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Orbital Stability and Chaos with Incursive Algorithms for the Nonlinear Pendulum

Daniel M. Dubois

p. 3-20

    Résumé

    This paper deals with the Euler and Incursive algorithms of the nonlinear pendulum. The Euler algorithm is unstable. The incursive algorithms show a stable solution as an orbital stabilify for small values of the time step. For larger values of the time step, the incursive algorithms show an orbital stability for small values of the initial conditions and a chaotic sea for larger initial conditions.

    Index

    Keywords

    incursive algorithm, nonlinear pendulum, orbital stability, chaos

    Texte

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    Référence papier

    Daniel M. Dubois, « Orbital Stability and Chaos with Incursive Algorithms for the Nonlinear Pendulum », CASYS, 14 | 2004, 3-20.

    Référence électronique

    Daniel M. Dubois, « Orbital Stability and Chaos with Incursive Algorithms for the Nonlinear Pendulum », CASYS [En ligne], 14 | 2004, mis en ligne le 20 August 2024, consulté le 20 September 2024. URL : http://popups.lib.uliege.be/1373-5411/index.php?id=2424

    Auteur

    Daniel M. Dubois

    asbl CHAOS, Centre for Hyperincursion and Anticipation in Ordered Systems, Institute of Mathematics B37, University of Liège, Grande Traverse, 12, B-4000 Liège 1, Belgium

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