Statements (22)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
dynamical system
|
| gptkbp:application |
gptkb:topology
gptkb:qualitative_theory_of_differential_equations |
| gptkbp:category |
dynamical system
mathematical system |
| gptkbp:field |
gptkb:mathematics
dynamical systems |
| https://www.w3.org/2000/01/rdf-schema#label |
Morse–Smale systems
|
| gptkbp:introducedIn |
1960s
|
| gptkbp:namedAfter |
gptkb:Marston_Morse
gptkb:Stephen_Smale |
| gptkbp:property |
finite number of fixed points
finite number of periodic orbits structurally stable non-wandering set consists only of fixed points and periodic orbits stable and unstable manifolds intersect transversally |
| gptkbp:relatedTo |
gptkb:Smale's_horseshoe
gptkb:Morse_theory structural stability hyperbolic fixed point |
| gptkbp:bfsParent |
gptkb:Stephen_Smale
|
| gptkbp:bfsLayer |
5
|