Hidden attractor and homoclinic orbit in Lorenz-like system describing convective fluid motion in rotating cavity

• The Lorenz-like system, describing rotating fluid convection is considered.
• The scenario of transition to chaos in this system is described.
• Analytical-numerical localization of hidden attractor in this system is demonstrated.

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.