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master's thesis
Analiza dinamike grupe Hindmarsh-Rose neurona s usmjerenim vezama
Zagreb: University of Zagreb, Faculty of Electrical Engineering and Computing, 2024. urn:nbn:hr:168:447137
Mesić, Noah Marko
University of Zagreb
Faculty of Electrical Engineering and Computing

Institutional repository: FER Repository

Cite this document

Mesić, N. M. (2024). Analiza dinamike grupe Hindmarsh-Rose neurona s usmjerenim vezama (Master's thesis). Zagreb: University of Zagreb, Faculty of Electrical Engineering and Computing. Retrieved from https://urn.nsk.hr/urn:nbn:hr:168:447137

Mesić, Noah Marko. "Analiza dinamike grupe Hindmarsh-Rose neurona s usmjerenim vezama." Master's thesis, University of Zagreb, Faculty of Electrical Engineering and Computing, 2024. https://urn.nsk.hr/urn:nbn:hr:168:447137

Mesić, Noah Marko. "Analiza dinamike grupe Hindmarsh-Rose neurona s usmjerenim vezama." Master's thesis, University of Zagreb, Faculty of Electrical Engineering and Computing, 2024. https://urn.nsk.hr/urn:nbn:hr:168:447137

Mesić, N. M. (2024). 'Analiza dinamike grupe Hindmarsh-Rose neurona s usmjerenim vezama', Master's thesis, University of Zagreb, Faculty of Electrical Engineering and Computing, accessed 21 December 2024, https://urn.nsk.hr/urn:nbn:hr:168:447137

Mesić NM. Analiza dinamike grupe Hindmarsh-Rose neurona s usmjerenim vezama [Master's thesis]. Zagreb: University of Zagreb, Faculty of Electrical Engineering and Computing; 2024 [cited 2024 December 21] Available at: https://urn.nsk.hr/urn:nbn:hr:168:447137

N. M. Mesić, "Analiza dinamike grupe Hindmarsh-Rose neurona s usmjerenim vezama", Master's thesis, University of Zagreb, Faculty of Electrical Engineering and Computing, Zagreb, 2024. Available at: https://urn.nsk.hr/urn:nbn:hr:168:447137

Metadata
TitleAnaliza dinamike grupe Hindmarsh-Rose neurona s usmjerenim vezama
Title (english)Analysis of a group of Hindmarsh-Rose neurons with directional connections
AuthorNoah Marko Mesić
MentorVesna Županović (mentor)
Committee memberVesna Županović (predsjednik povjerenstva)
Committee memberDario Bojanjac (član povjerenstva)
Committee memberBrigita Ferčec (član povjerenstva)
ISVU oznaka: BF040
GranterUniversity of Zagreb
Faculty of Electrical Engineering and Computing
Zagreb
Defense date and country2024-09-13, Croatia
Abstract
Dinamički sustav dva identična Hindmarsh-Rose neurona povezana dvosmjernom vezom simuliran je u programu MatCont. Sustav je analiziran ovisno o bifurkacijskom parametru I koji predstavlja struju na ulazu u neurone. Pokazano je postojanje sinkronizacijske mnogostrukosti u faznom prostoru kad se sinkronizirani neuroni ponašaju kao da veza između njih ne postoji. Jedna singularna točka postoji na toj mnogostrukosti čija stabilnost ovisi o bifurkacijskom parametru. Identificirane su vrijednosti parametra za koje dolazi do Andronov-Hopf bifurkacije te je promatrano ponašanje nastalih graničnih ciklusa. Ljapunovljevi eksponenti, izračunati programom Lyapunov Exponents Toolbox u MATLAB-u, korišteni su za detektiranje kaotičnog ponašanja koje je karakteristično za Hindmarsh-Rose neuron.
Abstract (english)
A dynamical system of two coupled identical Hindmarsh-Rose neurons was simulated in MatCont. The resulting system was analyzed depending on the bifurcation parameter I, which represents the input current to the neurons. The existence of a synchronization manifold in the phase space was demonstrated, where the synchronized neurons behave as if the connection between them does not exist. There is a single fixed point in this manifold whose stability depends on the bifurcation parameter. The values of the parameter at which Andronov-Hopf bifurcation occurs were identified, and the behavior of the resulting limit cycles was observed. Lyapunov exponents calculated using Lyapunov Exponents Toolbox in MATLAB were used to detect chaotic behavior, which is characteristic of the Hindmarsh- Rose neuron.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:168:447137
Study programmeTitle: Computing
Study programme type: university
Study level: graduate
Academic / professional title: magistar/magistra inženjer/inženjerka računarstva (magistar/magistra inženjer/inženjerka računarstva)
Type of resourceText
File originBorn digital
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Created on2024-10-12 21:33:46