Visualization of Nonlinear Phenomena in Electric Circuits

Autor:	Kiyoshi Horii, Hisashi Endo, Seiji Hayano, Yuji Tanaka, Yoshifuru Saito
Rok vydání:	2005
Předmět:	State-transition matrix Magnetization Nonlinear system Ferroresonance in electricity networks Control theory Mathematical analysis Chaotic Initial value problem Backward Euler method Mathematics Visualization
Zdroj:	Journal of the Visualization Society of Japan. 25:177-180
ISSN:	1884-037X 0916-4731
DOI:	10.3154/jvs.25.supplement1_177
Popis:	This paper studies a typical ferroresonant circuit to visualize a regularity of nonlinear systems. At first, a Chua type magnetization model is outlined along with the nonlinear parameters: permeability μ, reversible permeability μr and hysteresis parameter s, independent of the past magnetization history. Second, we employ the iterative backward Euler method for the transient analysis of this initial value problem. The characteristic values of the state transition matrix are calculated in each of iteration step as well. Finally, visualization of the time varying characteristic values clarifies the stable system situation during the chaotic phenomenon exhibiting.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::5162f37b33b2ac3061f0089ea38ee001 https://doi.org/10.3154/jvs.25.supplement1_177 Zobrazit plný text záznamu