Open Access
October 2009 Recent Development in Rigorous Computational Methods in Dynamical Systems
Zin Arai, Hiroshi Kokubu, Paweł Pilarczyk
Japan J. Indust. Appl. Math. 26(2-3): 393-417 (October 2009).


We highlight selected results of recent development in the area of rigorous computations which use interval arithmetic to analyse dynamical systems. We describe general ideas and selected details of different ways of approach and we provide specific sample applications to illustrate the effectiveness of these methods. The emphasis is put on a topological approach, which combined with rigorous calculations provides a broad range of new methods that yield mathematically reliable results.


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Zin Arai. Hiroshi Kokubu. Paweł Pilarczyk. "Recent Development in Rigorous Computational Methods in Dynamical Systems." Japan J. Indust. Appl. Math. 26 (2-3) 393 - 417, October 2009.


Published: October 2009
First available in Project Euclid: 1 February 2010

zbMATH: 1184.65117
MathSciNet: MR2589482

Keywords: algorithm , Conley index , dynamical system , hyperbolic dynamics , rigorous computations

Rights: Copyright © 2009 The Japan Society for Industrial and Applied Mathematics

Vol.26 • No. 2-3 • October 2009
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