Mathematics, University of Cape Town, South Africa.
Project Title:
Numerical investigation of the efficacy of high order symplectic integrators
Mr. Matome Modiba
2021, Third year project, Department of Mathematics and Applied Mathematics, University of Cape Town, South Africa.
Project Title:
Nonlinear dynamics of a Hamiltonian prototypical dynamical system
Mr. David Broodryk

2019, Third year project, Department of Mathematics and Applied Mathematics, University of Cape Town, South Africa.
Project Title: Symplectic integrators

Ms. Sarah Morton

2019, Third year project, Department of Mathematics and Applied Mathematics, University of Cape Town, South Africa.
Project Title:
Low dimensional chaos

Mr. Adrian Schwellnus

2015, Third year project, Department of Mathematics and Applied Mathematics, University of Cape Town, South Africa.
Project Title:
Numerical Symplectic Integration Techniques for Multi-Dimensional Hamiltonian Systems

Mr. William Grunow

2014, Third year project, Department of Mathematics and Applied Mathematics, University of Cape Town, South Africa.

Project Title: Chaos in Hamiltonian systems

Visitors

Prof. José Pablo Salas Ilarraza, Department of Chemistry, Universidad de La Rioja, La Rioja (Spain).

Time: 2024, 28 Sept. - 1 Nov.

Project: Dynamics of Drude oscillators

Dr. Makrina Agaoglou, Department of Applied Mathematics, School of Industrial Engineering, Polytechnic University of Madrid, Madrid (Spain).

Time: 2024, 22 Sept. - 3 Oct.

Project: Lagrangian Descriptors and their implementation to higher order Hamiltonian systems

Mr. Yannis Antonenas, School of Applied Mathematical and Physical Sciences, National Technical University of Athens, Athens (Greece).

Time: 2022, 31 Aug. - 30 Nov.

Project: Numerical investigation of chaos in plasma physics models

Prof. George Kalosakas, Department of Materials Science, University of Patras, Patras (Greece).

Time: 2018, 26 Feb. - 10 March & 2022, 13 June - 17 June

Project: Chaotic behavior of DNA models

Ms. Oltiana Gjata, Department of Mathematics, Computer Science and Physics, University of Udine, Udine (Italy).

Time: 2019, 2 Jan. - 16 June

Project: Chaotic dynamics of Hamiltonian systems

Mr. Ahmed Fekry Hemdan Shaaban

Time: 2017, 1 Feb. - 31 July

Project: Numerical investigation of the impact of complex instability to the phase space structure of dynamical systems

Ms. Murielle Vanessa Tchakui

Time: 2016, 15 Sept. - 14 Nov.

Project: Nonlinear dynamics and chaos in a network of coupled Hamiltonian MEMS (Micro-Electro-Mechanical systems), AGNES Mobility Grant.