Publication: High-Order Representation of Poincaré Maps
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High-Order Representation of Poincaré Maps

- incollection -
 

Area
Dynamical Systems

Author(s)
Johannes Grote , Martin Berz , Kyoko Makino

Published in
Automatic Differentiation: Applications, Theory, and Implementations

Editor(s)
H. M. Bücker, G. Corliss, P. Hovland, U. Naumann, B. Norris

Year
2005

Publisher
Springer

Abstract
A method to obtain polynomial approximations of Poincaré maps directly from a polynomial approximation of the flow or dynamical system for certain types of flows and Poincaré sections is presented. Examples for the method and its computational implementation are given.

Cross-References
Bucker2005ADA

AD Tools
COSY INFINITY

BibTeX
@INCOLLECTION{
         Grote2005HOR,
       author = "Johannes Grote and Martin Berz and Kyoko Makino",
       title = "High-Order Representation of {P}oincar{\'e} Maps",
       editor = "H. M. B{\"u}cker and G. Corliss and P. Hovland and U. Naumann and B.
         Norris",
       booktitle = "Automatic Differentiation: {A}pplications, Theory, and Implementations",
       series = "Lecture Notes in Computational Science and Engineering",
       publisher = "Springer",
       year = "2005",
       abstract = "A method to obtain polynomial approximations of Poincar\'{e} maps
         directly from a polynomial approximation of the flow or dynamical system for certain types of flows
         and Poincar\'{e} sections is presented. Examples for the method and its computational
         implementation are given.",
       crossref = "Bucker2005ADA",
       ad_area = "Dynamical Systems",
       ad_tools = "COSY INFINITY",
       pages = "59--66",
       doi = "10.1007/3-540-28438-9_5"
}


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