Computational analysis in neuroscience

Author

Affiliation

Štěpán Zapadlo

Masaryk University

A thesis submitted for the Master’s degree at Masaryk University, Department of Mathematics and Statistics, Brno.

Copyright notice

#| output: asis
cat("Produced on",format(Sys.Date(), "%e %B %Y.\n\n"))
cat("© Štěpán Zapadlo (",format(Sys.Date(), "%Y"),").", sep="")

Abstract

English

Aaaa

Czech

Abstrakt to jest

Declaration

English

This thesis is an original work of my research and contains no material which has been accepted for the award of any other degree or diploma at any university or equivalent institution and that, to the best of my knowledge and belief, this thesis contains no material previously published or written by another person, except where due reference is made in the text of the thesis.

Czech

Dělal jsem na tom sám a celé stack overflow

Reproducibility statement

This thesis is written using Quarto with renv (renv?) and Julia to create a reproducible environment. All materials (including the data sets and source files) required to reproduce this document can be found at the GitLab repository gitlab.com/sceptri-university/muni-thesis.

This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

Acknowledgements

English

I’d like to thank…

Czech

Chci poděkovat

Ahmadi, Amir Ali, and Pablo A. Parrilo. 2013. “Stability of Polynomial Differential Equations: Complexity and Converse Lyapunov Questions.” https://arxiv.org/abs/1308.6833.

BARZILAI, JONATHAN, and JONATHAN M. BORWEIN. 1988. “Two-Point Step Size Gradient Methods.” IMA Journal of Numerical Analysis 8 (1): 141–48. https://doi.org/10.1093/imanum/8.1.141.

Kidger, Patrick. 2022. “On Neural Differential Equations.” https://arxiv.org/abs/2202.02435.

Luo, Albert C. J. 2009. “A Theory for Synchronization of Dynamical Systems.” Communications in Nonlinear Science and Numerical Simulation 14 (5): 1901–51. https://doi.org/https://doi.org/10.1016/j.cnsns.2008.07.002.

Pikovsky, Arkady, Michael Rosenblum, and Jürgen Kurths. 2001. Synchronization: A Universal Concept in Nonlinear Sciences. Cambridge University Press. https://doi.org/10.1017/cbo9780511755743.

Willms, Allan R., Petko M. Kitanov, and William F. Langford. 2017. “Huygens’ Clocks Revisited.” Royal Society Open Science 4 (9): 170777. https://doi.org/10.1098/rsos.170777.

Zhou, Danqing, Shiqian Ma, and Junfeng Yang. 2024. “AdaBB: Adaptive Barzilai-Borwein Method for Convex Optimization.” https://arxiv.org/abs/2401.08024.