Controlling Hopf-Hopf interaction bifurcations of a two-degree-of-freedom self-excited system with dry friction

DOI10.1007/S11071-010-9844-XzbMath1355.70010OpenAlexW1989110405MaRDI QIDQ395170

Huidong Xu, Gui-Lin Wen, Jian-Hua Xie

Publication date: 29 January 2014

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

Full work available at URL: https://doi.org/10.1007/s11071-010-9844-x

zbMATH Keywords

bifurcation controlbifurcation criteriondry friction systemHopf-Hopf interaction bifurcation

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Motion of a rigid body in contact with a solid surface (70E18) Bifurcation control of ordinary differential equations (34H20)

Related Items (3)

Hopf bifurcation, Hopf-hopf bifurcation, and period-doubling bifurcation in a four-species food web ⋮ New bifurcation critical criterion of flip-Neimark-Sacker bifurcations for two-parameterized family of \(n\)-dimensional discrete systems ⋮ High-Order Approximation of Heteroclinic Bifurcations in Truncated 2D-Normal Forms for the Generic Cases of Hopf-Zero and Nonresonant Double Hopf Singularities

Cites Work

• Unnamed Item
• Dynamics and bifurcations of non-smooth mechanical systems
• Hopf-Hopf bifurcation and invariant torus \(T^{2}\) of a vibro-impact system
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Local feedback stabilization and bifurcation control. I. Hopf bifurcation
• The stability and control of discrete processes
• Quasi-genericity of bifurcations to high dimensional invariant tori for maps
• Elements of applied bifurcation theory.
• Stabilization of period doubling bifurcations and implications for control of chaos
• Non-smooth dynamical systems
• Piecewise-smooth dynamical systems. Theory and applications
• Feedback control of Hopf-Hopf interaction bifurcation with development of torus solutions in high-dimensional maps
• Chaos in simple mechanical systems with friction
• On the periodic response of a harmonically excited dry friction oscillator
• Stick-slip vibrations and chaos

This page was built for publication: Controlling Hopf-Hopf interaction bifurcations of a two-degree-of-freedom self-excited system with dry friction