Journal
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
Volume 28, Issue 1-3, Pages 166-174Publisher
ELSEVIER
DOI: 10.1016/j.cnsns.2015.04.007
Keywords
Hidden attractor; Self-excited attractor; Multistability; Coexistence of attractors; Lorenz-like system; Homoclinic orbit; Lyapunov exponent; Lyapunov dimension
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Funding
- Russian Scientific Foundation [14-21-00041]
- Saint-Petersburg State University
- Russian Science Foundation [14-21-00041] Funding Source: Russian Science Foundation
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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. (C) 2015 Elsevier B.V. All rights reserved.
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