Micro-Slip as a Loss of Determinacy in Dry-Friction Oscillators
DOI10.1142/S0218127419300155zbMath1426.34030OpenAlexW2955246733WikidataQ127568082 ScholiaQ127568082MaRDI QIDQ5225784
Publication date: 23 July 2019
Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0218127419300155
Bifurcation theory for ordinary differential equations (34C23) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Problems involving a system of particles with friction (70F40) Discontinuous ordinary differential equations (34A36) Complex behavior and chaotic systems of ordinary differential equations (34C28) Singular perturbations for ordinary differential equations (34E15)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the mathematical basis of solid friction
- On the microphysical foundations of rate-and-state friction
- Strong realcompactness and strong Dieudonné completeness in topological groups
- Multiple time scale dynamics
- Stochastically perturbed sliding motion in piecewise-smooth systems
- Two-parameter sliding bifurcations of periodic solutions in a dry-friction oscillator
- Geometric singular perturbation theory for ordinary differential equations
- Sliding modes in control and optimization. Transl. from the Russian
- Friction models and friction compensation
- Dynamics of a simple damped oscillator undergoing stick-slip vibrations
- Bifurcation and stability analysis for a non-smooth friction oscillator
- Non-Filippov dynamics arising from the smoothing of nonsmooth systems, and its robustness to noise
- Bifurcation analysis of an impact oscillator with a one-sided elastic constraint near grazing
- Estimation of chaotic and regular (stick-slip and slip-slip) oscillations exhibited by coupled oscillators with dry friction
- Regularization of hidden dynamics in piecewise smooth flows
- Stick-slip chaos detection in coupled oscillators with friction
- Hidden dynamics in models of discontinuity and switching
- On the dynamic response of a system with dry friction
- On the periodic response of a harmonically excited dry friction oscillator
- The positive occupation time of Brownian motion with two-valued drift and asymptotic dynamics of sliding motion with noise
- Stick–slip motion of solids with dry friction subject to random vibrations and an external field
- The Ghosts of Departed Quantities in Switches and Transitions
- Hidden Degeneracies in Piecewise Smooth Dynamical Systems
- BIFURCATIONS AND CHAOS IN A FOUR-DIMENSIONAL MECHANICAL SYSTEM WITH DRY FRICTION
- Marine ice-sheet dynamics. Part 1. The case of rapid sliding
- Stick-slip vibrations and chaos
- Dynamics with Friction: Modeling, Analysis and Experiment
- Chaos in a Forced Dry-Friction Oscillator: Experiments and Numerical Modelling
- The Painlevé paradox in contact mechanics
- Existence and Bifurcation of Canards in $\mathbbR^3$ in the Case of a Folded Node
- SLIDING BIFURCATIONS: A NOVEL MECHANISM FOR THE SUDDEN ONSET OF CHAOS IN DRY FRICTION OSCILLATORS
- Exit from sliding in piecewise-smooth flows: Deterministic vs. determinacy-breaking
- Hysteretic effects of dry friction: modelling and experimental studies