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CYCLE (Stable)

From glossaLAB
Charles François (2004). CYCLE (Stable), International Encyclopedia of Systems and Cybernetics, 2(1): 806.
Collection International Encyclopedia of Systems and Cybernetics
Year 2004
Vol. (num.) 2(1)
ID 806
Object type Methodology or model

After defining what is a recurrent cycle, ASHBY states that: “If the cycle is wholly contained in a given region, and the lines of behavior lead into the cycle, the cycle is stable”.

ASHBY gives an enlightening example: “Such a cycle is commonly shown by thermostats which, after correcting any gross displacement, settle down to a steady oscillation. In such case the field will show, not convergence to a point but convergence to a cycle” (1960, p.49).

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