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Spatially Extended Systems with Monotone Dynamics (Continuous Time)

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Dynamics of Coupled Map Lattices and of Related Spatially Extended Systems

Part of the book series: Lecture Notes in Physics ((LNP,volume 671))

Abstract

Broadly speaking, monotone dynamics means that some partial order is preserved under the dynamics, that is, if two solutions of some differential equation are ordered at an initial time, they remain in the same order at later times; we also speak of order-preserving dynamics. This monotonicity property makes the dynamics comparatively simple.

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  1. Mathematics Institute, University of Warwick., Coventry CV4 7AL, UK

    C Baesens

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  1. C Baesens
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Baesens, C. Spatially Extended Systems with Monotone Dynamics (Continuous Time). In: Dynamics of Coupled Map Lattices and of Related Spatially Extended Systems. Lecture Notes in Physics, vol 671. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11360810_10

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  • DOI: https://doi.org/10.1007/11360810_10

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-24289-5

  • Online ISBN: 978-3-540-31520-9

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