Open Access“The quasi invariant V” analysis for the chaotic behavior of Lorenz map in the nearest neighborhood of the second threshold of laser
Author(s) -
宋立平,
郭奇志,
谭维翰
Publication year - 2004
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.53.119
Subject(s) - chaotic , lorenz system , invariant (physics) , physics , k nearest neighbors algorithm , instability , statistical physics , constant (computer programming) , oscillation (cell signaling) , mathematical analysis , nonlinear system , mathematical physics , mathematics , quantum mechanics , computer science , artificial intelligence , biology , genetics , programming language
In order to study the laser oscillation instability, in this paper we present the “quasi invariant V” method for analysis of the chaotic behavior of Lorenz map in the nearest neighborhood of the second threshold of laser, and demonstrate the relation between initial value V0 and the time tc for the occurrence of chaos, i.e. V0tc equals a constant C0 depending on the parameter σ,b,r of the system.