Titlebook: An Introduction to Complex Systems; Making Sense of a Ch Joe Tranquillo Textbook 2019 Springer Nature Switzerland AG 2019 Non-linear system

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Springer Nature Switzerland AG 2019

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Simple Rules,lexity can arise from simple rules. Iteration in time and the interactions between many-bodied systems are explored as pathways to emergent complexity. Examples are drawn from the logistic equation, cellular automaton, and agent-based systems, as a way to understand phenomenon such as flocking, mob

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Pattern Formation,and material, leading to the ability of a system to perform work. This chapter discusses how patterns form and the critical role they play in the development and maintenance of complex systems. Symmetry breaking is used to illustrate how patterns can emerge between completely heterogeneous (well-mix

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Networks,le line, ring, tree, grid, and other orderly networks are introduced and contrasted with random networks. Small-world and scale-free networks are explored as lying between ordered and random networks. Throughout, basic network measures such as histograms, clustering, centrality, pathlength, and diam

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Thermodynamics of Complex Systems,pter, thermodynamics is introduced as the study of energy flows. The basic ideas of energy, entropy, work, phase transitions, and the laws of thermodynamics are introduced through intuitive examples. These concepts are expanded beyond the usual heat-specific formulations to include any kind of gradi

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Game Theory,amework for developing and executing strategies that work in changing environments where many agents share a limited resource. Zero-sum games are explored in the context of game trees, the minimax algorithm, and rational players. Emergent and infinite games are also touched upon. Most of the focus i

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