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Showing 1 to 4 of 4 for “"Dynamics on Networks"”.

  1. Dynamics on networks

    … for a dynamical system. 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 …

    uiuc Repository record for Dynamics on networks (opens in a new tab)

  2. Price Dynamics on Networks

    In this thesis we consider price dynamics on an $n$-node graph, with particular emphasis on population distribution and movement. We propose a general model wherein at each time step population distributes to adjacent nodes with minimal price, and prices are modified to reflect local population …

    wfu Repository record for Price Dynamics on Networks (opens in a new tab)

  3. Mathematical and computational approaches to contagion dynamics on networks

    … we firstly introduce the basic terminology and concepts needed for the the following chapters. In particular we introduce the basics of graph/network theory, epidemiological models (both well mixed and on networks), and mobility models (the gravity and radiation models). After the introduction of …

    cork Repository record for Mathematical and computational approaches to contagion dynamics on networks (opens in a new tab)

  4. Application of Network Reliability to Analyze Diffusive Processes on Graph Dynamical Systems

    Moore and Shannon's reliability polynomial can be used as a global statistic to explore the behavior of diffusive processes on a graph dynamical system representing a finite sized interacting system. It depends on both the network topology and the dynamics of the process and gives the probability …

    vt Repository record for Application of Network Reliability to Analyze Diffusive Processes on Graph Dynamical Systems (opens in a new tab)