Monotonicity of the period map of a non-Hamiltonian center (Q1344902)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Monotonicity of the period map of a non-Hamiltonian center |
scientific article; zbMATH DE number 724156
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Monotonicity of the period map of a non-Hamiltonian center |
scientific article; zbMATH DE number 724156 |
Statements
Monotonicity of the period map of a non-Hamiltonian center (English)
0 references
22 February 1995
0 references
The authors prove that the periodic map of \(\ddot x- ax\dot x+ x^ 3= 0\) with \(a^ 2< 8\), is monotonically decreasing. As an application, it is obtained that the respective Dirichlet boundary value problem for two points has either a unique solution or no solution at all while the Neumann boundary value problem has a unique solution.
0 references
non-Hamiltonian center
0 references
planar dynamical systems
0 references
periodic map
0 references
Dirichlet boundary value problem
0 references
Neumann boundary value problem
0 references
