| Information | |
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| has gloss | eng: In mathematics, especially in the study of dynamical systems, a limit set is the state a dynamical system reaches after an infinite amount of time has passed, by either going forward or backwards in time. Limit sets are important because they can be used to understand the long term behavior of a dynamical system. Examples of limit sets include fixed points, periodic orbits, limit cycles and attractors. |
| lexicalization | eng: A-limit set |
| lexicalization | eng: A-limit |
| lexicalization | eng: limit set |
| lexicalization | eng: O-limit set |
| lexicalization | eng: O-limit |
| instance of | c/Limit sets |
| Meaning | |
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| Chinese | |
| has gloss | zho: 在数学领域,特别是对于动力系统的研究中,极限集合(或称极限集、极限点集)是一个动力系统在时间趋于无穷的时候的极限点的集合。极限集合有两种,分别是时间正向流动至正无穷时的极限点集合和时间反向流动回溯至负无穷时的极限点集合。在动力系统研究中,极限集合可以用来理解动力系统的长期性态。动力系统中的极限集合的种类包括有奇点,周期轨线,极限环和吸引子。 |
| lexicalization | zho: 极限集合 |
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