On Piecewise Affine Interval Maps with Countably Many Laps

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21110%2F11%3A00189590" target="_blank" >RIV/68407700:21110/11:00189590 - isvavai.cz</a>

Nalezeny alternativní kódy

RIV/61388998:_____/11:00364559

Výsledek na webu

<a href="http://dx.doi.org/10.3934/dcds.2011.31.753" target="_blank" >http://dx.doi.org/10.3934/dcds.2011.31.753</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.3934/dcds.2011.31.753" target="_blank" >10.3934/dcds.2011.31.753</a>

Jazyk výsledku

angličtina

Název v původním jazyce

On Piecewise Affine Interval Maps with Countably Many Laps

Popis výsledku v původním jazyce

We study a special conjugacy class F of continuous piecewise monotone interval maps: with countably many laps, which are locally eventually on to and have common topological entropy log 9. We show that F contains a piecewise affine map f(lambda) with a constant slope lambda if and only if lambda >= 9. Our result specifies the known fact that for piecewise affine interval leo maps with countably many pieces of monotonicity and a constant slope +/-lambda ,the topological (measure-theoretical) entropy is not determined by lambda.We also consider maps from the class F preserving the Lebesgue measure.We show that some of them have a knot point (a point x where Dini's derivatives satisfy D(+) f(x) = D(-) f(x) = infinity and D(+) f(x) = D(-) f(x) = -infinity)in its fixed point 1/2.

Název v anglickém jazyce

On Piecewise Affine Interval Maps with Countably Many Laps

Popis výsledku anglicky

We study a special conjugacy class F of continuous piecewise monotone interval maps: with countably many laps, which are locally eventually on to and have common topological entropy log 9. We show that F contains a piecewise affine map f(lambda) with a constant slope lambda if and only if lambda >= 9. Our result specifies the known fact that for piecewise affine interval leo maps with countably many pieces of monotonicity and a constant slope +/-lambda ,the topological (measure-theoretical) entropy is not determined by lambda.We also consider maps from the class F preserving the Lebesgue measure.We show that some of them have a knot point (a point x where Dini's derivatives satisfy D(+) f(x) = D(-) f(x) = infinity and D(+) f(x) = D(-) f(x) = -infinity)in its fixed point 1/2.

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

CEP obor

BA - Obecná matematika

OECD FORD obor

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Projekt

<a href="/cs/project/GA201%2F09%2F0854" target="_blank" >GA201/09/0854: Dynamika iterativních systémů</a><br>

Návaznosti

Z - Vyzkumny zamer (s odkazem do CEZ)

Rok uplatnění

2011

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Discrete and Continuous Dynamical Systems - Series A

ISSN

1078-0947

e-ISSN

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Svazek periodika

31

Číslo periodika v rámci svazku

3

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

10

Strana od-do

753-762

Kód UT WoS článku

000295093400007

EID výsledku v databázi Scopus

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