Investigation of relation between singular points and number of limit cycles for a rotor-ambs system

DOI10.1016/j.chaos.2007.06.044zbMath1197.93119OpenAlexW2030450625MaRDI QIDQ712062

Yun Tian, Wei Zhang, Jing Li

Publication date: 28 October 2010

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2007.06.044

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Application models in control theory (93C95) Ordinary differential equations and connections with real algebraic geometry (fewnomials, desingularization, zeros of abelian integrals, etc.) (34C08)

Related Items (4)

Two different control strategies for 16-pole rotor active magnetic bearings system with constant stiffness coefficients ⋮ Dynamics of an AMB-rotor with time varying stiffness and mixed excitations ⋮ 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

Cites Work

• Unnamed Item
• Multi-pulse chaotic motions of a rotor-active magnetic bearing system with time-varying stiffness
• The number of limit cycles of cubic Hamiltonian system with perturbation
• Existence of 121 limit cycles in a perturbed planar polynomial Hamiltonian vector field of degree 11
• Loss of stability of self-oscillations close to resonance and versal deformations of equivariant vector fields
• Twelve limit cycles in a cubic order planar system with \(Z_2\) symmetry
• Local bifurcations and codimension-3 degenerate bifurcations of a quintic nonlinear beam under parametric excitation
• Analysis on bifurcations of multiple limit cycles for a parametrically and externally excited mechanical system
• Bifurcations of limit cycles in a cubic system with cubic perturbations
• Periodic and chaotic motions of a rotor-active magnetic bearing with quadratic and cubic terms and time-varying stiffness
• BIFURCATION OF MULTIPLE LIMIT CYCLES FOR A ROTOR-ACTIVE MAGNETIC BEARINGS SYSTEM WITH TIME-VARYING STIFFNESS
• INVESTIGATIONS OF BIFURCATIONS OF LIMIT CYCLES IN Z₂-EQUIVARIANT PLANAR VECTOR FIELDS OF DEGREE 5

This page was built for publication: Investigation of relation between singular points and number of limit cycles for a rotor-ambs system