the Creative Commons Attribution 3.0 License.
the Creative Commons Attribution 3.0 License.
Self-breeding: a new method to estimate local Lyapunov structures
J. D. Keller
Abstract. We present a new approach to estimate local Lyapunov vectors. The so called self-breeding method is based on the breeding of growing modes technique from medium range weather forecasting and consists of a continuous forecasting and rescaling cycle. Using the Lorenz96 model we test and characterize the behavior of the algorithm regarding error growth, spatial perturbation structure estimates and orthogonalization. The results indicate that the method can be used to generate error growing modes optimized for a certain rescaling interval, thus enabling the user to target specific scales of error growth. When an additional orthogonalization procedure is applied, the method is able to produce structures representing the error growth subspace spanned by the largest Lyapunov vectors.
This preprint has been withdrawn.
-
Withdrawal notice
This preprint has been withdrawn.
-
Preprint
(1919 KB)
J. D. Keller and A. Hense
Interactive discussion


-
RC C544: 'Sorry to say, it lacks of mathematical rigor to be understandable and useful', Diego Pazó, 07 Oct 2014
-
AC C622: 'Response to the reviewer with a motivation for the method and mathematical clarification', Jan Keller, 21 Nov 2014
-
AC C622: 'Response to the reviewer with a motivation for the method and mathematical clarification', Jan Keller, 21 Nov 2014
-
RC C553: 'Paper is mathematically sloppy, if not plain incorrect I am afraid', Anonymous Referee #2, 08 Oct 2014
-
AC C627: 'Response to the reviewer with a motivation for the method and mathematical clarification', Jan Keller, 21 Nov 2014
-
AC C627: 'Response to the reviewer with a motivation for the method and mathematical clarification', Jan Keller, 21 Nov 2014
-
RC C719: 'Review attached as pdf.', Anonymous Referee #3, 15 Dec 2014
Interactive discussion


-
RC C544: 'Sorry to say, it lacks of mathematical rigor to be understandable and useful', Diego Pazó, 07 Oct 2014
-
AC C622: 'Response to the reviewer with a motivation for the method and mathematical clarification', Jan Keller, 21 Nov 2014
-
AC C622: 'Response to the reviewer with a motivation for the method and mathematical clarification', Jan Keller, 21 Nov 2014
-
RC C553: 'Paper is mathematically sloppy, if not plain incorrect I am afraid', Anonymous Referee #2, 08 Oct 2014
-
AC C627: 'Response to the reviewer with a motivation for the method and mathematical clarification', Jan Keller, 21 Nov 2014
-
AC C627: 'Response to the reviewer with a motivation for the method and mathematical clarification', Jan Keller, 21 Nov 2014
-
RC C719: 'Review attached as pdf.', Anonymous Referee #3, 15 Dec 2014
J. D. Keller and A. Hense
J. D. Keller and A. Hense
Viewed
HTML | XML | Total | BibTeX | EndNote | |
---|---|---|---|---|---|
791 | 325 | 84 | 1,200 | 62 | 69 |
- HTML: 791
- PDF: 325
- XML: 84
- Total: 1,200
- BibTeX: 62
- EndNote: 69