PROPERTIES OF THE PHASE-SPACE AND BIFURCATIONS IN THE COMPLEX LORENZ MODEL

Citation
Ag. Vladimirov et al., PROPERTIES OF THE PHASE-SPACE AND BIFURCATIONS IN THE COMPLEX LORENZ MODEL, Technical physics, 43(8), 1998, pp. 877-884
Citations number
34
Categorie Soggetti
Physics, Applied
Journal title
ISSN journal
10637842
Volume
43
Issue
8
Year of publication
1998
Pages
877 - 884
Database
ISI
SICI code
1063-7842(1998)43:8<877:POTPAB>2.0.ZU;2-C
Abstract
The geometrical structure of the phase space and bifurcations in the c omplex Lorenz model are investigated. It is shown that the hierarchy o f bifurcations in a single-mode laser with detuning of the resonator f requency from the frequency of a spectral line is similar to the hiera rchy of bifurcations of the logistic map. (C) 1998 American Institute of Physics. [S1063-7842(98)00108-1].