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Abstract
We hereby introduce and study an algorithm able to search for initial
conditions corresponding to orbits presenting forced oscillations terms only, namely to completely remove the free or proper oscillating part, hereby named Namur Algorithm For Forced Oscillations, NAFFO for short.
NAFFO is based on the Numerical Analysis of the Fundamental Frequencies algorithm by J. Laskar, for the identification of the free and forced oscillations, the former being iteratively removed from the solution by carefully choosing the initial conditions.
We proved the convergence of the algorithm under suitable assumptions,
satisfied in the Hamiltonian framework whenever the d'Alembert characteristic holds true. We provided two relevant applications: the spinorbit problem and the forced preypredator problem.
Original language  English 

Publication status  Unpublished  2011 
Keywords
 Numerical method Frequency analysis Numerical computation of equilibria
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Dive into the research topics of 'Equilibrium search algorithm of a perturbed quasiintegrable system: NAFFO: Numerical Algorithm For Forced Oscillations'. Together they form a unique fingerprint.Projects
 1 Finished

HEXC: Orbits with high eccentricities for Mars Express or Venus Express space missions
Carletti, T. (CoI), DELSATE, N. (Researcher) & Lemaitre, A. (CoI)
1/10/06 → 30/09/10
Project: PHD
Student theses

Modélisation et analyse de la dynamique orbitale : équilibres, résonances et chaos
Delsate, N. (Author)Carletti, T. (Supervisor), Lemaitre, A. (Supervisor), Sporken, R. (President), Robutel, P. (Jury), ELIPE SANCHEZ, A. (Jury) & BREITER, S. (Jury), 30 May 2011Student thesis: Doc types › Doctor of Sciences