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Tellus A: Dynamic Meteorology and Oceanography Volume 62, 2010 - Issue 1
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Original Articles

Spatio-temporal evolution of perturbations in ensembles initialized by bred, Lyapunov and singular vectors

Diego PazóInstituto de Física de Cantabria (IFCA), CSIC—UC, Avenida de Los Castros, Santander, Spain;Correspondence[email protected]
,
Miguel A. RodríguezInstituto de Física de Cantabria (IFCA), CSIC—UC, Avenida de Los Castros, Santander, Spain;
&
Juan M. López,Instituto de Física de Cantabria (IFCA), CSIC—UC, Avenida de Los Castros, Santander, Spain;
Pages 10-23 | Received 12 Jun 2009, Accepted 12 Oct 2009, Published online: 15 Dec 2016

Citations (20)

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Read on this site (2)

S. Herrera, D. Paz ó, J. Ferná Ndez & M. A. RodríGuez. (2011) The role of large-scale spatial patterns in the chaotic amplification of perturbations in a Lorenz’96 model. Tellus A: Dynamic Meteorology and Oceanography 63:5, pages 978-990.
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Gene-Hua Crystalng, Dennis Mclaughlin, Dara Entekhabi & Adel Ahanin. (2011) The role of model dynamics in ensemble Kalman filter performance for chaotic systems. Tellus A: Dynamic Meteorology and Oceanography 63:5, pages 958-977.
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Articles from other publishers (18)

Christoph Martin, Nahal Sharafi & Sarah Hallerberg. (2022) Estimating covariant Lyapunov vectors from data. Chaos: An Interdisciplinary Journal of Nonlinear Science 32:3.
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Maxime Tondeur, Alberto Carrassi, Stephane Vannitsem & Marc Bocquet. (2020) On Temporal Scale Separation in Coupled Data Assimilation with the Ensemble Kalman Filter. Journal of Statistical Physics 179:5-6, pages 1161-1185.
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Brent Giggins & Georg A. Gottwald. (2019) Stochastically perturbed bred vectors in multi‐scale systems. Quarterly Journal of the Royal Meteorological Society 145:719, pages 642-658.
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Lesley De Cruz, Sebastian Schubert, Jonathan Demaeyer, Valerio Lucarini & Stéphane Vannitsem. (2018) Exploring the Lyapunov instability properties of high-dimensional atmospheric and climate models. Nonlinear Processes in Geophysics 25:2, pages 387-412.
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Stephen G. Penny & Takemasa Miyoshi. (2016) A local particle filter for high-dimensional geophysical systems. Nonlinear Processes in Geophysics 23:6, pages 391-405.
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Sebastian Schubert & Valerio Lucarini. (2016) Dynamical analysis of blocking events: spatial and temporal fluctuations of covariant Lyapunov vectors. Quarterly Journal of the Royal Meteorological Society 142:698, pages 2143-2158.
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Stéphane Vannitsem & Valerio Lucarini. (2016) Statistical and dynamical properties of covariant lyapunov vectors in a coupled atmosphere-ocean model—multiscale effects, geometric degeneracy, and error dynamics. Journal of Physics A: Mathematical and Theoretical 49:22, pages 224001.
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Terence J. O’Kane, James S. Risbey, Didier P. Monselesan, Illia Horenko & Christian L. E. Franzke. (2015) On the dynamics of persistent states and their secular trends in the waveguides of the Southern Hemisphere troposphere. Climate Dynamics 46:11-12, pages 3567-3597.
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Sebastian Schubert & Valerio Lucarini. (2015) Covariant Lyapunov vectors of a quasi‐geostrophic baroclinic model: analysis of instabilities and feedbacks. Quarterly Journal of the Royal Meteorological Society 141:693, pages 3040-3055.
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Daniel P. Truant & Gary P. Morriss. (2014) Backward and covariant Lyapunov vectors and exponents for hard-disk systems with a steady heat current. Physical Review E 90:5.
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D. Pazó, J. M. López & M. A. Rodríguez. (2013) The geometric norm improves ensemble forecasting with the breeding method. Quarterly Journal of the Royal Meteorological Society 139:677, pages 2021-2032.
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Adrienne Norwood, Eugenia Kalnay, Kayo Ide, Shu-Chih Yang & Christopher Wolfe. (2013) Lyapunov, singular and bred vectors in a multi-scale system: an empirical exploration of vectors related to instabilities. Journal of Physics A: Mathematical and Theoretical 46:25, pages 254021.
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D Pazó, J M López & M A Rodríguez. (2013) On the angle between the first and second Lyapunov vectors in spatio-temporal chaos. Journal of Physics A: Mathematical and Theoretical 46:25, pages 254014.
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Gary P Morriss & Daniel P Truant. (2013) A review of the hydrodynamic Lyapunov modes of hard disk systems. Journal of Physics A: Mathematical and Theoretical 46:25, pages 254010.
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Pavel V. Kuptsov & Ulrich Parlitz. (2012) Theory and Computation of Covariant Lyapunov Vectors. Journal of Nonlinear Science 22:5, pages 727-762.
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Diego Pazó, Miguel A. Rodríguez & Juan M. López. (2011) Maximizing the Statistical Diversity of an Ensemble of Bred Vectors by Using the Geometric Norm. Journal of the Atmospheric Sciences 68:7, pages 1507-1512.
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Terence J. O’Kane, Peter R. Oke & Paul A. Sandery. (2011) Predicting the East Australian Current. Ocean Modelling 38:3-4, pages 251-266.
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Sarah Hallerberg, Diego Pazó, Juan M. López & Miguel A. Rodríguez. (2010) Logarithmic bred vectors in spatiotemporal chaos: Structure and growth. Physical Review E 81:6.
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