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Orbital Stability and Chaos with Incursive Atgorithms for the Nonlinear Pendulum
p. 3-20
Abstract
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
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References
Bibliographical reference
Daniel M. Dubois, « Orbital Stability and Chaos with Incursive Atgorithms for the Nonlinear Pendulum », CASYS, 14 | 2004, 3-20.
Electronic reference
Daniel M. Dubois, « Orbital Stability and Chaos with Incursive Atgorithms for the Nonlinear Pendulum », CASYS [Online], 14 | 2004, Online since 08 October 2024, connection on 17 July 2025. URL : http://popups.uliege.be/3041-539x/index.php?id=2424
Author
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
