# Kneading sequences for double standard maps

Michael Benedicks; Ana Rodrigues

Fundamenta Mathematicae (2009)

- Volume: 206, Issue: 1, page 61-75
- ISSN: 0016-2736

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topMichael Benedicks, and Ana Rodrigues. "Kneading sequences for double standard maps." Fundamenta Mathematicae 206.1 (2009): 61-75. <http://eudml.org/doc/283066>.

@article{MichaelBenedicks2009,

abstract = {We investigate the symbolic dynamics for the double standard maps of the circle onto itself, given by $f_\{a,b\}(x) = 2x + a + (b/π)sin(2πx) (mod 1)$, where b = 1 and a is a real parameter, 0 ≤ a < 1.},

author = {Michael Benedicks, Ana Rodrigues},

journal = {Fundamenta Mathematicae},

keywords = {circle maps; kneading theory; symbolic dynamics; double standard maps},

language = {eng},

number = {1},

pages = {61-75},

title = {Kneading sequences for double standard maps},

url = {http://eudml.org/doc/283066},

volume = {206},

year = {2009},

}

TY - JOUR

AU - Michael Benedicks

AU - Ana Rodrigues

TI - Kneading sequences for double standard maps

JO - Fundamenta Mathematicae

PY - 2009

VL - 206

IS - 1

SP - 61

EP - 75

AB - We investigate the symbolic dynamics for the double standard maps of the circle onto itself, given by $f_{a,b}(x) = 2x + a + (b/π)sin(2πx) (mod 1)$, where b = 1 and a is a real parameter, 0 ≤ a < 1.

LA - eng

KW - circle maps; kneading theory; symbolic dynamics; double standard maps

UR - http://eudml.org/doc/283066

ER -

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