Global bifurcations for a rotor-active magnetic bearings system

Abstract

In this paper, the global bifurcation for a rotor-active magnetic bearings (AMB) system with the timevarying stiffness is investigated through discussing the zeros of the Melnikov function. Some critical conditions of chaos occurring are given. According to the results, the case that the order of Melnikov function is more than or equal to 2 is more general than other case (no zero or simple zero). In other word, homoclinic tangency may occur in several resonance relations.Keywords -Chaos, homoclinic bifurcation, rotor-active magnetic bearing 978-1-4244-4870-8/09/$26.00 ©2009 IEEE

Homoclinic Tangencies for a Rotor-Active Magnetic Bearings System

“…Therefore, The dynamics of homoclinic tangencies is then worth investigating [6,7] Moreover, homoclinic tangency induces homoclinic bifurcation that has become an important topic in the study of global bifurcation, and beyond hyperbolic attractors [8]. In this paper, we are interested in the dynamics of homoclinic tangencies of a rotor-AMB system with time-varying stiffness and extend the results in [9]. The method of singularity theory is used to analyze the homoclinic bifurcation.…”