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Nonlinear Switching (Local Theory): The Phenomena of Hidden Dynamics

  • Mike R. Jeffrey
Chapter

Abstract

We now resume the study of piecewise-smooth systems with general dependence on the variable x and the switching multiplier \(\boldsymbol{\lambda }\).

We begin by exploring some of the more exotic behaviours created by dynamics hidden inside the switching layer .

To see how much of our knowledge of linear systems—the content of the last chapter—applies in general, we also establish which features of linear switching are robust to small perturbations that are nonlinear in the switching multipliers and which features are not.

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Copyright information

© Springer Nature Switzerland AG 2018

Authors and Affiliations

  • Mike R. Jeffrey
    • 1
  1. 1.Department of Engineering MathematicsUniversity of BristolBristolUK

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