期刊
PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES
卷 369, 期 1944, 页码 2345-2353出版社
ROYAL SOC
DOI: 10.1098/rsta.2011.0067
关键词
periodic orbits; dynamical systems; Lorenz equations; Navier-Stokes
资金
- Engineering and Physical Sciences Research Council [EP/E045111/1] Funding Source: researchfish
- EPSRC [EP/E045111/1] Funding Source: UKRI
We apply a new method for the determination of periodic orbits of general dynamical systems to the Lorenz equations. The accuracy of the expectation values obtained using this approach is shown to be much larger and have better convergence properties than the more traditional approach of time averaging over a generic orbit. Finally, we discuss the relevance of the present work to the computation of unstable periodic orbits of the driven Navier-Stokes equations, which can be simulated using the lattice Boltzmann method.
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