Open AccessBEHAVIOR OF A WEAK COUPLED MAP SYSTEM IN THE PERIODIC WINDOWS
Author(s) -
E. J. Ding,
Lyu Yam-Nan
Publication year - 1992
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.41.704
Subject(s) - zigzag , lyapunov exponent , coupling (piping) , window (computing) , coupling strength , physics , computer science , geometry , mathematics , materials science , condensed matter physics , nonlinear system , quantum mechanics , metallurgy , operating system
It is shown analytically as well as numerically that a periodic window of the coupled map system exists only for very weak coupling strength (about 10-3 for period 3 window, for instance), which could be defined as the depth of the window. Within the windows the behavior of the coupled map system could be recovered by dealing with a few number of modes, which consist of coupled three maps. The first Lyapunov exponent for the coupled map system shows a "zigzag" curve form virsus the coupling strength.