A chaotic system with rounded square equilibrium and with no-equilibrium
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26220%2F16%3APU120888" target="_blank" >RIV/00216305:26220/16:PU120888 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1016/j.ijleo.2016.10.100" target="_blank" >http://dx.doi.org/10.1016/j.ijleo.2016.10.100</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.ijleo.2016.10.100" target="_blank" >10.1016/j.ijleo.2016.10.100</a>
Alternative languages
Result language
angličtina
Original language name
A chaotic system with rounded square equilibrium and with no-equilibrium
Original language description
Chaotic systems with an infinite number of equilibrium points and chaotic ones without equilibrium have received a significant attention in the last years because they belong to a class of systems with “hidden attractor”. In this work, we introduce a three-dimensional chaotic system displaying both hidden attractors with infinite equilibria and hidden attractors without equilibrium. Surprisingly, when the system exhibits hidden attractors with infinite equilibria, it has a rounded square curve of equilibrium points. Dynamical properties of the new system are analyzed through equilibrium points, phase portraits, bifurcation diagram, and maximal Lyapunov exponents. Furthermore, circuit implementation of the system is presented showing another approach to study such system as well as its feasibility.
Czech name
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Czech description
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Classification
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
20201 - Electrical and electronic engineering
Result continuities
Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2016
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
OPTIK
ISSN
0030-4026
e-ISSN
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Volume of the periodical
127
Issue of the periodical within the volume
4
Country of publishing house
DE - GERMANY
Number of pages
7
Pages from-to
1-7
UT code for WoS article
000391777400043
EID of the result in the Scopus database
2-s2.0-85006340250