QuoteRef: zeemEC4_1976

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chaotic behavior


Zeeman, E.C., "Catastrophe Theory", Scientific American , 234, 4, pp. 65-83 , April 1976. Google

65 ;;Quote: catastrophe theory describes the shapes of equilibrium surfaces; for at most 4 factors, there are 7 elementary catastrophes
66 ;;Quote: model a dog's performance under rage and fear by a behavioral surface with a cusp catastrophe
66 ;;Quote: the behavioral surface for a dog under rage and fear contains a pleat of unlikely behavior that narrows to a point
68 ;;Quote: the fold curve in catastrophe theory marks the edges of the pleat
68 ;;Quote: a pleated behavioral surface represents the cusp catastrophe; the fold curve appears as a cusp
68+;;Quote: the cusp catastrophe is the most productive of catastrophe theory
68 ;;Quote: in a cusp catastrophe, the behavior surface has two sheets of possible behaviors and an intermediate sheet of inaccessible behavior
75 ;;Quote: the attractor of a system is a stable cycle of states; e.g., the base note of a bowed violin string
67 ;;Quote: divergent behavior at the singularity of a cusp catastrophe; behavior depends critically on conditions
80 ;;Quote: if a process is governed by only two control factors, then its behavior surface can only have folds and cusps; e.g., a cusp catastrophe
80 ;;Quote: the butterfly catastrophe occurs from trimodal behavior; allows a stable, compromise position
80 ;;Quote: the butterfly factor creates three cusps with a triangular pocket supporting stable behavior

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ThesaHelp: references t-z (309 items)
Topic: chaotic behavior (27 items)
Group: psychology   (9 topics, 303 quotes)

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