On the dynamics of the Szekeres system

Jaume Llibre, Clàudia Valls

Research output: Contribution to journalArticleResearch

5 Citations (Scopus)


© 2018 Elsevier B.V. The gravitational Szekeres differential system is completely integrable with two rational first integrals and an additional analytical first integral. We describe the dynamics of the Szekeres system when one of these two rational first integrals is negative, showing that all the orbits come from the infinity of R4 and go to infinity.
Original languageEnglish
Pages (from-to)301-305
JournalPhysics Letters, Section A: General, Atomic and Solid State Physics
Publication statusPublished - 17 Jan 2019


  • Phase portrait
  • Poincaré compactification
  • Szekeres system


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