Abstract
Since this workshop brings together mathematicians, on the one hand, and research workers in the field of natural sciences, on the other, I will try to present the basic ideas of my talk in a form which is not too technical. Furthermore I can omit details because they are laid down in a number of recent articles and a book of mine [1],[2]. I shall first outline what I mean by transition phenomena. As will transpire from the examples, the general feature common to the transition phenomena I treat here are dramatic changes on macroscopic scales.
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References
H. Haken: Synergetics. An Introduction ,2nd ed., Springer Series in Synergetics, Vol. I (Springer, Berlin, Heidelberg, New York 1978)
Springer Series in Synergetics Vol. 2: Synergetics. A Workshop ,ed. by H. Haken (1977)(Springer, Berlin, Heidelberg, New York)
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For recent reviews consult the contributions of Busse, Gollub, Koschmieder, Swinney and others to Ref. 2
G. Nicolis, I. Prigogine: Self-Organization in Nonequilibrium Systems (Wiley-Interscience, New York 1977)
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H. Haken: To be published
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Yin Chia-Shun: Fluid Mechanics (McGraw-Hill, New York 1969)
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© 1981 Springer-Verlag Berlin Heidelberg
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Haken, H. (1981). Transition Phenomena in Nonlinear Systems. In: Arnold, L., Lefever, R. (eds) Stochastic Nonlinear Systems in Physics, Chemistry, and Biology. Springer Series in Synergetics, vol 8. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-68038-0_2
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DOI: https://doi.org/10.1007/978-3-642-68038-0_2
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