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Dynamical Basis of Large Deviations and Power Laws in Complex Systems

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Abstract

One of the most unexpected results that came out of research in the physical and mathematical sciences over the last years is that quite ordinary and perfectly deterministic systems obeying to simple laws, can give rise spontaneously to behaviours of considerable complexity associated with abrupt transitions, a multiplicity of states, or a random-looking evolution to which one refers as deterministic chaos. This suggests that the action of elementary laws over a large number of units constituting a system and over long time periods can result in highly unexpected structures and events characterized by new, emergent properties absent at the level of the constituting elements (Nicolis, 1989). The need to devise methods for tackling these phenomena has led to the development of Nonlinear Science, which constitutes currently one of the most active and rapidly growing fields of research (Guckenheimer and Holmes, 1983).

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© 1993 Springer-Verlag Berlin · Heidelberg

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Nicolis, G. (1993). Dynamical Basis of Large Deviations and Power Laws in Complex Systems. In: Nijkamp, P., Reggiani, A. (eds) Nonlinear Evolution of Spatial Economic Systems. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-78463-7_12

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  • DOI: https://doi.org/10.1007/978-3-642-78463-7_12

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-78465-1

  • Online ISBN: 978-3-642-78463-7

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