Open AccessSPATIOTEMPORAL PERIODIC PATTERNS OF A TWO-DIMENSIONAL SYMMETRICALLY COUPLED MAP LATTICES
Author(s) -
Zhibin Wang,
Gang Hu
Publication year - 2001
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.50.1666
Subject(s) - jacobian matrix and determinant , diagonal , periodic orbits , physics , coupled map lattice , stability (learning theory) , lattice (music) , series (stratigraphy) , mathematical analysis , classical mechanics , geometry , mathematics , computer science , geology , paleontology , control (management) , synchronization of chaos , artificial intelligence , machine learning , acoustics , control theory (sociology)
Aim: The spatiotemporal periodic pattern of a two-dimensional symmetrically coupled map lattice is constructed. Method: Without solving the modeling equations, a series of spatiotemporal periodic orbits in coupled map lattices are deduced by known orbits of one-dimensional coupled map lattices with lower spatial period. The stability of the deduced orbits is analyzed. Results: The L2×L2 Jacobian matrices can be simplified as diagonal matrices of a few 2×2 matrices. Conclusion: The stability of constructed orbits can never be better than that of the original ones.