Variance Continuity for Lorenz Flows
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DOI: 10.1007/s00023-020-00913-5
Abstract: The classical Lorenz flow, and any flow which is close to it in the $$C^2$$ C 2 -topology, satisfies a Central Limit Theorem (CLT). We prove that the variance in the CLT varies continuously. read more here.
Keywords: lorenz; lorenz flows; topology; continuity lorenz ... See more keywords
Scale dependence of fractal dimension in deterministic and stochastic Lorenz-63 systems.
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DOI: 10.1063/5.0106053
Abstract: Many natural systems show emergent phenomena at different scales, leading to scaling regimes with signatures of deterministic chaos at large scales and an apparently random behavior at small scales. These features are usually investigated quantitatively… read more here.
Keywords: dependence fractal; fractal dimension; scale dependence; scale dependent ... See more keywords
Sensitivity of steady states in a degenerately damped stochastic Lorenz system
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DOI: 10.1142/s0219493721500556
Abstract: We study stability of solutions for a randomly driven and degenerately damped version of the Lorenz ’63 model. Specifically, we prove that when damping is absent in one of the temperature components, the system possesses… read more here.
Keywords: system; steady states; sensitivity steady; degenerately damped ... See more keywords
On the numerical integration of the Lorenz-96 model, with scalar additive noise, for benchmark twin experiments
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DOI: 10.5194/gmd-13-1903-2020
Abstract: Abstract. Relatively little attention has been given to the impact of discretization error on twin experiments in the stochastic form of the Lorenz-96 equations when the dynamics are fully resolved but random. We study a… read more here.
Keywords: twin; twin experiments; discretization; integration ... See more keywords