On the Number of Periodical Solutions of a Class of Autonomous Systems
Abstract
The autonomous systems (1) are investigated in the condition (4), assuming the existence of inner resonances. Nonlinear parts are polynomials of a certain class. We are interested both in the existence and number of periodical trajectories of the systems (1) with initial conditions (6).
 Publication:

Applications of Mathematics in Engineering and Economics (AMEE '11)
 Pub Date:
 December 2011
 DOI:
 10.1063/1.3664369
 Bibcode:
 2011AIPC.1410..189R
 Keywords:

 simulation;
 matrix algebra;
 integral equations;
 integration;
 02.60.Cb;
 02.10.Yn;
 02.30.Rz;
 02.60.Jh;
 Numerical simulation;
 solution of equations;
 Matrix theory;
 Integral equations;
 Numerical differentiation and integration