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:
[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...