ON PERIODIC-ORBITS OF NONLINEAR DYNAMIC-SYSTEMS WITH MANY DEGREES OF FREEDOM

The purpose of this article is to extend our investigation to periodic orbits of nonlinear dynamical systems with many degrees of freedom. The method of generalized averaging and the indicatrix method are developed. An example is studied to illustrate our techniques. The analytical expressions are in good agreement with numerical results computed by the indicatrix method for this example.