TY - GEN
T1 - Localization of compact invariant sets of one plasma dynamics model
AU - Starkov, Konstantin E.
AU - Loaiza, Diana Gamboa
PY - 2011
Y1 - 2011
N2 - In this paper we examine the problem of computing a compact localization domain which contains all compact invariant sets of one sixdimensional system describing the dynamics of low frequency, long wavelength electromagnetic field in a non-uniform magnetized plasma. Using the extremal-based approach elaborated by the first author in his previous papers we derive formulas for the localization domain by using several quadratic and rational localizing functions. Further, we show how to refine this localization by removing some pieces from the localization domain. Results of numerical simulation illustrating the localization domain for the chaotic attractor are provided.
AB - In this paper we examine the problem of computing a compact localization domain which contains all compact invariant sets of one sixdimensional system describing the dynamics of low frequency, long wavelength electromagnetic field in a non-uniform magnetized plasma. Using the extremal-based approach elaborated by the first author in his previous papers we derive formulas for the localization domain by using several quadratic and rational localizing functions. Further, we show how to refine this localization by removing some pieces from the localization domain. Results of numerical simulation illustrating the localization domain for the chaotic attractor are provided.
KW - Localization
KW - Modelling
KW - Simulation
KW - System theory
UR - http://www.scopus.com/inward/record.url?scp=79958179255&partnerID=8YFLogxK
U2 - 10.2316/P.2011.718-008
DO - 10.2316/P.2011.718-008
M3 - Contribución a la conferencia
AN - SCOPUS:79958179255
SN - 9780889868632
T3 - Proceedings of the IASTED International Conference on Modelling, Identification and Control
SP - 139
EP - 143
BT - Proceedings of the 31st IASTED International Conference on Modelling, Identification, and Control, MIC 2011
T2 - 31st IASTED International Conference on Modelling, Identification, and Control, MIC 2011
Y2 - 14 February 2011 through 16 February 2011
ER -