A stochastic digital oscillating system induced by the truncation error | Zendy

Liyuan Sheng | Zendy; Jia Wei-Yao | Zendy

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A stochastic digital oscillating system induced by the truncation error

Author(s) -

Liyuan Sheng,

Jia Wei-Yao

Publication year - 2005

Publication title -

acta physica sinica

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.

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