REDUCED PHASE-SPACE ANALYSIS FOR HYSTERETIC OSCILLATORS OF MASING TYPE

Hysteretic oscillators can be represented as dynamic systems provided a high dimension phase space is considered. It is shown that for a fai rly large class of oscillators, based on Masing rules, the dynamics ca n be studied over a two-dimensional manifold. Theoretical motivations and algorithms are presented. Developed procedures are tested on two s imple but important oscillators, one of them has an unstable branch an d is the hysteretic counterpart of the Duffing one-wells two-bumps osc illator. Though the applications mainly have the scope to illustrate t he way the procedures of solution work, some aspects of the dynamic re sponse are investigated in depth. In particular it is shown that the w ell-known sequence: breaking of symmetry-cascade of period doubling, d oes not appear in practice in the two bumps hysteretic oscillator. Sub harmonic oscillations are observed throughout. Copyright (C) 1996 Else vier Science Ltd.