New chaotic dynamical system with a conic-shaped equilibrium located on the plane structure
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26220%2F17%3APU124733" target="_blank" >RIV/00216305:26220/17:PU124733 - isvavai.cz</a>
Result on the web
<a href="https://www.mdpi.com/2076-3417/7/10/976" target="_blank" >https://www.mdpi.com/2076-3417/7/10/976</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.3390/app7100976" target="_blank" >10.3390/app7100976</a>
Alternative languages
Result language
angličtina
Original language name
New chaotic dynamical system with a conic-shaped equilibrium located on the plane structure
Original language description
This paper presents a new autonomous deterministic dynamical system with equilibrium degenerated into a plane-oriented hyperbolic geometrical structure. It is demonstrated via numerical analysis and laboratory experiments that the discovered system has both a structurally stable strange attractor and experimentally measurable chaotic behavior. It is shown that the evolution of complex dynamics can be associated with a single parameter of a mathematical model and, due to one-to-one correspondence, to a single circuit parameter. Two-dimensional high resolution plots of the largest Lyapunov exponent and basins of attraction expressed in terms of final state energy are calculated and put into the context of the discovered third-order mathematical model and real chaotic oscillator. Both voltage- and current-mode analog chaotic oscillators are presented and verified by visualization of the typical chaotic attractor in a different fashion.
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
<a href="/en/project/GA15-22712S" target="_blank" >GA15-22712S: Chaotic tangles in subsystems of radiofrequency channel</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2017
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Applied Sciences - Basel
ISSN
2076-3417
e-ISSN
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Volume of the periodical
7
Issue of the periodical within the volume
10
Country of publishing house
CH - SWITZERLAND
Number of pages
13
Pages from-to
976-988
UT code for WoS article
000414457800014
EID of the result in the Scopus database
2-s2.0-85029813338