Canards in Stiction: On Solutions of a Friction Oscillator by Regularization
From MaRDI portal
Publication:4601208
DOI10.1137/17M1120774zbMath1380.34089arXiv1703.08437OpenAlexW2725365103WikidataQ61634672 ScholiaQ61634672MaRDI QIDQ4601208
Morten Brøns, Elena Bossolini, K. Uldall Kristiansen
Publication date: 12 January 2018
Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1703.08437
Discontinuous ordinary differential equations (34A36) Singular perturbations for ordinary differential equations (34E15) Motion of a rigid body in contact with a solid surface (70E18) Canard solutions to ordinary differential equations (34E17)
Related Items
Nonlinear sliding and nonlinear regularization of piecewise smooth system, Blowup analysis of a hysteresis model based upon singular perturbations, The regularized visible fold revisited, Relaxation oscillations in substrate-depletion oscillators close to the nonsmooth limit, A Stiction Oscillator under Slowly Varying Forcing: Uncovering Small Scale Phenomena using Blowup, Two-stroke relaxation oscillators, A new type of relaxation oscillation in a model with rate-and-state friction, Regularization of Isolated Codimension-2 Discontinuity Sets
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Review and comparison of dry friction force models
- Multiple time scale dynamics
- Chasse au canard
- Sub-harmonic resonant solutions of a harmonically excited dry friction oscillator
- Two-parameter sliding bifurcations of periodic solutions in a dry-friction oscillator
- Local analysis near a folded saddle-node singularity
- Regimes of frictional sliding of a spring-block system
- Geometric singular perturbation theory for ordinary differential equations
- Generic bifurcation of sliding vector fields
- Friction models and friction compensation
- Dynamics of a simple damped oscillator undergoing stick-slip vibrations
- Relaxation oscillations in \({\mathbb R}^3\)
- Bifurcation and stability analysis for a non-smooth friction oscillator
- On the chaotic behaviour of a simple dry-friction oscillator
- Piecewise-smooth dynamical systems. Theory and applications
- Sliding vector fields via slow-fast systems
- On the dynamic response of a system with dry friction
- On the periodic response of a harmonically excited dry friction oscillator
- Canards of Folded Saddle-Node Type I
- Excitability in ramped systems: the compost-bomb instability
- Stick-slip vibrations and chaos
- An Analytical Approach to Codimension-2 Sliding Bifurcations in the Dry-Friction Oscillator
- Asymptotic stability with rate conditions for dynamical systems
- Canard cycles and center manifolds
- On the Use of Blowup to Study Regularizations of Singularities of Piecewise Smooth Dynamical Systems in $\mathbb{R}^3$
- Blowup for flat slow manifolds
- Transonic canards and stellar wind
- Discontinuous dynamical systems
- CURVE SQUEAL OF TRAIN WHEELS, PART 1: MATHEMATICAL MODEL FOR ITS GENERATION
- BIFURCATIONS OF RELAXATION OSCILLATIONS NEAR FOLDED SADDLES
- Hysteretic effects of dry friction: modelling and experimental studies
- Relaxation oscillation and canard explosion
- Canards in \(\mathbb{R}^3\)
