AN ANALYSIS OF OSCILLATION MODES OF 4 COMPLETELY COUPLED OSCILLATORS VIA INTEGRAL MANIFOLDS AND ITS EXPERIMENTAL CONFIRMATION

It is well known that various oscillation modes exist in a coupled osc illator system. In this paper, a completely coupled system (symmetric system) of four similar van der Pol oscillators with third-order nonli nearity is considered. By means of the integral manifold theory, the o scillation mode is theoretically derived for which the invariant manif olds with their solution trajectories constrained (integral manifolds) are asymptotically stable. In order to find out how the theoretical r esults for the symmetric system vary when the symmetry is destroyed, a computer simulation and an experiment are carried out for the system with perturbed coupling coefficients or element values. The relationsh ip of both is studied for each oscillation mode that is theoretically stable. (C) 1998 Scripts Technica, Electron Comm Jpn Pt 3, 81(9): 20-2 8, 1998.