DETECTING THE STATE OF THE DUFFING OSCILLATOR BY PHASE SPACE TRAJECTORY AUTOCORRELATION

Autor:	Mohsen Nourazar, Vahid Rashtchi
Rok vydání:	2013
Předmět:	Lyapunov function Applied Mathematics Autocorrelation Chaotic Binary number Duffing equation Lyapunov exponent Nonlinear Sciences::Chaotic Dynamics symbols.namesake Control theory Modeling and Simulation Phase space symbols Trajectory Applied mathematics Engineering (miscellaneous) Mathematics
Zdroj:	International Journal of Bifurcation and Chaos. 23:1350065
ISSN:	1793-6551 0218-1274
Popis:	Detecting the state of the Duffing oscillator, a type of well-known chaotic oscillator, deeply affects the accuracy of its application. Considering this, the present paper introduced a novel method for detecting the state of the Duffing oscillator. Binary outputs, simple calculation, high precision and fast response time were the main advantages of the phase space trajectory autocorrelation. Also, this study explained the largest Lyapunov exponent as well as a number of other methods commonly employed in detecting the state of the Duffing oscillator. The precision and effectiveness of the method introduced was compared with other well-known state detection methods such as the 0-1 test and the largest Lyapunov exponent.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::b0c2793b0dd649ac332ac5079d9e7eff https://doi.org/10.1142/s021812741350065x Zobrazit plný text záznamu