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

Mike R. Jeffrey
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Mike R. Jeffrey: University of Bristol, Department of Engineering Mathematics

Chapter Chapter 9 in Hidden Dynamics, 2018, pp 201-241 from Springer

Abstract: Abstract We now resume the study of piecewise-smooth systems with general dependence on the variable x and the switching multiplier switching multiplier λ $$\boldsymbol{\lambda }$$ . We begin by exploring some of the more exotic behaviours created by dynamics hidden inside the switching layer 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.

Date: 2018
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DOI: 10.1007/978-3-030-02107-8_9

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