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A stochastic digital oscillating system induced by the truncation error

Sheng Li-Yuan Jia Wei-Yao

A stochastic digital oscillating system induced by the truncation error

Sheng Li-Yuan, Jia Wei-Yao
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  • Abstract views:  3156
  • PDF Downloads:  1023
  • Cited By: 0
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  • Received Date:  12 January 2005
  • Accepted Date:  20 June 2005
  • Published Online:  20 December 2005

A stochastic digital oscillating system induced by the truncation error

  • 1. 中南大学物理科学与技术学院,长沙 410083

Abstract: 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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