Heteroclinic, homoclinic and closed orbits in the chen system

G. Tigan, J. Llibre

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13 Citations (Scopus)

Abstract

© 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
Volume26
Issue number4
DOIs
Publication statusPublished - 1 Apr 2016

Keywords

  • bifurcations
  • homoclinic and heteroclinic orbits
  • ODE systems

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  • Cite this

    Tigan, G., & Llibre, J. (2016). Heteroclinic, homoclinic and closed orbits in the chen system. International Journal of Bifurcation and Chaos, 26(4), [1650072]. https://doi.org/10.1142/S0218127416500723