A new chaotic map with three isolated chaotic regions

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F62690094%3A18450%2F17%3A50005065" target="_blank" >RIV/62690094:18450/17:50005065 - isvavai.cz</a>

Výsledek na webu

<a href="http://dx.doi.org/10.1007/s11071-016-3087-4" target="_blank" >http://dx.doi.org/10.1007/s11071-016-3087-4</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/s11071-016-3087-4" target="_blank" >10.1007/s11071-016-3087-4</a>

Jazyk výsledku

angličtina

Název v původním jazyce

A new chaotic map with three isolated chaotic regions

Popis výsledku v původním jazyce

Intriguing as the discovery of new chaotic maps is, some new maps also bring new nonlinear phenomena of iterative map behavior. In this paper, we present a simple two-dimensional chaotic map which has three totally separated regions. The twin regions, creating strange and interesting attractors, are close to each other and vertically reflected however not identical in shape, while the distant region, generating a Hénon-like attractor, starts with period-doubling until complete chaos. Given the unusual behavior of the map introduced in this paper, we initially presented linear stability and bifurcation analysis per regions, with Lyapunov exponents and largest exponent computation. Besides the standardized calculations, what we focus here is to find out how a simple map can exhibit different chaotic behaviors in different regions.

Název v anglickém jazyce

A new chaotic map with three isolated chaotic regions

Popis výsledku anglicky

Intriguing as the discovery of new chaotic maps is, some new maps also bring new nonlinear phenomena of iterative map behavior. In this paper, we present a simple two-dimensional chaotic map which has three totally separated regions. The twin regions, creating strange and interesting attractors, are close to each other and vertically reflected however not identical in shape, while the distant region, generating a Hénon-like attractor, starts with period-doubling until complete chaos. Given the unusual behavior of the map introduced in this paper, we initially presented linear stability and bifurcation analysis per regions, with Lyapunov exponents and largest exponent computation. Besides the standardized calculations, what we focus here is to find out how a simple map can exhibit different chaotic behaviors in different regions.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10201 - Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)

Projekt

—

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2017

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

87

Číslo periodika v rámci svazku

2

Stát vydavatele periodika

NL - Nizozemsko

Počet stran výsledku

10

Strana od-do

903-912

Kód UT WoS článku

000392293200015

EID výsledku v databázi Scopus

2-s2.0-84988566035