Titlebook: Dynamical Systems on Networks; A Tutorial Mason Porter,James Gleeson Book 2016 The Editor(s) (if applicable) and The Author(s), under exclu

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2364-4532 .Presents important open problems in the fields of dynamical.This volume is a tutorial for the study of dynamical systems on networks. It discusses both methodology and models, including spreading models for social and biological contagions. The authors focus especially on “simple” situations that a

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Bernd Ahrendt,Nina Bürklin,Paul M. Ostberg ago in studies of chemical reactions. Moreover, even in the early part of the 20th century, biostatistician Ronald Fisher posited that one could describe the seemingly random fluttering of a colony of butterflies as a dynamical network of information [97].

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Introduction: How Does Nontrivial Network Connectivity Affect Dynamical Processes on Networks?,t examine how many people are infected by a biological contagion and whether it persists from one season to another, whether and to what extent interacting oscillators synchronize, whether a meme on the internet becomes viral or not, and more. These studies all have something in common: the dynamics

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Conclusion, Outlook, and Open Problems,rstanding of (1) why it is interesting and desirable to study dynamical systems on networks; (2) several of the popular families of problems and models; (3) basic considerations about dynamical systems on networks; (4) the use and range of validity of techniques for analytical approximations such as

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Conclusion, Outlook, and Open Problems, that we haven’t covered, and we strongly encourage you to scour the literature for interesting problems to study and generalize. The primary purpose of our tutorial is to equip you with the background knowledge to be able to do so successfully. We have also provided numerous references to get you s

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