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Abstract:

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.

Registro:

Documento: Artículo
Título:The PIM-simplex method: An extension of the PIM-triple method to saddles with an arbitrary number of expanding directions
Autor:Moresco, P.; Ponce Dawson, S.
Filiación:Departamento de Física, Fac. Cie. Exact. Y Nat., UBA, Cd. U., 1428 Buenos Aires, Argentina
Palabras clave:02.70.-c; 05.45.+b; Algorithm; Dynamics; Method; Saddle
Año:1999
Volumen:126
Número:1-2
Página de inicio:38
Página de fin:48
DOI: http://dx.doi.org/10.1016/S0167-2789(98)00234-6
Título revista:Physica D: Nonlinear Phenomena
Título revista abreviado:Phys D Nonlinear Phenom
ISSN:01672789
CODEN:PDNPD
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_01672789_v126_n1-2_p38_Moresco

Referencias:

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Citas:

---------- APA ----------
Moresco, P. & Ponce Dawson, S. (1999) . The PIM-simplex method: An extension of the PIM-triple method to saddles with an arbitrary number of expanding directions. Physica D: Nonlinear Phenomena, 126(1-2), 38-48.
http://dx.doi.org/10.1016/S0167-2789(98)00234-6
---------- CHICAGO ----------
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" . Physica D: Nonlinear Phenomena 126, no. 1-2 (1999) : 38-48.
http://dx.doi.org/10.1016/S0167-2789(98)00234-6
---------- MLA ----------
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" . Physica D: Nonlinear Phenomena, vol. 126, no. 1-2, 1999, pp. 38-48.
http://dx.doi.org/10.1016/S0167-2789(98)00234-6
---------- VANCOUVER ----------
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. Phys D Nonlinear Phenom. 1999;126(1-2):38-48.
http://dx.doi.org/10.1016/S0167-2789(98)00234-6