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Equilibria in Dynamical Systems

  • Adam B. Levy
Chapter
Part of the SpringerBriefs in Optimization book series (BRIEFSOPTI)

Abstract

We review some basic concepts from classical dynamical systems, including equilibria, phase space, trajectories, basins of attraction, stability, and asymptotic stability. We also highlight some recently introduced concepts of basin size and basin entropy. We present subgradient systems as generalizations of gradient systems and connect the equilibria of these to the minimizers of the objective function underlying the system.

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Copyright information

© The Author(s), under exclusive licence to Springer Nature Switzerland AG 2018

Authors and Affiliations

  • Adam B. Levy
    • 1
  1. 1.Bowdoin CollegeBrunswickUSA

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