Reduction of a Tri-Modal Lorenz Model of Ferrofluid Convection to a Cubic–Quintic Ginzburg–Landau Equation Using the Center Manifold Theorem
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DOI: 10.1007/s12591-021-00565-9
Abstract: The differential geometric method of the center manifold theorem is applied to the magnetic-Lorenz model of ferrofluid convection in an electrically non-conducting ferrofluid. The analytically intractable tri-modal nonlinear autonomous system (magnetic-Lorenz model) is reduced to… read more here.
Keywords: landau equation; ginzburg landau; lorenz model; equation ... See more keywords
Coexisting attractors and multi-stability within a Lorenz model with periodic heating function
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DOI: 10.1088/1402-4896/accda0
Abstract: In this paper, the classical Lorenz model is under investigation, in which a periodic heating term replaces the constant one. Applying the variable heating term causes time-dependent behaviors in the Lorenz model. The time series… read more here.
Keywords: coexisting attractors; system; periodic heating; model ... See more keywords
Is Weather Chaotic?: Coexistence of Chaos and Order within a Generalized Lorenz Model
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DOI: 10.1175/bams-d-19-0165.1
Abstract: Over 50 years since Lorenz’s 1963 study and a follow-up presentation in 1972, the statement “weather is chaotic” has been well accepted. Such a view turns our attention from regularity associated with Laplace’s view of… read more here.
Keywords: coexistence; chaos; generalized lorenz; lorenz model ... See more keywords