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The Resource Dynamical Systems on Networks : A Tutorial

Dynamical Systems on Networks : A Tutorial

Label
Dynamical Systems on Networks : A Tutorial
Title
Dynamical Systems on Networks
Title remainder
A Tutorial
Creator
Contributor
Subject
Language
eng
Member of
Cataloging source
MiAaPQ
Literary form
non fiction
Nature of contents
dictionaries
Series statement
Frontiers in Applied Dynamical Systems: Reviews and Tutorials Ser.
Series volume
v.4
Dynamical Systems on Networks : A Tutorial
Label
Dynamical Systems on Networks : A Tutorial
Link
http://libproxy.rpi.edu/login?url=https://ebookcentral.proquest.com/lib/rpi/detail.action?docID=4470894
Publication
Copyright
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Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
  • Preface to the Series -- Preface -- Origin -- Scope, Purpose, and Intended Audience -- Acknowledgements -- Contents -- 1 Introduction: How Does Nontrivial Network Connectivity Affect Dynamical Processes on Networks? -- 2 A Few Basic Concepts -- 3 Examples of Dynamical Systems -- 3.1 Percolation -- 3.1.1 Site Percolation -- 3.1.2 Bond Percolation -- 3.1.3 K-Core Percolation -- 3.1.4 È̀xplosive'' Percolation -- 3.1.5 Other Types of Percolation -- 3.2 Biological Contagions -- 3.2.1 Susceptible-Infected (SI) Model -- 3.2.2 Susceptible-Infected-Susceptible (SIS) Model -- 3.2.3 Susceptible-Infected-Recovered (SIR) Model -- 3.2.4 More Complicated Compartmental Models -- 3.2.5 Other Uses of Compartmental Models -- 3.3 Social Contagions -- 3.3.1 Threshold Models -- 3.3.2 Other Models -- 3.4 Voter Models -- 3.5 Interlude: Asynchronous Versus Synchronous Updating -- 3.6 Coupled Oscillators -- 3.7 Other Dynamical Processes and Phenomena -- 4 General Considerations -- 4.1 Master Stability Condition and Master Stability Function -- 4.2 Other Approaches for Studying Dynamical Systems on Networks -- 4.3 Discrete-State Dynamics: Mean-Field Theories, Pair Approximations, and Higher-Order Approximations -- 4.3.1 Node-Based Approximation for the SI Model -- 4.3.2 Degree-Based MF Approximation for the SI Model -- 4.3.3 Degree-Based MF Approximation for a Threshold Model -- 4.3.4 Discussion of MF Approximation for Discrete-State Dynamics -- 4.4 Additional Considerations -- 5 Software Implementation -- 5.1 Stochastic Simulations (i.e., Monte Carlo Simulations) -- 5.2 Differential-Equation Solvers for Theories -- 6 Dynamical Systems on Dynamical Networks -- 7 Other Resources -- 8 Conclusion, Outlook, and Open Problems -- A Appendix: High-Accuracy Approximation Methods for General Binary-State Dynamics -- A.1 High-Accuracy Approximations for Binary-State Dynamics
  • A.1.1 Stochastic Binary-State Dynamics -- A.2 Approximation Methods for General Binary-State Dynamics -- A.3 Monotonic Dynamics and Response Functions -- A.3.1 Monotonic Threshold Dynamics -- A.3.2 Response Functions for Monotonic Binary Dynamics -- A.3.3 Cascade Conditions -- References
http://library.link/vocab/cover_art
https://contentcafe2.btol.com/ContentCafe/Jacket.aspx?Return=1&Type=S&Value=9783319266411&userID=ebsco-test&password=ebsco-test
Dimensions
unknown
http://library.link/vocab/discovery_link
{'f': 'http://opac.lib.rpi.edu/record=b4385080'}
Extent
1 online resource (91 pages)
Form of item
online
Isbn
9783319266411
Media category
computer
Media MARC source
rdamedia
Media type code
c
Sound
unknown sound
Specific material designation
remote

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