Numerical analysis of codimension-one, -two and -three bifurcations in a periodically-forced impact oscillator with two discontinuity surfaces
From MaRDI portal
Publication:2229765
DOI10.1016/J.MATCOM.2012.08.010OpenAlexW2017785162MaRDI QIDQ2229765
Joanna F. Mason, Petri T. Piiroinen, N. Humphries
Publication date: 18 February 2021
Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.matcom.2012.08.010
Related Items (6)
Theoretical analysis of co-dimension-two grazing bifurcations in \(n\)-degree-of-freedom impact oscillator with symmetrical constrains ⋮ Use of degeneration to stabilize near grazing periodic motion in impact oscillators ⋮ Codimension-two grazing bifurcations in three-degree-of-freedom impact oscillator with symmetrical constraints ⋮ Degenerate grazing bifurcations in a three-degree-of-freedom impact oscillator ⋮ A Calculation Method on Bifurcation and State Parameter Sensitivity Analysis of Piecewise Mechanical Systems ⋮ Suppression of grazing-induced instability in single degree-of-freedom impact oscillators
Cites Work
- Cell-to-cell mapping. A method of global analysis for nonlinear systems
- Piecewise-smooth dynamical systems. Theory and applications
- Dynamics of a gear system with faults in meshing stiffness
- Coexisting solutions and bifurcations in mechanical oscillators with backlash
- Dynamics of an impact oscillator near a degenerate graze
- Bifurcations in Nonsmooth Dynamical Systems
- Chattering and related behaviour in impact oscillators
- Discontinuity geometry for an impact oscillator
- The Effect of Codimension-Two Bifurcations on the Global Dynamics of a Gear Model
- Discontinuity Induced Bifurcations of Nonhyperbolic Cycles in Nonsmooth Systems
This page was built for publication: Numerical analysis of codimension-one, -two and -three bifurcations in a periodically-forced impact oscillator with two discontinuity surfaces