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2012 High-Precision Continuation of Periodic Orbits
Ángeles Dena, Marcos Rodríguez, Sergio Serrano, Roberto Barrio
Abstr. Appl. Anal. 2012(SI12): 1-12 (2012). DOI: 10.1155/2012/716024


Obtaining periodic orbits of dynamical systems is the main source of information about how the orbits, in general, are organized. In this paper, we extend classical continuation algorithms in order to be able to obtain families of periodic orbits with high-precision. These periodic orbits can be corrected to get them with arbitrary precision. We illustrate the method with two important classical Hamiltonian problems.


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Ángeles Dena. Marcos Rodríguez. Sergio Serrano. Roberto Barrio. "High-Precision Continuation of Periodic Orbits." Abstr. Appl. Anal. 2012 (SI12) 1 - 12, 2012.


Published: 2012
First available in Project Euclid: 1 April 2013

zbMATH: 1248.65130
MathSciNet: MR2922946
Digital Object Identifier: 10.1155/2012/716024

Rights: Copyright © 2012 Hindawi

Vol.2012 • No. SI12 • 2012
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