Encounter with Chaos

Encounter with Chaos
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遭遇混沌

DOI:
10.1007/978-3-642-77625-0
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发表时间:
1992
期刊:
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影响因子:
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通讯作者:
R. Stoop
R. Stoop
中科院分区:
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文献类型:
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作者:
J. Peinke;J. Parisi;O. Rössler;R. Stoop

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我们的生活是一个高度非线性的过程。它以出生开始,以死亡结束;在两者之间有很多起伏。很多时候,我们认为稳定和稳定的情况,可能很容易通过线性化来捕捉,是天方夜谭,但在一小段日常生活之后,我们通常会变得无聊,寻求改变,也就是非线性。如果我们反思一段时间,我们会注意到我们的生活和我们的感知主要是由非线性现象决定的,例如,突然和意外发生的事件。人们可能会惊讶于科学家们花了多长时间试图用基于线性变换的模型来解释我们的世界。由于缺乏典型的非线性模式,虽然每个人都经历过非线性,但没有人能对它们进行分类,从而·对它们进行进一步的研究。过去几十年的发现终于提供了进入非线性现象世界的途径,并开创了一个独特的跨学科研究领域:非线性科学。与科学由于任何进步而变得更加分支和专业化的总体趋势相反,非线性科学将许多不同的学科聚集在一起。这不仅是因为非线性对科学的巨大重要性,也是因为概念的奇妙简单性。像逻辑地图这样的模型很容易被高中生理解,并为我们的科学理解带来了革命性的新见解。
Our life is a highly nonlinear process. It starts with birth and ends with death; in between there are a lot of ups and downs. Quite often, we believe that stable and steady situations, probably easy to capture by linearization, are paradisiacal, but already after a short period of everyday routine we usually become bored and seek change, that is, nonlinearities. If we reflect for a while, we notice that our life and our perceptions are mainly determined by nonlinear phenomena, for example, events occurring suddenly and unexpectedly. One may be surprised by how long scientists tried to explain our world by models based on a linear ansatz. Due to the lack of typical nonlinear patterns, although everybody experienced nonlinearities, nobody could classify them and, thus,· study them further. The discoveries of the last few decades have finally provided access to the world of nonlinear phenomena and have initiated a unique inter disciplinary field of research: nonlinear science. In contrast to the general tendency of science to become more branched out and specialized as the result of any progress, nonlinear science has brought together many different disciplines. This has been motivated not only by the immense importance of nonlinearities for science, but also by the wonderful simplicity ohhe concepts. Models like the logistic map can be easily understood by high school students and have brought revolutionary new insights into our scientific under standing.