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Topics in dynamical processes in networked objects. / 探討網絡上的若干動態過程 / Topics in dynamical processes in networked objects. / Tan tao wang luo shang de ruo gan dong tai guo cheng

Lee, Kwan Ho = 探討網絡上的若干動態過程 / 李鈞浩. / Thesis (M.Phil.)--Chinese University of Hong Kong, 2008. / Includes bibliographical references (leaves 114-118). / Abstracts in English and Chinese. / Lee, Kwan Ho = Tan tao wang luo shang de ruo gan dong tai guo cheng / Li Junhao. / Chapter 1 --- Overview --- p.1 / Chapter 2 --- Networks --- p.5 / Chapter 2.1 --- Describing Networks --- p.5 / Chapter 2.1.1 --- Adjacency Matrix --- p.6 / Chapter 2.1.2 --- "Degree, Degree Distribution and Mean Degree" --- p.6 / Chapter 2.1.3 --- Clustering Coefficient --- p.7 / Chapter 2.1.4 --- "Shortest Path, Shortest Distance and Diameter" --- p.7 / Chapter 2.1.5 --- Betweenness --- p.9 / Chapter 2.2 --- Barabasi-Albert (BA) Network --- p.10 / Chapter 2.2.1 --- Construction of BA Network --- p.10 / Chapter 2.2.2 --- Analytical Study of Degree Distribution --- p.11 / Chapter 2.2.3 --- Numerical Study of Degree Distribution --- p.12 / Chapter 2.2.4 --- Shortest Distance --- p.13 / Chapter 2.3 --- Summary --- p.14 / Chapter 3 --- Routing in Networks: A Review --- p.16 / Chapter 3.1 --- Introduction --- p.16 / Chapter 3.2 --- Dijkstra´ةs Algorithm --- p.17 / Chapter 3.2.1 --- Algorithm --- p.17 / Chapter 3.2.2 --- Running Time --- p.18 / Chapter 3.2.3 --- Routing Table Based on Shortest Path Algorithm --- p.19 / Chapter 3.3 --- Routing Model --- p.19 / Chapter 3.3.1 --- General Setup --- p.19 / Chapter 3.3.2 --- Phase Transition and Evaluation of Network Performance --- p.20 / Chapter 3.4 --- Using Shortest Path as Routing Algorithm on BA Networks --- p.21 / Chapter 3.5 --- Other Routing Algorithms --- p.22 / Chapter 3.5.1 --- Efficient Path --- p.23 / Chapter 3.5.2 --- Routing based on Local Structural Information --- p.24 / Chapter 3.5.3 --- Routing based on Dynamical Information --- p.25 / Chapter 3.6 --- Summary --- p.26 / Chapter 4 --- Optimization of Routing Efficiency through Redistributing Limited Resources --- p.28 / Chapter 4.1 --- A Reallocation Rule - Short to Long (S2L) --- p.29 / Chapter 4.2 --- Performance Enhancement After Applying S2L --- p.33 / Chapter 4.3 --- Optimized Capability Distribution in Detail --- p.36 / Chapter 4.4 --- Summary --- p.44 / Chapter 5 --- N-person Evolutionary Snowdrift Game: A Review --- p.47 / Chapter 5.1 --- Snowdrift Game (SG) and Evolutionary Snowdrift Game (ESG) --- p.47 / Chapter 5.2 --- N-person Evolutionary Snowdrift Game --- p.49 / Chapter 5.2.1 --- Payoffs of C-character and D-character Agents --- p.49 / Chapter 5.2.2 --- Replicator Dynamics --- p.50 / Chapter 5.2.3 --- Numerical Simulations --- p.52 / Chapter 5.3 --- Summary --- p.55 / Chapter 6 --- NESG on Complex Network --- p.56 / Chapter 6.1 --- Models --- p.57 / Chapter 6.2 --- Results of Model A (varying N) --- p.58 / Chapter 6.2.1 --- Correlation of Characters in Degree --- p.60 / Chapter 6.2.2 --- Correlation of Characters in Distance --- p.62 / Chapter 6.3 --- Results of Model B (Fixed-N) --- p.63 / Chapter 6.3.1 --- Correlation of Characters in Degree --- p.64 / Chapter 6.4 --- Summary --- p.69 / Chapter 7 --- Synchronization: A Review --- p.71 / Chapter 7.1 --- Kuramoto Model --- p.72 / Chapter 7.1.1 --- Analytical Method --- p.74 / Chapter 7.1.2 --- Numerical Method --- p.78 / Chapter 7.1.3 --- Summary of Kuramoto Model --- p.81 / Chapter 7.2 --- Integrate-and-Fire Model --- p.81 / Chapter 8 --- Kuramoto Model with Spatially Distributed Oscillators --- p.84 / Chapter 8.1 --- Model --- p.84 / Chapter 8.2 --- Numerical Results --- p.85 / Chapter 8.3 --- Analytic Results --- p.87 / Chapter 8.4 --- Summary --- p.90 / Chapter 9 --- Integrate-Fire-and-Run Model --- p.92 / Chapter 9.1 --- Model --- p.92 / Chapter 9.2 --- Two-Body System --- p.94 / Chapter 9.2.1 --- Case I: Oscillators A and B are in different sites --- p.94 / Chapter 9.2.2 --- Case II: Oscillators A and B are in the same site --- p.101 / Chapter 9.2.3 --- Comparison of Analytic Results and Numerical Simulations of Two-Body system --- p.103 / Chapter 9.3 --- N-Body System --- p.105 / Chapter 9.4 --- Summary --- p.111 / Chapter 10 --- Outlook --- p.112 / Bibliography --- p.114

Identiferoai:union.ndltd.org:cuhk.edu.hk/oai:cuhk-dr:cuhk_326476
Date January 2008
ContributorsLee, Kwan Ho., Chinese University of Hong Kong Graduate School. Division of Physics.
Source SetsThe Chinese University of Hong Kong
LanguageEnglish, Chinese
Detected LanguageEnglish
TypeText, bibliography
Formatprint, xv, 118 leaves : ill. (some col.) ; 30 cm.
RightsUse of this resource is governed by the terms and conditions of the Creative Commons “Attribution-NonCommercial-NoDerivatives 4.0 International” License (http://creativecommons.org/licenses/by-nc-nd/4.0/)

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