0542173 20240111141051.420210506235959.9 85105606088 000646944500001 10.1142/S0218127421500796 15 s. P cav_un_epca*02567760218-127431World Scientific Publishing Generalized Lorenz system generalized Lorenz canonical form hyperbolic generalized Lorenz system hyperbolic generalized Lorenz canonical form. cav_un_auth*0101074 Čelikovský Sergej UTIA-B Teorie řízení Department of Control Theory TŘ TR Department of Control Theory Ústav teorie informace a automatizace AV ČR, v. v. i. cav_un_auth*0015678 Chen G. CN článek v odborném periodiku 207,09 KB http://library.utia.cas.cz/separaty/2021/TR/celikovsky-0542173.pdf https://www.worldscientific.com/doi/abs/10.1142/S0218127421500796 GA19-05872S GA ČR CZ cav_un_auth*0376352 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. WOS BC 20000 20200 20201 2022 2 RVO:67985556 http://hdl.handle.net/11104/0320102 1 cav_un_auth*0408747 Department of Electrical Engineering, City University of Hong Kong, Hong Kong SAR, P. R. China S 2150079 3+4 Article Mathematics Interdisciplinary Applications|Multidisciplinary Sciences C MATHEMATICS.INTERDISCIPLINARYAPPLICATIONS|MULTIDISCIPLINARYSCIENCES 2.389 0.498 9 0.0056 0.439 9035 120 0.689 36.25 2.48 2044 Q1 2.079 303 Q2 55.9 Q3 Q2 0.85 Q1 65.278 2021 85105606088 SCOPUS PUBMED 000646944500001 WOS článek v odborném periodiku 207,09 KB cav_un_epca*0256776 International Journal of Bifurcation and Chaos 0218-1274 1793-6551 Roč. 31 č. 5 2021 World Scientific Publishing