Homepage of Malcolm Hillebrand

Where chaos reigns

Publications and CV

The page where you can a) check if I’m a real scientist, b) see what research I’ve actually done, and c) idly read my CV if you’re curious. Or if you actually have a reason to be interested in it! Either way, have fun. As always, if you have any questions email away!

List of Publications

A (hopefully up to date) list of published papers and preprints, most recent first.

  1. du Plessis J-J, Hillebrand M, Skokos Ch, On the efficient numerical computation of covariant Lyapunov vectors, submitted. Available online at https://arxiv.org/abs/2512.23002.
  2. Hillebrand M, Alert R, Discontinuous transition to active nematic turbulence, Nature Communications, 16, pp 11169 (2025) . PDF
  3. Ramos A P, Moneta L , Szałapak A, Dagher L, Hillebrand M, Modes C D, Norden C, The Optic cup is actively shape programmed by independently patterned apical forces, submitted. Available online at https://doi.org/10.1101/2025.08.21.671431.
  4. Many Manda B, Hillebrand M, Skokos Ch, Efficient detection of chaos through the computation of the Generalized Alignment Index (GALI) by the multi-particle method, Communications in Nonlinear Science and Numerical Simulation, 143, pp. 108635 (2025). PDF
  5. Moges HT, Katsanikas M, Patsis P, Hillebrand M, Skokos Ch, The evolution of the phase space structure along pitchfork and period-doubling bifurcations in a 3D galactic bar potential, International Journal of Bifurcations and Chaos 34, pp. 2430013 (2024). PDF
  6. Hillebrand M, Katsanikas M, Wiggins SW, Skokos Ch, Navigating phase space transport with the origin-fate map, Physical Review E, 108, pp. 024211 (2023). PDF
  7. Zimper S, Ngapasare A, Hillebrand M, Katsanikas M, Wiggins SW, Skokos Ch, Performance of chaos diagnostics based on Lagrangian descriptors. Application to the 4D standard map, Physica D, 453, pp. 133833 (2023). PDF
  8. Hillebrand M, Kalosakas G, Bishop AR, Skokos Ch, Bubble relaxation dynamics in homopolymer DNA sequences, Molecules, 28, pp. 1041 (2023). PDF
  9. Katsanikas M, Hillebrand M, Skokos Ch, Wiggins S, A new type of dynamical matching in an asymmetric Caldera potential energy surface, Chemical Physics Letters, 811, pp. 140208 (2023).
  10. Hillebrand, M, Zimper S, Ngapasare A, Katsanikas M, Wiggins S, Skokos Ch, Quantifying chaos using Lagrangian descriptors, Chaos. 32, pp. 123122 (2022). PDF
  11. Katsanikas M, Hillebrand M, Skokos Ch, Wiggins S, The influence of asymmetry on the dynamics associated with a caldera potential energy surface, International Journal of Bifurcations and Chaos, 32, pp. 2230030 (2022). PDF
  12. Naidoo K J, Senapathi T, Bruce-Chwatt T, Hillebrand M, Multidimensional Free Energy and Accelerated Quantum Library Methods Provide a Gateway to Glycoenzyme Conformational, Electronic and Reaction Mechanisms, Accounts of Chemical Research, 54, pp. 4120 (2021). PDF
  13. Hillebrand M, Kalosakas G, Bishop A R, Skokos Ch, Bubble lifetimes in DNA gene promoters and their mutations affecting transcription, Journal of Chemical Physics, 155, pp. 095101 (2021). PDF
  14. Hillebrand M, Kalosakas G, Skokos Ch, Bishop A R, Distributions of bubble lifetimes and bubble lengths in DNA, Physical Review E, 102, pp. 062114 (2020). PDF
  15. Hillebrand M, Many Manda B, Kalosakas G, Gerlach E, Skokos Ch, Chaotic dynamics of graphene and graphene nanoribbons, Chaos, 30, pp. 063150 (2020). PDF
  16. Hillebrand M, Schwellnus A, Kalosakas G, Skokos Ch, Heterogeneity and chaos in the Peyrard-Bishop-Dauxois model of DNA, Physical Review E, 99, pp. 022213 (2019). PDF
  17. Hillebrand M, Paterson-Jones G, Kalosakas G, Skokos Ch, Distribution of base pair alternations in a periodic DNA chain: Application of Pólya counting to a physical system, Regular and Chaotic Dynamics, 23 no. 2, pp. 135 (2018). PDF

Full CV in PDF format:

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