In this paper a Lorenz-like system, describing convective fluid motion in rotating cavity, is considered. It is shown numerically that this system, like the classical Lorenz system, possesses a homoclinic trajectory and a chaotic self-excited attractor. However, for the considered system, unlike the classical Lorenz system, along with self-excited attractor a hidden attractor can be localized. Analytical-numerical localization of hidden attractor is demonstrated.

Original languageEnglish
Pages (from-to)166-174
Number of pages9
JournalCommunications in Nonlinear Science and Numerical Simulation
Volume28
Issue number1-3
DOIs
StatePublished - 1 Nov 2015

    Research areas

  • Coexistence of attractors, Hidden attractor, Homoclinic orbit, Lorenz-like system, Lyapunov dimension, Lyapunov exponent, Multistability, Self-excited attractor

    Scopus subject areas

  • Numerical Analysis
  • Modelling and Simulation
  • Applied Mathematics

ID: 4005685