Articles | Volume 26, issue 3
https://doi.org/10.5194/npg-26-195-2019
https://doi.org/10.5194/npg-26-195-2019
Research article
 | 
31 Jul 2019
Research article |  | 31 Jul 2019

Fluctuations of finite-time Lyapunov exponents in an intermediate-complexity atmospheric model: a multivariate and large-deviation perspective

Frank Kwasniok

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Cited articles

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, 9–20, 1980. 
Billingsley, P.: Probability and Measure, 3rd edn., Wiley, New York, 1995. 
Eckmann, J. and Ruelle, D.: Ergodic theory of chaos and strange attractors, Rev. Mod. Phys., 57, 617–656, 1985. 
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Johnson, P. L. and Meneveau, C.: Large-deviation joint statistics of the finite-time Lyapunov spectrum in isotropic turbulence, Phys. Fluids, 27, 085110, https://doi.org/10.1063/1.4928699, 2015. 
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Short summary
The stability properties as characterized by finite-time Lyapunov exponents are investigated in an intermediate-complexity atmospheric model. Firstly, the dominant patterns of collective excitation are identified by an empirical orthogonal function analysis of the fluctuation field of all of the finite-time Lyapunov exponents. Secondly, a large-deviation principle is established for all of the Lyapunov exponents and the large-deviation rate functions are estimated.