Ústav teorie informace a automatizace

Jste zde

Bibliografie

Journal Article

Generalized Lorenz Canonical Form Revisited

Čelikovský Sergej, Chen G.

: International Journal of Bifurcation and Chaos vol.31, 2150079

: GA19-05872S, GA ČR

: Generalized Lorenz system, generalized Lorenz canonical form, hyperbolic generalized Lorenz system, hyperbolic generalized Lorenz canonical form.

: 10.1142/S0218127421500796

: http://library.utia.cas.cz/separaty/2021/TR/celikovsky-0542173.pdf

: https://www.worldscientific.com/doi/abs/10.1142/S0218127421500796

(eng): 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.

: BC

: 20201

07.01.2019 - 08:39