제어로봇시스템학회:학술대회논문집
- 1994.10a
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- Pages.753-757
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- 1994
Collapsing effects in numerical simulation of chaotic dynamical systems
- Daimond, P. (Department of Mathematics, Univ. of Queensland) ;
- Kloeden, P. (Department of Mathematics Deakin University) ;
- Pokrovskii, A. (Department of Mathematics, Univ. of Queensland) ;
- Suzuki, M. (Department of Mathematics, Univ. of Queensland)
- Published : 1994.10.01
Abstract
In control system design, whether the various subsystems are in discrete time or continuous time, the state space is usually regarded as a continuum. However, when the system is implemented, some subsystems may have a state space which is a subset of finite computer arithmetic. This is an important concern if a subsystem has chaotic behaviour, because it is theoretically possible for rich and varied motions in a continuum to collapse to trivial and degenerate behaviour in a finite and discrete state space [5]. This paper discusses new ways to describe these effects and reports on computer experiments which document and illustrate such collapsing behaviour.
Keywords