{Chaotic Determinism (+ Extracts) [continued (9)]}[3rd August 1988]

[Redbook5:252][19880803:1949d]{Chaotic Determinism (+ Extracts) [continued (9)]}[3rd August 1988]

.1949

[continued]

‘As the bifurcations continued, it was possible to distinguish a strangely consistent pattern: new frequencies appeared at double the old, so that the diagram filled in the quarters and the eighths and the sixteenths, starting to resemble a picket fence with alternating short and tall pickets.’*

‘The miracle is that, in systems that are interesting, you can still understand behaviour in detail by a model with a small number of degrees of freedom.’**

‘Dissipation bleeds a complex system of many conflicting motions, eventually bringing the behaviour of many dimensions down to one.’***

*Ibid [Gleick, ‘Chaos, Making a New Science’, Heinemann, London, 1988], p205

(& see Ibid [Gleick, ‘Chaos, Making a New Science’, Heinemann, London, 1988] p206 diagram, where this result is shown as both a spectrum diagram (spikes) and a phase-space digram (loops).)

**Ibid, p208 (quoting P. Honenberg)

***Ibid, 209

[+C†I~ at the ‘beginning’ and ‘end’ of the Circle is also Unity]

[continues]

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