フォロー
Malcolm Hillebrand
Malcolm Hillebrand
Lecturer, Department of Mathematics and Applied Mathematics, University of Cape Town
確認したメール アドレス: uct.ac.za - ホームページ
タイトル
引用先
引用先
Heterogeneity and chaos in the Peyrard-Bishop-Dauxois DNA model
M Hillebrand, G Kalosakas, A Schwellnus, C Skokos
Physical Review E 99 (2), 022213, 2019
372019
Distributions of bubble lifetimes and bubble lengths in DNA
M Hillebrand, G Kalosakas, C Skokos, AR Bishop
Physical Review E 102 (6), 062114, 2020
242020
Quantifying chaos using Lagrangian descriptors
M Hillebrand, S Zimper, A Ngapasare, M Katsanikas, S Wiggins, ...
Chaos: An Interdisciplinary Journal of Nonlinear Science 32 (12), 2022
182022
Performance of chaos diagnostics based on Lagrangian descriptors. Application to the 4D standard map
S Zimper, A Ngapasare, M Hillebrand, M Katsanikas, SR Wiggins, ...
Physica D: Nonlinear Phenomena 453, 133833, 2023
152023
The influence of asymmetry on the dynamics associated with a Caldera potential energy surface
M Katsanikas, M Hillebrand, C Skokos, S Wiggins
International Journal of Bifurcation and Chaos 32 (12), 2230030, 2022
152022
Bubble lifetimes in DNA gene promoters and their mutations affecting transcription
M Hillebrand, G Kalosakas, AR Bishop, C Skokos
The Journal of Chemical Physics 155 (9), 2021
142021
Chaotic dynamics of graphene and graphene nanoribbons
M Hillebrand, B Many Manda, G Kalosakas, E Gerlach, C Skokos
Chaos: An Interdisciplinary Journal of Nonlinear Science 30 (6), 2020
132020
A new type of dynamical matching in an asymmetric Caldera potential energy surface
M Katsanikas, M Hillebrand, C Skokos, S Wiggins
Chemical Physics Letters 811, 140208, 2023
92023
Multidimensional free energy and accelerated quantum library methods provide a gateway to glycoenzyme conformational, electronic, and reaction mechanisms
KJ Naidoo, T Bruce-Chwatt, T Senapathi, M Hillebrand
Accounts of Chemical Research 54 (22), 4120-4130, 2021
72021
Distribution of Base Pair Alternations in a Periodic DNA Chain: Application of Pólya Counting to a Physical System
M Hillebrand, G Paterson-Jones, G Kalosakas, C Skokos
Regular and Chaotic Dynamics 23, 135-151, 2018
42018
Bubble relaxation dynamics in homopolymer DNA sequences
M Hillebrand, G Kalosakas, AR Bishop, C Skokos
Molecules 28 (3), 1041, 2023
22023
The Evolution of the Phase Space Structure Along Pitchfork and Period-Doubling Bifurcations in a 3D-Galactic Bar Potential
HT Moges, M Katsanikas, PA Patsis, M Hillebrand, C Skokos
International Journal of Bifurcation and Chaos 34 (06), 2430013, 2024
12024
Navigating phase space transport with the origin-fate map
M Hillebrand, M Katsanikas, S Wiggins, C Skokos
Physical Review E 108 (2), 024211, 2023
12023
Chaotic Dynamics of Polyatomic Systems with an Emphasis on DNA Models
M Hillebrand
arXiv preprint arXiv:2102.11020, 2021
12021
Efficient detection of chaos through the computation of the Generalized Alignment Index (GALI) by the multi-particle method
BM Manda, M Hillebrand, C Skokos
Communications in Nonlinear Science and Numerical Simulation, 108635, 2025
2025
Discontinuous Transition to Active Nematic Turbulence
M Hillebrand, R Alert
arXiv preprint arXiv:2501.06085, 2025
2025
Erratum:“Chaotic dynamics of graphene and graphene nanoribbons”[Chaos 30, 063150 (2020)]
M Hillebrand, B Many Manda, G Kalosakas, E Gerlach, C Skokos
Chaos: An Interdisciplinary Journal of Nonlinear Science 35 (1), 2025
2025
Efficient detection of chaos through the computation of the Generalized Alignment Index (GALI) by the multi-particle method
B Many Manda, M Hillebrand, C Skokos
arXiv e-prints, arXiv: 2407.04397, 2024
2024
The evolution of the phase space structure along pitchfork and period-doubling bifurcations in a 3D galactic bar potential
H Tenaw Moges, M Katsanikas, P Patsis, M Hillebrand, C Skokos
arXiv e-prints, arXiv: 2403.01140, 2024
2024
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