The paper is devoted to the investigation of the slow integral manifolds of variable stability. The existence of non periodic canards, canard cascades and black swans is stated. The theoretical developments are illustrated by several examples.
French
L'article est consacré à l'étude de variétés lentes intégrales de stabilité variable. L'existence de canards non périodiques, de cascades de canard et des cygnes noirs est établie. Les développements théoriques sont illustrés par plusieurs exemples.
Keywords
English
[INFO]Computer Science [cs]
[MATH]Mathematics [math]
Invariant manifold
stability
canard cascade
black swan
French
Variété invariante
stabilité
canard
cascade de canards
cygne noir
Mathematics Subject Classification 2020
34D35 - Stability of manifolds of solutions to ordinary differential equations
34E17 - Canard solutions to ordinary differential equations
34E18 - Methods of nonstandard analysis for ordinary differential equations
37D10 - Invariant manifold theory for dynamical systems
