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)