Hodgkin-Huxley, Memristors, and Edge of Chaos
summary
Claims that the Hodgkin‑Huxley potassium and sodium “time‑varying resistances” are actually memristors and reclassifies those circuit elements, uses matrix algebra to give an explicit test for local activity and the tiny parameter window called the edge of chaos (examples: ~0.007 mV or ~1.94 μA), gives a Nyquist‑plot recipe to detect it, presents circuits and experiments that reproduce Pavlovian associative memory, demonstrate Turing instability and the Smale paradox, and points to billion‑device memristor arrays for low‑power AI.
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chapters (8)
- 0:00Defining the memristor
- 10:28Memristor fundamentals
- 13:53Biological synapses
- 17:52Associative learning
- 22:16Edge of chaos and stability
- 27:22Local activity principle
- 30:27Turing instability and paradox
- 34:23Future of computing
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