Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 9 of 9 for “"Kuramoto model"”.
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Population-specific predictions for the finite Kuramoto model and collective synchronization in a system with resonant coupling
… significant contributions as well. The chief model of synchronization of distinct auto-oscillators is due to Kuramoto. The most striking feature of the model is the presence of a phase transition from an unsynchronized to a partially synchronized state at a critical value of the …
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Dynamical systems on networks
"We obtain results for two distinct dynamical models: the Kuramoto model, a general model for coupled oscillator systems, and a model for opinion formation in social networks. Our main focus is on understanding the fixed points of these systems and their stability. For many models the stability of …
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Clustering Behavior in Systems of Coupled Oscillators and Networks of Mutually Attracting Agents
… deel van dit proefschrift wordt een wiskundig model voor gekoppelde oscillatoren (het Kuramoto-model) bestudeerd, en worden een aantal analytische resultaten afgeleid met betrekking tot het optreden van gesynchroniseerde groepen, en dit zowel voor systemen met een eindig aantal oscillatoren als …
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Dynamics on networks
… In the first part, we consider two dynamical models whose underlying graph can be represented by a single network. We first consider the Kuramoto model, a canonical model of coupled phase oscillators. We obtain two results on its partial phase-locked state, where a subset of oscillators remain …
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Synchronization for different opinions in Malaysia Multiracial Society: a mathematical exploration study
… opinions in a diverse society with mathematical modelling. In this thesis, we analyse three different methods of synchronization by 3 different models: Kuramoto model, Opinion Changing Rate model and a linear model associate with the famous Friedkin and Johnsen Model. We first develop a modified …
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Pattern formation through synchronization in systems of nonidentical autonomous oscillators
… extensive computer simulations. We use the Kuramoto model which reduces general oscillatory systems to phase dynamics. The symmetry of the coupling plays an important role for the formation of patterns. We have studied the ordering influence of an asymmetry (non-isochronicity) in the phase …
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Combinatorial aspects of synchronisation, percolation, and arithmetic
… combinatorics. In Chapter 2, we shall study the Kuramoto model, which is the prototypical model used for rigorous mathematical analysis in the field of synchronisation and nonlinear dynamics. A realisation of this model consists of a collection of identical oscillators with interactions given by …
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Theoretical modeling of pilot-wave hydrodynamics
… we develop and apply a number of theoretical models describing the dynamics of a droplet walking on a vibrating liquid bath. We first review the hierarchy of theoretical models developed to describe this system. We begin with the stroboscopic model of Oza et al. (2013), and elucidate the role …
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Pattern formation in oscillatory systems
… There are two topics in this dissertation: Kuramoto model and FitzHugh-Nagumo (FHN) model. Kuramoto's original analysis of his model gives the critical synchronization value for K (K is the coupling constant ). He also gives an estimate for the value of order parameter r when K is close to …