Heteroclinic, homoclinic and closed orbits in the chen system

G. Tigan, J. Llibre

Research output: Contribution to journalArticleResearchpeer-review

16 Citations (Scopus)


© 2016 World Scientific Publishing Company. Bounded orbits such as closed, homoclinic and heteroclinic orbits are discussed in this work for a Lorenz-like 3D nonlinear system. For a large spectrum of the parameters, the system has neither closed nor homoclinic orbits but has exactly two heteroclinic orbits, while under other constraints the system has symmetrical homoclinic orbits.
Original languageEnglish
Article number1650072
JournalInternational Journal of Bifurcation and Chaos in Applied Sciences and Engineering
Issue number4
Publication statusPublished - 1 Apr 2016


  • ODE systems
  • bifurcations
  • homoclinic and heteroclinic orbits

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