6533b862fe1ef96bd12c6c3c

RESEARCH PRODUCT

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

Timur N. MokaevTimur N. MokaevGennady A. LeonovNikolay KuznetsovNikolay Kuznetsov

subject

Mathematics::Dynamical SystemsChaoticLyapunov exponentsymbols.namesakeAttractorSelf-excited attractorHidden attractorHomoclinic orbitCoexistence of attractorsMultistabilityMathematicsHomoclinic orbitRössler attractorNumerical AnalysisApplied Mathematicsta111Mathematical analysisLorenz-like systemMultistabilityLorenz systemNonlinear Sciences::Chaotic DynamicsClassical mechanicsModeling and SimulationLyapunov dimensionsymbolsLyapunov exponentCrisis

description

Abstract 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.

yearjournalcountryeditionlanguage
2015-11-01Communications in Nonlinear Science and Numerical Simulation
https://doi.org/10.1016/j.cnsns.2015.04.007