TY - JOUR
T1 - Bounds for a domain containing all compact invariant sets of the system describing the laser-plasma interaction
AU - Starkov, Konstantin E.
PY - 2009/2/28
Y1 - 2009/2/28
N2 - In this paper we consider the localization problem of compact invariant sets of the system describing the laser-plasma interaction. We establish that this system has an ellipsoidal localization for simple restrictions imposed on its parameters. Then we improve this localization by applying other localizing functions. In addition, we give sufficient conditions under which the origin is the unique compact invariant set.
AB - In this paper we consider the localization problem of compact invariant sets of the system describing the laser-plasma interaction. We establish that this system has an ellipsoidal localization for simple restrictions imposed on its parameters. Then we improve this localization by applying other localizing functions. In addition, we give sufficient conditions under which the origin is the unique compact invariant set.
UR - http://www.scopus.com/inward/record.url?scp=63649090922&partnerID=8YFLogxK
U2 - 10.1016/j.chaos.2007.06.078
DO - 10.1016/j.chaos.2007.06.078
M3 - Artículo
SN - 0960-0779
VL - 39
SP - 1671
EP - 1676
JO - Chaos, Solitons and Fractals
JF - Chaos, Solitons and Fractals
IS - 4
ER -