Open AccessA stochastic digital oscillating system induced by the truncation error
Author(s) -
Sheng Li-Yuan,
Jia Wei-Yao
Publication year - 2005
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.54.5574
Subject(s) - truncation error , truncation (statistics) , chaotic , sequence (biology) , chaos (operating system) , limiting , computer science , simple (philosophy) , focus (optics) , control theory (sociology) , mathematics , physics , optics , mechanical engineering , philosophy , computer security , epistemology , control (management) , artificial intelligence , machine learning , biology , engineering , genetics
It is generally believed that chaotic systems will collapse due to computer truncation error. In this paper we introduce a contrary example, in which a simple system is induced to complication or chaos completely by computer truncation. The system is defined as a cross-focus system in elliptical reflecting cavity map system. The theoretical solution is a limiting sequence and the computer solution is a stochastic digital oscillating system induced from the theoretical solution by truncation error. There is only a turn-round mechanism in the system theoretically. On the other hand, round-off induces the nonhyperbolic fixed points in the system to produce a new escape mechanism of intermittent chaos.