Study of synchronization in discrete biological systems

Abstract

This thesis concerns the study of collective synchronized behaviour in discrete stochastic dynamical systems consisting of spatially distributed individual elements. The participating units may represent the constituent elements of an extensive range of biological, chemical or physical systems. They can be assumed as prey and predators of an ecosystem or species in a food chain with cyclic domination. They can be dynamical species reacting on catalytic surfaces or spins in magnetic systems. Depending on the definition of the units’ local dynamics and the interactions between them, they may also be used to investigate collective behaviour like synchronous activation of coupled neuronal networks or even social networks with evolving structure. Specifically, transitions from local density fluctuations to global bulk oscillations and synchronization phenomena are investigated in three different models where individual elements can interact locally only with their immediate neighbours. In a ...
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DOI
10.12681/eadd/24516
Handle URL
http://hdl.handle.net/10442/hedi/24516
Alternative title
Μελέτη συγχρονισμού σε διακριτά βιολογικά συστήματα
Author
Κούβαρης, Νικόλαος Ελευθέριος
Date
2011
Degree Grantor
Aristotle University Of Thessaloniki (AUTH)
Committee members
Κουγιουμτζής Δημήτριος
Προβατά Αστέρω
Βουγιατζής Γεώργιος
Ρόθος Βασίλειος
Κεχαγιάς Αθανάσιος
Σγαρδέλης Στέφανος
Schimansky-Geier Lutz
Discipline
Engineering & Technology
Keywords
Synchronization; Non linear dynamics; Stochastic dynamics; Population dynamics; Complex systems; Neurodynamics; Monte carlo simulation; Timeseries analysis
Country
Greece
Language
English
Description
164 σ., im., ind.