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Piecewise Smooth Systems: Equilibrium Points and Application to Gene Regulatory Networks

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Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 8584))

Abstract

After presenting the main issues of piecewise smooth dynamical systems, and defining the different types of equilibrium points, we focus on Piecewise Linear (PWL) systems. A result on the characterization of a particular type of PWL system is given, that relates the pseudo-equilibrium point of a PWL system with the solution of a linear algebraic system. Examples are given and an application to Gene Regularoy Networks (GRNs) is provided.

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Berardi, M. (2014). Piecewise Smooth Systems: Equilibrium Points and Application to Gene Regulatory Networks. In: Murgante, B., et al. Computational Science and Its Applications – ICCSA 2014. ICCSA 2014. Lecture Notes in Computer Science, vol 8584. Springer, Cham. https://doi.org/10.1007/978-3-319-09153-2_47

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  • DOI: https://doi.org/10.1007/978-3-319-09153-2_47

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-09152-5

  • Online ISBN: 978-3-319-09153-2

  • eBook Packages: Computer ScienceComputer Science (R0)

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