Piecewise Smooth or Continuous ODE

Paulo Brito

Chapter Chapter 6 in Economic Dynamics and Distributions, 2026, pp 171-207 from Springer

Abstract: Abstract This chapter contains a brief introduction to piecewise smooth and piecewise continuous (or Filippov) ordinary differential equations. Although useful, they are not covered in economics textbooks. These are non-regular equations featuring switches in the law of motion of variables. The chapter provides an introduction to the main concepts, qualitative dynamics, and the associated discontinuity induced bifurcations. Illustrative applications in macroeconomics and in environment economics are included.

Date: 2026
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Persistent link: https://EconPapers.repec.org/RePEc:spr:dymchp:978-3-031-94717-9_6

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DOI: 10.1007/978-3-031-94717-9_6

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