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Malcolm Hillebrand
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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
322019
Distributions of bubble lifetimes and bubble lengths in DNA
M Hillebrand, G Kalosakas, C Skokos, AR Bishop
Physical Review E 102 (6), 062114, 2020
202020
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
122021
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
92020
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
82022
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
72022
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
62021
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
52023
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
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
22023
The evolution of the phase space structure along pitchfork and period-doubling bifurcations in a 3D galactic bar potential
HT Moges, M Katsanikas, P Patsis, M Hillebrand, C Skokos
arXiv preprint arXiv:2403.01140, 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
Navigating phase space transport with the origin-fate map
M Hillebrand, M Katsanikas, S Wiggins, C Skokos
Physical Review E 108 (2), 024211, 2023
2023
Bubble relaxation dynamics in homopolymer DNA sequences
M Hillebrand, G Kalosakas, AR Bishop, C Skokos
Molecules 28 (3), 1041, 2023
2023
Chaotic Dynamics of Polyatomic Systems with an Emphasis on DNA Models
M Hillebrand
arXiv preprint arXiv:2102.11020, 2021
2021
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