Invariant manifolds of periodic orbits for piecewise linear three-dimensional systems |
| |
| Authors: | Carmona Victoriano; Freire Emilio; Ponce Enrique; Torres Francisco |
| |
| Institution: |
1 Departamento de Matemática Aplicada II, Universidad de Sevilla, Escuela Superior de Ingenieros, Camino de los Descubrimientos s/n, 41092 Seville, Spain
|
| |
| Abstract: | This paper analyses the existence of invariant manifolds ofperiodic orbits for a specific piecewise linear three-dimensionalsystem with two zones, whose linear parts share a pair of imaginaryeigenvalues. This degenerate situation is obtained from thelack of controllability. The analysis proceeds by its reductionto a periodic one-dimensional equation for which some resultsof the Ambrosetti–Prodi type are given. |
| |
| Keywords: | piecewise linear systems invariant manifolds periodic orbits |
| 本文献已被 Oxford 等数据库收录！ |
