TY - JOUR
T1 - Bounds for the set containing all compact invariant sets of the linearly coupled laser system
AU - Starkov, Konstantin E.
AU - Starkov, Konstantin K.
PY - 2008/4
Y1 - 2008/4
N2 - In this paper we study the localization problem of all compact invariant sets of the five-dimensional coupled laser system by applying the first-order extremum conditions. Our main results consist in finding a number of localization sets formed by frusta, a circular cylinder, two parabolic cylinders and some other quadratic surfaces. Parameters of these localization sets are computed explicitly.
AB - In this paper we study the localization problem of all compact invariant sets of the five-dimensional coupled laser system by applying the first-order extremum conditions. Our main results consist in finding a number of localization sets formed by frusta, a circular cylinder, two parabolic cylinders and some other quadratic surfaces. Parameters of these localization sets are computed explicitly.
KW - Compact set
KW - Invariant set
KW - Laser system
KW - Localization
KW - Nonlinear system
UR - http://www.scopus.com/inward/record.url?scp=45449095470&partnerID=8YFLogxK
U2 - 10.1142/S0218127408020938
DO - 10.1142/S0218127408020938
M3 - Artículo
SN - 0218-1274
VL - 18
SP - 1211
EP - 1217
JO - International Journal of Bifurcation and Chaos
JF - International Journal of Bifurcation and Chaos
IS - 4
ER -