On the global dynamics of a finance model

Jaume Llibre, Clàudia Valls

Research output: Contribution to journalArticleResearchpeer-review

5 Citations (Scopus)

Abstract

© 2017 Elsevier Ltd Recently several works have studied the following model of finance x˙=z+(y−a)x,y˙=1−by−x2,z˙=−x−cz,where a, b and c are positive real parameters. We study the global dynamics of this polynomial differential system, and in particular for a one–dimensional parametric subfamily we show that there is an equilibrium point which is a global attractor.
Original languageEnglish
Pages (from-to)1-4
JournalChaos, Solitons and Fractals
Volume106
DOIs
Publication statusPublished - 1 Jan 2018

Keywords

  • Darboux invariant
  • Finance model
  • Global dynamics
  • Poincaré compactification

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