Generalized Lorenz Canonical Form Revisited
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985556%3A_____%2F21%3A00542173" target="_blank" >RIV/67985556:_____/21:00542173 - isvavai.cz</a>
Result on the web
<a href="https://www.worldscientific.com/doi/abs/10.1142/S0218127421500796" target="_blank" >https://www.worldscientific.com/doi/abs/10.1142/S0218127421500796</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1142/S0218127421500796" target="_blank" >10.1142/S0218127421500796</a>
Alternative languages
Result language
angličtina
Original language name
Generalized Lorenz Canonical Form Revisited
Original language description
This paper completes the description of the generalized Lorenz system (GLS) and hyperbolic generalized Lorenz system (HGLS) along with their canonical forms (GLCF, HGLCF), mostly presented earlier, by deriving explicit state transformation formulas to prove the equivalenc between GLS and GLCF, as well as between HGLS and HGLCF. Consequently, complete formulations of the generalized Lorenz canonical systems and forms, and their hyperbolic settings, are obtained and presented. Only potentially chaotic systems are classified, which significantly helps clarify the respective canonical forms. To do so, some tools for systems to exclude chaotic behavior are developed, which are interesting in their own right for general dynamical systems theory. The new insight may inspire future investigations of generalized and canonical formulations of some other types of chaotic systems.
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
—
OECD FORD branch
20201 - Electrical and electronic engineering
Result continuities
Project
<a href="/en/project/GA19-05872S" target="_blank" >GA19-05872S: Synchronization and decentralized control of complex networks</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2021
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
International Journal of Bifurcation and Chaos
ISSN
0218-1274
e-ISSN
1793-6551
Volume of the periodical
31
Issue of the periodical within the volume
5
Country of publishing house
SG - SINGAPORE
Number of pages
15
Pages from-to
21500
UT code for WoS article
000646944500001
EID of the result in the Scopus database
2-s2.0-85105606088