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Complex Network Analysis and Nonlinear Dynamics

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Complex Networks and Dynamics

Part of the book series: Lecture Notes in Economics and Mathematical Systems ((LNE,volume 683))

Abstract

This chapter aims at reviewing complex network and nonlinear dynamical models and methods that were either developed for or applied to socioeconomic issues, and pertinent to the theme of New Economic Geography. After an introduction to the foundations of the field of complex networks, the present summary introduces some applications of complex networks to economics, finance, epidemic spreading of innovations, and regional trade and developments. The chapter also reviews results involving applications of complex networks to other relevant socioeconomic issues.

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Notes

  1. 1.

    http://phys.org/news/2010-11-belgium-world-cold.html.

  2. 2.

    http://www.npr.org/2011/08/18/139714695/why-does-the-u-s-sneeze-when-europe-gets-a-cold.

  3. 3.

    http://www.enotes.com/homework-help/metternich-said-when-france-sneezes-europe-catches-120443.

  4. 4.

    “The Worlds Most Contagious Countries” https://twistedeconotwist.wordpress.com/2010/11/27/the-worlds-most-contagious-countries-heres-the-list/.

  5. 5.

    Such ideas and concepts became popular through the book A.R. Sorkin (2009) “Too Big to Fail: Inside the Battle to Save Wall Street”, Viking Press; and through the movie “Too big to fail” (2011) HBO movie.

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Acknowledgements

This work has been performed in the framework of COST Action IS1104 “The EU in the new economic complex geography: models, tools and policy evaluation”. L.M.V. thanks the financial support of the Dirección Xeral de Saude Pública of the Xunta de Galicia (Spain) and the many fruitful discussions—and personal friendship—of X. Hervada and A. Malvar. L.M.V. wants to explicitly and strongly acknowledge the many contributions and useful discussions with his very close friends and colleagues J. Carrete and C. Ricoy-Riego, without whom this work would surely have not been done and life would be totally different.

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Varela, L.M., Rotundo, G. (2016). Complex Network Analysis and Nonlinear Dynamics. In: Commendatore, P., Matilla-García, M., Varela, L., Cánovas, J. (eds) Complex Networks and Dynamics. Lecture Notes in Economics and Mathematical Systems, vol 683. Springer, Cham. https://doi.org/10.1007/978-3-319-40803-3_1

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