Open AccessCHAOTIC DIMENSIONS OF FORCED OREGONATOR OSCILLATOR AND CUBIC MAP
Author(s) -
Zhirong Chen,
Feiwu Chen,
Yuan Hui,
Xiaohui Li,
Zhao Lianqing,
Niu Wen-Zhang,
Chen Bing-Xing,
Teng Shu-Lan
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.41.1081
Subject(s) - chaotic , fixed point , physics , line (geometry) , character (mathematics) , point (geometry) , mathematical analysis , mathematics , geometry , computer science , artificial intelligence
In this paper, we prove that forced Oregonator oscillator may be describled by cubic map, for there are three fixed points in four variables differential equations and the transfer function of chaos represents the character of cubic curve. We find the DSP symbolic description of 3-point cycle BK; C, 4-point cycle BK; LC, BK; C, BRK; C and draw a cycle line of BRK; C. We find two of one type in period-doubling bifurcations along a straight line. We studied five chaotic behaviours. Its dimensions are 2.02-2.37. In the middle region of chaos, its dimensions are slightly smaller, i.e., 2.02 to 2.09. Near the 4-point cycle line, its dimensions are 2.16 to 2.34.