Search results for "Coexistence of attractors"

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

2015

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.

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 exponentCrisisCommunications in Nonlinear Science and Numerical Simulation
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