BIFURCATION OF MULTIPLE LIMIT CYCLES FOR A ROTOR-ACTIVE MAGNETIC BEARINGS SYSTEM WITH TIME-VARYING STIFFNESS

DOI10.1142/S021812740802063XzbMath1147.37349MaRDI QIDQ3536105

S. F. Miao, Yun Tian, Wei Zhang, Jing Li

Publication date: 17 November 2008

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Related Items (10)

Two different control strategies for 16-pole rotor active magnetic bearings system with constant stiffness coefficients ⋮ Computation of Lyapunov values for two planar polynomial differential systems ⋮ Subharmonic Melnikov method of four-dimensional non-autonomous systems and application to a rectangular thin plate ⋮ Bifurcation and number of periodic solutions of some \(2n\)-dimensional systems and its application ⋮ Bifurcation set and number of limit cycles in \(Z_{2}\)-equivariant planar vector fields of degree 5 ⋮ Stability and multi-pulse jumping chaotic vibrations of a rotor-active magnetic bearing system with 16-pole legs under mechanical-electric-electromagnetic excitations ⋮ Investigation of relation between singular points and number of limit cycles for a rotor-ambs system ⋮ Bifurcation and number of subharmonic solutions of a \(2n\)-dimensional non-autonomous system and its application ⋮ Analysis of nonlinear dynamics for abrupt change of interphase structure in liquid-liquid mass transfer ⋮ CHAOS CAUSED BY HYSTERESIS AND SATURATION PHENOMENON IN 2-DOF VIBRATIONS OF THE ROTOR SUPPORTED BY THE MAGNETO-HYDRODYNAMIC BEARING

Cites Work

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• Periodic and chaotic motions of a rotor-active magnetic bearing with quadratic and cubic terms and time-varying stiffness
• DETECTION OF LIMIT CYCLE BIFURCATIONS USING HARMONIC BALANCE METHODS
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• INVESTIGATIONS OF BIFURCATIONS OF LIMIT CYCLES IN Z₂-EQUIVARIANT PLANAR VECTOR FIELDS OF DEGREE 5
• SOME BIFURCATION DIAGRAMS FOR LIMIT CYCLES OF QUADRATIC DIFFERENTIAL SYSTEMS
• Existence of at most 1, 2, or 3 zeros of a Melnikov function and limit cycles

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