Open AccessSUBHARMONIC STROBOSCOPIC SAMPLING METHOD FOR STUDY OF PERIOD-DOUBLING BIFURCATION AND CHAOTIC PHENOMENA IN FORCED NONLINEAR OSCILLATORS
Author(s) -
郝柏林,
张淑誉
Publication year - 1983
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.32.198
Subject(s) - period doubling bifurcation , chaotic , stroboscope , bifurcation , subharmonic , nonlinear system , ordinary differential equation , sampling (signal processing) , mathematics , mathematical analysis , physics , differential equation , computer science , optics , quantum mechanics , artificial intelligence , detector
By using subharmonic stroboscopic sampling method, very high resolution, comparable with that for discret mappings, has been reached in numerical study of periodically forced nonlinear oscillators. For the first time period-doubling bifurcation sequences up to 8192th subharmonics and corresponding sequences of chaotic bands are identified for a system, described by ordinary differential equations. Secondary and tertiary bifurcation sequences embedded in chaotic bands are shown to exist. Merits and limitations of this method as well as some precaution in using it are discussed briefly.