Comportement itératif des fonctions à multiseuil

E. Goles; J. Olivos

doi:10.1016/S0019-9958(80)90681-6

Comportement itératif des fonctions à multiseuil

E. Goles, J. Olivos

Research output: Contribution to journal › Article › peer-review

13 Scopus citations

Abstract

It is shown, for a finite set, E, of real numbers, and a function Δ from Eⁿ to Eⁿ, whose components form a set of symmetric increasing threshold functions, that the repeated application of Δ leads either to a fixed point or to a cycle of length two.

Original language	French
Pages (from-to)	300-313
Number of pages	14
Journal	Information and Control
Volume	45
Issue number	3
DOIs	https://doi.org/10.1016/S0019-9958(80)90681-6
State	Published - Jun 1980
Externally published	Yes

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10.1016/S0019-9958(80)90681-6

Cite this

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title = "Comportement it{\'e}ratif des fonctions {\`a} multiseuil",

abstract = "It is shown, for a finite set, E, of real numbers, and a function Δ from En to En, whose components form a set of symmetric increasing threshold functions, that the repeated application of Δ leads either to a fixed point or to a cycle of length two.",

author = "E. Goles and J. Olivos",

year = "1980",

month = jun,

doi = "10.1016/S0019-9958(80)90681-6",

language = "French",

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pages = "300--313",

journal = "Information and Control",

issn = "0019-9958",

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AU - Goles, E.

AU - Olivos, J.

PY - 1980/6

Y1 - 1980/6

N2 - It is shown, for a finite set, E, of real numbers, and a function Δ from En to En, whose components form a set of symmetric increasing threshold functions, that the repeated application of Δ leads either to a fixed point or to a cycle of length two.

AB - It is shown, for a finite set, E, of real numbers, and a function Δ from En to En, whose components form a set of symmetric increasing threshold functions, that the repeated application of Δ leads either to a fixed point or to a cycle of length two.

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U2 - 10.1016/S0019-9958(80)90681-6

DO - 10.1016/S0019-9958(80)90681-6

M3 - Article

AN - SCOPUS:49149146625

SN - 0019-9958

VL - 45

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EP - 313

JO - Information and Control

JF - Information and Control

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