Window scaling in one-dimensional maps

T. Post; H.W. Capel; J.P. van der Weele

doi:10.1016/0375-9601(89)90188-6

Window scaling in one-dimensional maps

T. Post, H.W. Capel, J.P. van der Weele

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Abstract

We describe both the internal structure and the width of the periodic windows in one-dimensional maps, by considering a universal local submap. Both features are found to depend only on the order of the extremum of this submap. Moreover, we discuss how the windows are grouped in accumulating families, and we calculate the scaling of the widths within these families.

Original language	Undefined
Pages (from-to)	109-113
Journal	Physics letters A
Volume	136
Issue number	3
DOIs	https://doi.org/10.1016/0375-9601(89)90188-6
Publication status	Published - 1989

Keywords

IR-70561

Access to Document

10.1016/0375-9601(89)90188-6

Post89window

Cite this

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title = "Window scaling in one-dimensional maps",

abstract = "We describe both the internal structure and the width of the periodic windows in one-dimensional maps, by considering a universal local submap. Both features are found to depend only on the order of the extremum of this submap. Moreover, we discuss how the windows are grouped in accumulating families, and we calculate the scaling of the widths within these families.",

keywords = "IR-70561",

author = "T. Post and H.W. Capel and {van der Weele}, J.P.",

year = "1989",

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volume = "136",

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journal = "Physics letters A",

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TY - JOUR

T1 - Window scaling in one-dimensional maps

AU - Post, T.

AU - Capel, H.W.

AU - van der Weele, J.P.

PY - 1989

Y1 - 1989

N2 - We describe both the internal structure and the width of the periodic windows in one-dimensional maps, by considering a universal local submap. Both features are found to depend only on the order of the extremum of this submap. Moreover, we discuss how the windows are grouped in accumulating families, and we calculate the scaling of the widths within these families.

AB - We describe both the internal structure and the width of the periodic windows in one-dimensional maps, by considering a universal local submap. Both features are found to depend only on the order of the extremum of this submap. Moreover, we discuss how the windows are grouped in accumulating families, and we calculate the scaling of the widths within these families.

KW - IR-70561

U2 - 10.1016/0375-9601(89)90188-6

DO - 10.1016/0375-9601(89)90188-6

M3 - Article

SN - 0375-9601

VL - 136

SP - 109

EP - 113

JO - Physics letters A

JF - Physics letters A

IS - 3

ER -