Category
page 1Theorems in dynamical systems
Liouville's theorem
theorem that time rate of change of density of points in phase space along a Hamiltonian flow line is zero
Poincaré recurrence theorem
theorem
Poincaré–Bendixson theorem
theorem
Sharkovskii's theorem
theorem about the periodic points of discrete dynamical systems on an interval
Hartman–Grobman theorem
theorem
Kolmogorov–Arnold–Moser theorem
result in dynamical systems about the persistence of quasiperiodic motions under small perturbations; partly resolves the small-divisor problem that arises in the perturbation theory of classical mechanics
Liouville-Arnold theorem
Theorem of dynamical systems
Liénard equation
type of differential equation in mathematics
Bendixson–Dulac theorem
theorem
Krylov–Bogolyubov theorem
theorem