TY - JOUR
T1 - Localization of compact invariant sets of the Lorenz system
AU - Krishchenko, Alexander P.
AU - Starkov, Konstantin E.
N1 - Funding Information:
The work of A. Krishchenko was supported by Grant 05-01-00840 from the Russian Foundation for Basic Research.
PY - 2006/5/8
Y1 - 2006/5/8
N2 - The problem of finding domains in the state space of a nonlinear system which contain all compact invariant sets is considered. Such domains are computed for the Lorenz system by using different localizing functions.
AB - The problem of finding domains in the state space of a nonlinear system which contain all compact invariant sets is considered. Such domains are computed for the Lorenz system by using different localizing functions.
KW - Compact invariant sets
KW - First-order extremum conditions
KW - Localization
KW - Lorenz system
KW - Polynomial system
UR - http://www.scopus.com/inward/record.url?scp=33646491319&partnerID=8YFLogxK
U2 - 10.1016/j.physleta.2005.12.104
DO - 10.1016/j.physleta.2005.12.104
M3 - Artículo
SN - 0375-9601
VL - 353
SP - 383
EP - 388
JO - Physics Letters, Section A: General, Atomic and Solid State Physics
JF - Physics Letters, Section A: General, Atomic and Solid State Physics
IS - 5
ER -