A new chaotic map with three isolated chaotic regions

Result code in 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>
Result on the web
<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>

Result language
angličtina
Original language name
A new chaotic map with three isolated chaotic regions
Original language description
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.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10201 - Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)

Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2017
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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