6533b82dfe1ef96bd1291d1e

RESEARCH PRODUCT

Homoclinic orbit and hidden attractor in the Lorenz-like system describing the fluid convection motion in the rotating cavity

G. A. LeonovN. V. KuznetsovT. N. Mokaev

subject

Nonlinear Sciences::Chaotic DynamicsMathematics::Dynamical SystemsFOS: Physical sciencesChaotic Dynamics (nlin.CD)Nonlinear Sciences - Chaotic Dynamics

description

In this paper a Lorenz-like system, describing the process of rotating fluid convection, is considered. The present work demonstrates numerically that this system, also like the classical Lorenz system, possesses a homoclinic trajectory and a chaotic self-excited attractor. However, for considered system, unlike the classical Lorenz one, along with self-excited attractor a hidden attractor can be localized. Analytical-numerical localization of hidden attractor is presented.

yearjournalcountryeditionlanguage
2014-12-24
https://dx.doi.org/10.48550/arxiv.1412.7667