ON PERIODIC SOLUTIONS IN SYSTEMS OF HIGH ORDER DIFFERENTIAL EQUATIONS
Department of Mathematics
Oklahoma State University
Stillwater, Oklahoma
Department of Mathematics
Iowa State University
Ames, Iowa
Department of Electrical Engineering
Iowa State University
Ames, Iowa
DOI: 10.1201/9781003420026-24
1. INTRODUCTION AND NOTATION
In this paper we establish conditions which ensure the existence or the nonexistence of periodic motions in complex autonomous dynamical systems. We consider those types of systems which can be viewed as an interconnection of several simpler subsytems. Our results use the describing function method (a Galerkin or harmonic balance procedure, see [3]) and answer the following question: ...
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