BIFURCATION STRUCTURE AND PERIODIC-ORBITS OF THE LORENZ EQUATIONS IN THE PRANDTL NUMBER SPACE

Authors
LAI CH ZHOU CT YU MY
Citation
Ch. Lai et al., BIFURCATION STRUCTURE AND PERIODIC-ORBITS OF THE LORENZ EQUATIONS IN THE PRANDTL NUMBER SPACE, Modern physics letters B, 10(29), 1996, pp. 1431-1440
Citations number
13
Categorie Soggetti
Physics, Applied","Physics, Condensed Matter","Physycs, Mathematical
Journal title
Modern physics letters B → ACNP
ISSN journal
02179849
Volume
10
Issue
29
Year of publication
1996
Pages
1431 - 1440
Database
ISI
SICI code
0217-9849(1996)10:29<1431:BSAPOT>2.0.ZU;2-S
Abstract
The bifurcation structure and periodic orbits of the Lorenz system wit h the Prandtl number as the control parameter are investigated. It is shown that new bifurcation phenomena, both positive (forward) and inve rse (backward) bifurcations, which do not appear together in the Rayle igh number space, can appear. The orbit characteristics in typical per iodic windows are also studied.