| This has been a topic of interest for me for almost a decade so far. See also: non-linear dynamics, dynamical systems The study of Complexity in the US Sciences is fairly recent, with the notable kickoff of the Santa Fe Institute [1]. They have all the resources there, from classes to scientific conferences. A few book recommendations I've picked up over the years: - Lewin, Complexity: Life at the Edge of Chaos [2] (recommended for a gentle introduction with history) - Gleick, Chaos: Making a New Science [3] - Holland, Emergence: From Chaos To Order [4] - Holland, Signals and Boundaries: Building Blocks for Complex Adaptive Systems [5] - Holland, Hidden Order: How Adaptation Builds Complexity [6] (unread but part of the series) - Miller, Complex Adaptive Systems: An Introduction to Computational Models of Social Life [7] - Strogatz, Nonlinear Dynamics And Chaos: With Applications To Physics, Biology, Chemistry, And Engineering [11] (edit: forgot i had this on my desk) Also a shoutout to Stephen Wolfram, reading one of his articles [8] about underlying structures while stuck at an airport proved to be a pivotal moment in my life. - Wolfram's New Kind of Science, as an exploration of simple rules computed to the point of complex behavior. [9] - Wolfram's Physics Project, a later iteration on NKS ideas with some significant and thorough publication of work. [10] Links: [1] https://www.santafe.edu/ [2] https://www.amazon.com/gp/product/0226476553 [3] https://www.amazon.com/gp/product/0143113453 [4] https://www.amazon.com/gp/product/0738201421 [5] https://www.amazon.com/gp/product/0262525933 [6] https://www.amazon.com/Hidden-Order-Adaptation-Builds-Comple... [7] https://www.amazon.com/gp/product/0691127026 [8] https://writings.stephenwolfram.com/2015/12/what-is-spacetim... [9] https://www.wolframscience.com/nks/ [10] https://wolframphysics.org/ [11] https://www.amazon.com/Nonlinear-Dynamics-Chaos-Applications... |
To this already excellent list I would add that the Santa Fe Institute (mentioned above) is continually putting out new work and papers on this topic.
Examples here: https://www.santafe.edu/research/results/books