Complex systems · history

A short history

How the field came together — a few of the milestones, with sources. Dates are approximate where a body of work spans years. For how it all connects, see the map.

1. 1890 Henri Poincaré ↗ The three-body problem reveals sensitive dependence on initial conditions — a seed of chaos theory.
2. 1948 Norbert Wiener ↗ Cybernetics founds the study of feedback and control across animals and machines.
3. 1948 Claude Shannon ↗ Information theory gives a mathematics for signal, noise, and entropy.
4. 1948 Warren Weaver ↗ “Science and Complexity” names the problem of organised complexity that the field would take up.
5. 1952 Alan Turing ↗ Reaction–diffusion shows pattern emerging spontaneously from a uniform state.
6. 1963 Edward Lorenz ↗ “Deterministic Nonperiodic Flow” — deterministic chaos and the Lorenz attractor.
7. 1968 Ludwig von Bertalanffy ↗ General System Theory argues organising principles cut across disciplines (ideas from the 1940s).
8. 1972 Philip W. Anderson ↗ “More Is Different” makes the philosophical case against strict reductionism.
9. 1976 Robert May ↗ The logistic map shows a simple equation generating chaos — pivotal for ecology.
10. 1977 Ilya Prigogine ↗ Nobel Prize for dissipative structures — order arising far from equilibrium.
11. 1975–82 Mandelbrot, Holland, Feigenbaum ↗ Fractal geometry, genetic algorithms, and universality in the route to chaos.
12. 1984 Santa Fe Institute founded ↗ A dedicated home for complexity science (Murray Gell-Mann among its founders).
13. 1987 Bak, Tang & Wiesenfeld ↗ Self-organized criticality — systems tuning themselves to the critical point.
14. 1998–99 Watts & Strogatz; Barabási & Albert ↗ Small-world and scale-free networks open the modern science of networks.