BOUNDEDNESS OF ATTRACTORS IN THE COMPLEX LORENZ MODEL

Authors
TORONOV VY DERBOV VL
Citation
Vy. Toronov et Vl. Derbov, BOUNDEDNESS OF ATTRACTORS IN THE COMPLEX LORENZ MODEL, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 55(3), 1997, pp. 3689-3692
Citations number
14
Categorie Soggetti
Physycs, Mathematical","Phsycs, Fluid & Plasmas
Journal title
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics → ACNP
ISSN journal
1063651X
Volume
55
Issue
3
Year of publication
1997
Part
B
Pages
3689 - 3692
Database
ISI
SICI code
1063-651X(1997)55:3<3689:BOAITC>2.0.ZU;2-R
Abstract
Using the properties of a principal fiber bundle associated with the c omplex Lorenz model phase space, we introduce a nonsingular base-space representation of the model. This representation enables us to find t he surfaces bounding the attractors in the base space and reveal the i nterconnection between boundedness properties and peculiarities of the phase dynamics of complex variables.