attractors

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Life as a Double Fixed Point Life as a Double Fixed Point
22 min read Keywords:  biology, criticality, homeostasis, Waddington, Kauffman, DNA, self-reproduction, attractors

Living systems are not fixed points in the naive sense but robust attractors and self-reproducing machines, whose encoded description takes part in their own continuation.

Fixed Points and Attractors Fixed Points and Attractors
19 min read Keywords:  fixed points, attractors, dynamical systems, Banach, Newton method, logistic map

The foundation of the ladder: repeated rules, dynamical systems, fixed points, attractors, basins, bifurcations, Newton iteration, and the logistic map.