On a case of resonance for nonlinear systems
Abstract
Resonance is investigated for nearly nonlinear systems admitting a parametric periodic solution. Among the matrix eigenvalues of the linear part of the system there are null ones and purely imaginary ones. It is proved that under certain conditions, a periodic solution does not exist for an initial system whose generating solution is trivial.
- Publication:
-
Prikladnaia Matematika i Mekhanika
- Pub Date:
- November 1974
- Bibcode:
- 1974PriMM..38..986N
- Keywords:
-
- Nonlinear Systems;
- Resonant Vibration;
- Systems Stability;
- Eigenvalues;
- Matrix Theory;
- Periodic Functions;
- Physics (General)