{"id":35,"date":"2025-01-09T06:22:12","date_gmt":"2025-01-09T06:22:12","guid":{"rendered":"https:\/\/hillebrand.co.za\/?page_id=35"},"modified":"2026-02-13T09:54:32","modified_gmt":"2026-02-13T09:54:32","slug":"publications-and-cv","status":"publish","type":"page","link":"https:\/\/hillebrand.co.za\/index.php\/publications-and-cv\/","title":{"rendered":"Publications and CV"},"content":{"rendered":"\n

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!<\/p>\n\n\n\n

List of Publications<\/h2>\n\n\n\n

A (hopefully up to date) list of published papers and preprints, most recent first. <\/p>\n\n\n\n

    \n
  1. du Plessis J-J, Hillebrand M, Skokos Ch, On the efficient numerical computation of covariant Lyapunov vectors, <\/em>submitted. Available online at https:\/\/arxiv.org\/abs\/2512.23002<\/a>.<\/li>\n\n\n\n
  2. Hillebrand M, Alert R, Discontinuous transition to active nematic turbulence<\/em>, Nature Communications, 16, pp 11169 (2025)<\/a> . PDF<\/a><\/li>\n\n\n\n
  3. Ramos A P, Moneta L , Sza\u0142apak A, Dagher L, Hillebrand M, Modes C D, Norden C, The Optic cup is actively shape programmed by independently patterned apical forces<\/em>, submitted. Available online at https:\/\/doi.org\/10.1101\/2025.08.21.671431<\/a>.<\/li>\n\n\n\n
  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<\/em>, Communications in Nonlinear Science and Numerical Simulation, 143, pp. 108635 (2025)<\/a>. PDF<\/a><\/li>\n\n\n\n
  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<\/em>, International Journal of Bifurcations and Chaos 34, pp. 2430013 (2024)<\/a>. PDF<\/a><\/li>\n\n\n\n
  6. Hillebrand M, Katsanikas M, Wiggins SW, Skokos Ch, Navigating phase space transport with the origin-fate map<\/em>, Physical Review E, 108, pp. 024211 (2023)<\/a>. PDF<\/a><\/li>\n\n\n\n
  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<\/em>, Physica D, 453, pp. 133833 (2023)<\/a>. PDF<\/a><\/li>\n\n\n\n
  8. Hillebrand M, Kalosakas G, Bishop AR, Skokos Ch, Bubble relaxation dynamics in homopolymer DNA sequences<\/em>, Molecules, 28, pp. 1041 (2023)<\/a>. PDF<\/a><\/li>\n\n\n\n
  9. Katsanikas M, Hillebrand M, Skokos Ch, Wiggins S, A new type of dynamical matching in an asymmetric Caldera potential energy surface<\/em>, Chemical Physics Letters, 811, pp. 140208 (2023)<\/a>.<\/li>\n\n\n\n
  10. Hillebrand, M, Zimper S, Ngapasare A, Katsanikas M, Wiggins S, Skokos Ch, Quantifying chaos using Lagrangian descriptors<\/em>, Chaos. 32, pp. 123122 (2022)<\/a>. PDF<\/a><\/li>\n\n\n\n
  11. Katsanikas M, Hillebrand M, Skokos Ch, Wiggins S, The influence of asymmetry on the dynamics associated with a caldera potential energy surface<\/em>, International Journal of Bifurcations and Chaos, 32, pp. 2230030 (2022)<\/a>. PDF<\/a><\/li>\n\n\n\n
  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<\/em>, Accounts of Chemical Research, 54, pp. 4120 (2021)<\/a>. PDF<\/a><\/li>\n\n\n\n
  13. Hillebrand M, Kalosakas G, Bishop A R, Skokos Ch, Bubble lifetimes in DNA gene promoters and their mutations affecting transcription<\/em>, Journal of Chemical Physics, 155, pp. 095101 (2021)<\/a>. PDF<\/a><\/li>\n\n\n\n
  14. Hillebrand M, Kalosakas G, Skokos Ch, Bishop A R, Distributions of bubble lifetimes and bubble lengths in DNA<\/em>, Physical Review E, 102, pp. 062114 (2020)<\/a>. PDF<\/a><\/li>\n\n\n\n
  15. Hillebrand M, Many Manda B, Kalosakas G, Gerlach E, Skokos Ch, Chaotic dynamics of graphene and graphene nanoribbons<\/em>, Chaos, 30, pp. 063150 (2020)<\/a>. PDF<\/a><\/li>\n\n\n\n
  16. Hillebrand M, Schwellnus A, Kalosakas G, Skokos Ch, Heterogeneity and chaos in the Peyrard-Bishop-Dauxois model of DNA<\/em>, Physical Review E, 99, pp. 022213 (2019)<\/a>. PDF<\/a><\/li>\n\n\n\n
  17. Hillebrand M, Paterson-Jones G, Kalosakas G, Skokos Ch, Distribution of base pair alternations in a periodic DNA chain: Application of P\u00f3lya counting to a physical system<\/em>, Regular and Chaotic Dynamics, 23 no. 2, pp. 135 (2018)<\/a>. PDF<\/a><\/li>\n<\/ol>\n\n\n\n

    Full CV in PDF format:<\/p>\n\n\n\n

    <\/div>\n\n\n\n

    Proofread by Morgan<\/em>TM<\/em><\/sup><\/p>\n","protected":false},"excerpt":{"rendered":"

    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…<\/p>\n","protected":false},"author":1,"featured_media":69,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-35","page","type-page","status-publish","has-post-thumbnail","hentry"],"jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/hillebrand.co.za\/index.php\/wp-json\/wp\/v2\/pages\/35","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/hillebrand.co.za\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/hillebrand.co.za\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/hillebrand.co.za\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/hillebrand.co.za\/index.php\/wp-json\/wp\/v2\/comments?post=35"}],"version-history":[{"count":19,"href":"https:\/\/hillebrand.co.za\/index.php\/wp-json\/wp\/v2\/pages\/35\/revisions"}],"predecessor-version":[{"id":171,"href":"https:\/\/hillebrand.co.za\/index.php\/wp-json\/wp\/v2\/pages\/35\/revisions\/171"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/hillebrand.co.za\/index.php\/wp-json\/wp\/v2\/media\/69"}],"wp:attachment":[{"href":"https:\/\/hillebrand.co.za\/index.php\/wp-json\/wp\/v2\/media?parent=35"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}