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<p>In this paper we study the dynamics of a 3<i>D</i> model that simulates the availability of energy supply in a given region, considering different values of investment in new infrastructures. By utilizing the formal theory related to piecewise smooth vector fields, we will describe the local recurrent dynamics around a switching manifold <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(\Sigma\)</EquationSource> </InlineEquation>, which, after a perturbation, exhibits a Teixeira singularity that is asymptotically stable and can be seen as a market equilibrium.</p>

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Analyzing an Energy Market Using Piecewise Smooth Vector Fields

  • 期刊论文

  • 发表日期：

    2026年5月29日

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  • Tiago Carvalho,
  • Jackson Cunha,
  • Leonardo Serantola

摘要

In this paper we study the dynamics of a 3D model that simulates the availability of energy supply in a given region, considering different values of investment in new infrastructures. By utilizing the formal theory related to piecewise smooth vector fields, we will describe the local recurrent dynamics around a switching manifold \(\Sigma\) , which, after a perturbation, exhibits a Teixeira singularity that is asymptotically stable and can be seen as a market equilibrium.