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(a) supercritique ; (b) sous-critique ,
Tout d'abord, l'instabilité aérodynamique liée à la formation d'anneaux tourbillonnaires à la périphérie du rotor dans certains cas de vol est analysée et des bifurcations de valeur propre réelle sont diagnostiquées Un nouveau critère pour délimiter la région d'instabilité est donné par le calcul du lieu des points de ces bifurcations. Ensuite, le cas du roulis hollandais est examiné montrant que la bifurcation de Hopf (supercritique) sous-jacente s'avère donner naissance à des cycles limites stables. Enfin, l'étude porte son attention sur le couplage aéronef-pilote, Des oscillations induites par le pilote sont constatées pour la chaîne de commande choisie . Des bifurcations noeuds-selles de cycles limites et des sauts d'orbites périodiques correspondent aux changements brusques de qualités de vol observés ,