Two-parameter bifurcation analysis of limit cycles of a simplified railway wheelset model

DOI10.1007/s11071-018-4333-8zbMath1398.34053OpenAlexW2803661887MaRDI QIDQ1800925

Lifang Cheng, Xiukun Wei, Hongjun Cao

Publication date: 26 October 2018

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-018-4333-8

zbMATH Keywords

Hopf bifurcationNeimark-Sacker bifurcationperiod-doubling bifurcationhunting motionwheelset

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23) Bifurcations of singular points in dynamical systems (37G10)

Related Items

Persistent instability in a nonhomogeneous delay differential equation system of the Valsalva maneuver ⋮ Bifurcation, geometric constraint, chaos, and its control in a railway wheelset system ⋮ Research on hunting stability and bifurcation characteristics of nonlinear stochastic wheelset system ⋮ A type of bi-stable spiral wave in a single-period oscillatory medium ⋮ Nonlinear Analysis of Hunting Motion by Focusing on Non-selfadjointness

Uses Software

• MATCONT

Cites Work

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• Bifurcation analysis of high-speed railway wheel-set
• Hopf bifurcation and hunting behavior in a rail wheelset with flange contact
• Effect of lateral linear stiffness on nonlinear characteristics of hunting motion of a railway wheelset
• Influence of yaw stiffness on the nonlinear dynamics of railway wheelset
• MATCONT
• Elements of applied bifurcation theory