The PIM-simplex method: An extension of the PIM-triple method to saddles with an arbitrary number of expanding directions

The growing interest in non-attracting chaotic sets of high-dimensional dynamical systems requires the development of numerical techniques for their study. The PIM-triple method [H.E. Nusse, J.A. Yorke, Physica D 36 (1989) 137] is a very good method to obtain trajectories on saddles with one positiv...

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Detalles Bibliográficos
Autores principales: Moresco, P., Ponce Dawson, S.
Formato: JOUR
Materias:
02.70.-c
05.45.+b
Algorithm
Dynamics
Method
Saddle
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_01672789_v126_n1-2_p38_Moresco
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id todo:paper_01672789_v126_n1-2_p38_Moresco
record_format dspace
spelling todo:paper_01672789_v126_n1-2_p38_Moresco2023-10-03T15:04:34Z The PIM-simplex method: An extension of the PIM-triple method to saddles with an arbitrary number of expanding directions Moresco, P. Ponce Dawson, S. 02.70.-c 05.45.+b Algorithm Dynamics Method Saddle The growing interest in non-attracting chaotic sets of high-dimensional dynamical systems requires the development of numerical techniques for their study. The PIM-triple method [H.E. Nusse, J.A. Yorke, Physica D 36 (1989) 137] is a very good method to obtain trajectories on saddles with one positive Lyapunov exponent. In this paper, we combine the same ideas with an algorithm for finding local extrema of multi-variable functions to develop an extension of the method (the PIM-simplex method) that is suitable for the study of sets with an arbitrary number of expanding directions. © 1999 Elsevier Science B.V. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_01672789_v126_n1-2_p38_Moresco
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic 02.70.-c
05.45.+b
Algorithm
Dynamics
Method
Saddle
spellingShingle 02.70.-c
05.45.+b
Algorithm
Dynamics
Method
Saddle
Moresco, P.
Ponce Dawson, S.
The PIM-simplex method: An extension of the PIM-triple method to saddles with an arbitrary number of expanding directions
topic_facet 02.70.-c
05.45.+b
Algorithm
Dynamics
Method
Saddle
description The growing interest in non-attracting chaotic sets of high-dimensional dynamical systems requires the development of numerical techniques for their study. The PIM-triple method [H.E. Nusse, J.A. Yorke, Physica D 36 (1989) 137] is a very good method to obtain trajectories on saddles with one positive Lyapunov exponent. In this paper, we combine the same ideas with an algorithm for finding local extrema of multi-variable functions to develop an extension of the method (the PIM-simplex method) that is suitable for the study of sets with an arbitrary number of expanding directions. © 1999 Elsevier Science B.V.
format JOUR
author Moresco, P.
Ponce Dawson, S.
author_facet Moresco, P.
Ponce Dawson, S.
author_sort Moresco, P.
title The PIM-simplex method: An extension of the PIM-triple method to saddles with an arbitrary number of expanding directions
title_short The PIM-simplex method: An extension of the PIM-triple method to saddles with an arbitrary number of expanding directions
title_full The PIM-simplex method: An extension of the PIM-triple method to saddles with an arbitrary number of expanding directions
title_fullStr The PIM-simplex method: An extension of the PIM-triple method to saddles with an arbitrary number of expanding directions
title_full_unstemmed The PIM-simplex method: An extension of the PIM-triple method to saddles with an arbitrary number of expanding directions
title_sort pim-simplex method: an extension of the pim-triple method to saddles with an arbitrary number of expanding directions
url http://hdl.handle.net/20.500.12110/paper_01672789_v126_n1-2_p38_Moresco
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