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