Articles | Volume 26, issue 2
Nonlin. Processes Geophys., 26, 73–89, 2019
https://doi.org/10.5194/npg-26-73-2019
Nonlin. Processes Geophys., 26, 73–89, 2019
https://doi.org/10.5194/npg-26-73-2019

Research article 07 May 2019

Research article | 07 May 2019

Lyapunov analysis of multiscale dynamics: the slow bundle of the two-scale Lorenz 96 model

Mallory Carlu et al.

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Cited articles

Abramov, R. V. and Majda, A.: New approximations and tests of linear fluctuation-response for chaotic nonlinear forced-dissipative dynamical systems, J. Nonlinear Sci., 18, 303–341, https://doi.org/10.1007/s00332-007-9011-9, 2007. a
Aurell, E., Boffetta, G., Crisanti, A., Paladin, G., and Vulpiani, A.: Predictability in the large: an extension of the concept of Lyapunov exponent, J. Phys. A, 30 1, https://doi.org/10.1088/0305-4470/30/1/003, 1997. a, b
Benettin, G., Galgani, L., Giorgilli, A., and Strelcyn, J. M.: Lyapunov characteristic exponents for smooth dynamical systems and for Hamiltonian systems; a method for computing all of them. Part 1: Theory, Meccanica, 15, https://doi.org/10.1007/BF02128236, 1980. a
Berner, J., et al.: Stochastic parametrization: Toward a new view of weather and climate models, B. Am. Meteorol. Soc., 98, 565, https://doi.org/10.1175/BAMS-D-15-00268.1, 2017. a
Blender, R., Lucarini, V., and Wouters, J.: Avalanches, breathers, and flow reversal in a continuous Lorenz-96 model, Phys. Rev. E, 88, 013201, https://doi.org/10.1103/PhysRevE.88.013201, 2013. a
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Short summary
We explore the nature of instabilities in a well-known meteorological toy model, the Lorenz 96, to unravel key mechanisms of interaction between scales of different resolutions and time scales. To do so, we use a mathematical machinery known as Lyapunov analysis, allowing us to capture the degrees of chaoticity associated with fundamental directions of instability. We find a non-trivial group of such directions projecting significantly on slow variables, associated with long term dynamics.