Abstract
In the following we shall be concerned with the properties of physical systems with competing periodicities. Two very different situations will be considered. In the first case the competition is between two periods in time, or two frequencies, in a system which is at the verge of entering into a chaotic state. In the second case the competition is between two periods in space. Although the physical phenomena are very different, the mathematical description of the resulting behavior is very much the same. In both cases there is a nonlinear coupling which tends to lock the two periods together.
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© 1983 Springer-Verlag Berlin Heidelberg
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Bak, P. (1983). Universality and Fractal Dimension of Mode-Locking Structure in Systems with Competing Periodicities. In: Benedek, G., Bilz, H., Zeyher, R. (eds) Statics and Dynamics of Nonlinear Systems. Springer Series in Solid-State Sciences, vol 47. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-82135-6_16
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DOI: https://doi.org/10.1007/978-3-642-82135-6_16
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