The adjoining cell mapping and its recursive unraveling, Part II: Application to selected problems

Guttalu, Ramesh S. and Zufiria Zatarain, Pedro Jose (1993). The adjoining cell mapping and its recursive unraveling, Part II: Application to selected problems. "Nonlinear Dynamics", v. 4 ; pp. 309-336. ISSN 0924-090X.

Description

Title: The adjoining cell mapping and its recursive unraveling, Part II: Application to selected problems
Author/s:
  • Guttalu, Ramesh S.
  • Zufiria Zatarain, Pedro Jose
Item Type: Article
Título de Revista/Publicación: Nonlinear Dynamics
Date: 1993
ISSN: 0924-090X
Volume: 4
Subjects:
Freetext Keywords: Nonlinear autonomous dynamical systems, simple cell mapping, limit cycles, adjoining cell mapping, adaptive integration, recursive algorithms
Faculty: E.T.S.I. Telecomunicación (UPM)
Department: Matemática Aplicada a las Tecnologías de la Información y las Comunicaciones
Creative Commons Licenses: Recognition - No derivative works - Non commercial

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Abstract

Several applications of the adjoining cell mapping technique are provided here by employing the adaptive mapping unraveling algorithm to analyze smooth and pathological autonomous dynamical systems. The performance of an implementation of recursive unraveling algorithm is also illustrated regarding its low memory requirements for computa- tional purposes when compared with the simple cell mapping method. The applications considered here illustrate the effectiveness of the adjoining cell mapping technique in its ability to determine limit cycles and to unravel nonstandard dynamics. The advantages of this new technique of global analysis over the simple cell mapping method are discussed.

More information

Item ID: 53501
DC Identifier: http://oa.upm.es/53501/
OAI Identifier: oai:oa.upm.es:53501
Official URL: https://link.springer.com/article/10.1007/BF00120669
Deposited by: Memoria Investigacion
Deposited on: 25 Mar 2019 17:02
Last Modified: 25 Mar 2019 17:02
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