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Generalized Lorenz Canonical Form Revisited
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SYSNO ASEP 0542173 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Generalized Lorenz Canonical Form Revisited Author(s) Čelikovský, Sergej (UTIA-B) RID, ORCID
Chen, G. (CN)Number of authors 2 Article number 2150079 Source Title International Journal of Bifurcation and Chaos. - : World Scientific Publishing - ISSN 0218-1274
Roč. 31, č. 5 (2021)Number of pages 15 s. Publication form Print - P Language eng - English Country SG - Singapore Keywords Generalized Lorenz system ; generalized Lorenz canonical form ; hyperbolic generalized Lorenz system ; hyperbolic generalized Lorenz canonical form. Subject RIV BC - Control Systems Theory OECD category Electrical and electronic engineering R&D Projects GA19-05872S GA ČR - Czech Science Foundation (CSF) Method of publishing Limited access Institutional support UTIA-B - RVO:67985556 UT WOS 000646944500001 EID SCOPUS 85105606088 DOI 10.1142/S0218127421500796 Annotation 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. Workplace Institute of Information Theory and Automation Contact Markéta Votavová, votavova@utia.cas.cz, Tel.: 266 052 201. Year of Publishing 2022 Electronic address https://www.worldscientific.com/doi/abs/10.1142/S0218127421500796
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