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High-Order Representation of Poincaré Maps

Abstract

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

J. Grote, M. Berz, K. Makino, in: Lecture Notes on Computational Science and Engineering 50 (2005) 59-66, Springer

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