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Titlebook: Complex and Adaptive Dynamical Systems; A Primer Claudius Gros Textbook 20154th edition Springer International Publishing Switzerland 2015

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https://doi.org/10.1007/978-3-322-88962-1warm intelligence, as occurring in social insect and flocking birds, information offloading in terms of stigmergy, opinion dynamics and the physics of traffic flows, including the ubiquitous phenomenon of self-organized traffic congestions.
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Bifurcations and Chaos in Dynamical Systems,d. Most of the chapter will be devoted to ordinary differential equations and maps, the traditional focus of dynamical system theory, venturing however towards the end into the intricacies of time-delayed dynamical systems.
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Complexity and Information Theory,nd the central limiting theorem. We will then discuss the Shannon entropy and the mutual information, which play central roles both in the context of time series analysis and as starting points for the formulation of quantitative measures of complexity. This chapter then concludes with a short overview over generative approaches to complexity.
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Random Boolean Networks,ical system. They allow the formulation and investigation of important concepts like phase transition in the resulting dynamical state. They are also recognized to be the starting points for the modeling of gene expression and protein regulation networks; the fundamental networks at the basis of all life.
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Grundlegende Formeln und Bezeichnungen, together with basic network realizations. Central concepts like percolation, the robustness of networks with regard to failure and attacks, and the “rich-get-richer” phenomenon in evolving social networks will be treated.
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Datenstrukturen und Effiziente Algorithmen,ughout this chapter. Starting with the paradigmal Kuramoto model we will learn that synchronization processes may be driven either by averaging dynamical variables or through causal mutual influences.
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