Three winged lateen shaped chaotic attractor

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F62690094%3A18450%2F15%3A50003814" target="_blank" >RIV/62690094:18450/15:50003814 - isvavai.cz</a>

Výsledek na webu

<a href="http://link.springer.com/article/10.1007%2Fs11071-015-2166-2" target="_blank" >http://link.springer.com/article/10.1007%2Fs11071-015-2166-2</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/s11071-015-2166-2" target="_blank" >10.1007/s11071-015-2166-2</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Three winged lateen shaped chaotic attractor

Popis výsledku v původním jazyce

Strange attractors are one of the most fascinating fields in chaos theory and nonlinear dynamics. Even though non-chaotic strange attractors may exist, what we introduce is a three winged lateen shaped attractor with fractal structure emerged by a new two-dimensional chaotic map. The initiation and also the majority of the analysis proposed in this paper consist of linear stability analysis to identify chaotic dynamics of the map and the attractor. Furthermore, bifurcations and corresponding Lyapunov exponents are investigated prior to the fractal dimension analysis. As an extension of the attractor we focused on and as a possible future research topic, various attractors out which the map brings with different chaotic parameters are also presented. Finally, we presented further possible analysis consisting of power spectra, basin of attraction, correlation dimension, and bounded regions.

Název v anglickém jazyce

Three winged lateen shaped chaotic attractor

Popis výsledku anglicky

Strange attractors are one of the most fascinating fields in chaos theory and nonlinear dynamics. Even though non-chaotic strange attractors may exist, what we introduce is a three winged lateen shaped attractor with fractal structure emerged by a new two-dimensional chaotic map. The initiation and also the majority of the analysis proposed in this paper consist of linear stability analysis to identify chaotic dynamics of the map and the attractor. Furthermore, bifurcations and corresponding Lyapunov exponents are investigated prior to the fractal dimension analysis. As an extension of the attractor we focused on and as a possible future research topic, various attractors out which the map brings with different chaotic parameters are also presented. Finally, we presented further possible analysis consisting of power spectra, basin of attraction, correlation dimension, and bounded regions.

Druh

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

CEP obor

IN - Informatika

OECD FORD obor

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Projekt

—

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2015

Kód důvěrnosti údajů

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

Název periodika

Nonlinear dynamics

ISSN

0924-090X

e-ISSN

—

Svazek periodika

82

Číslo periodika v rámci svazku

1-2

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

15

Strana od-do

435-449

Kód UT WoS článku

000362578100033

EID výsledku v databázi Scopus

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