Stochastically perturbed sliding motion in piecewise-smooth systems
From MaRDI portal
Publication:478773
DOI10.3934/dcdsb.2014.19.2889zbMath1308.34022arXiv1204.5792OpenAlexW2092915727MaRDI QIDQ478773
David J. W. Simpson, Rachel Kuske
Publication date: 4 December 2014
Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1204.5792
Bifurcation theory for ordinary differential equations (34C23) Ordinary differential equations and systems with randomness (34F05) Discontinuous ordinary differential equations (34A36)
Related Items (12)
Hidden dynamics in models of discontinuity and switching ⋮ Stochastic differential equations with variable structure driven by multiplicative Gaussian noise and sliding mode dynamic ⋮ Solutions leaving a codimension-\(2\) sliding ⋮ Smoothing tautologies, hidden dynamics, and sigmoid asymptotics for piecewise smooth systems ⋮ Stochastic perturbations of periodic orbits with sliding ⋮ Randomly perturbed switching dynamics of a DC/DC converter ⋮ Non-Filippov dynamics arising from the smoothing of nonsmooth systems, and its robustness to noise ⋮ Hidden geometry of bidirectional grid-constrained stochastic processes ⋮ Micro-Slip as a Loss of Determinacy in Dry-Friction Oscillators ⋮ Threshold Models for Rainfall and Convection: Deterministic versus Stochastic Triggers ⋮ The Ghosts of Departed Quantities in Switches and Transitions ⋮ The Border Collision Normal Form with Stochastic Switching Surface
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Sliding mode control of switched hybrid systems with stochastic perturbation
- Quadratic optimal control of switched linear stochastic systems
- Stochastic responses of Duffing-Van der Pol vibro-impact system under additive and multiplicative random excitations
- Random perturbation of PDEs and fluid dynamic models. École d'Été de Probabilités de Saint-Flour XL -- 2010
- Dynamics and bifurcations of non-smooth mechanical systems
- Trivariate density of Brownian motion, its local and occupation times, with application to stochastic control
- The Fokker-Planck equation. Methods of solution and applications
- Experimental evidence of non-standard bifurcations in non-smooth oscillator dynamics
- Vibro-impact dynamics. Modeling, mapping and applications
- On limiting values of stochastic differential equations with small noise intensity tending to zero
- Theory and applications of stochastic processes. An analytical approach
- Nonsmooth mechanics. Models, dynamics and control.
- Asymptotic methods for the Fokker-Planck equation and the exit problem in applications
- Fast switches in relay feedback systems
- Stability results for switched controller systems
- Switching in systems and control
- Comparison theorem and estimates for transition probability densities of diffusion processes
- Sharp bounds for transition probability densities of a class of diffusions
- Modelling of dynamical systems with motion-dependent discontinuities
- Piecewise linear control systems. A computational approach
- Bifurcations of dynamical systems with sliding: derivation of normal-form mappings
- Robust hybrid predictive control of nonlinear systems
- Strong solutions of stochastic equations with singular time dependent drift
- An introduction to hybrid dynamical systems
- The invariant density of a chaotic dynamical system with small noise
- Stability conditions for discontinuous vector fields
- Smooth and Filippov models of sustainable development: bifurcations and numerical computations
- On the origin and bifurcations of stick-slip oscillations
- Robust stabilizing control laws for a class of second-order switched systems
- Piecewise-smooth dynamical systems. Theory and applications
- Bifurcation analysis of piecewise smooth ecological models
- Dangerous border-collision bifurcations of a piecewise-smooth map
- A mechanism for dangerous border collision bifurcations
- Random vibrations with impacts: a review
- Control of nonlinear and hybrid process systems. Design for uncertainty constraints and time-delays.
- Langevin equation with Coulomb friction
- Brownian motion with dry friction
- Robust integral sliding mode control for uncertain stochastic systems with time-varying delay
- Stability analysis and stabilization control of multi-variable switched stochastic systems
- Stochastic Regular Grazing Bifurcations
- The Border Collision Normal Form with Stochastic Switching Surface
- Stick and non-stick periodic motions in periodically forced oscillators with dry friction
- Precision and reliability of periodically and quasiperiodically driven integrate-and-fire neurons
- Brownian motion with dry friction: Fokker–Planck approach
- Stick–slip motion of solids with dry friction subject to random vibrations and an external field
- Nondeterministic Chaos, and the Two-fold Singularity in Piecewise Smooth Flows
- Random Perturbations of Dynamical Systems
- Large deviation of small perturbation of some unstable systems
- Sliding Bifurcations of Filippov Two Stage Pest Control Models with Economic Thresholds
- Exact power spectra of Brownian motion with solid friction
- On Transforming a Certain Class of Stochastic Processes by Absolutely Continuous Substitution of Measures
- A path integral approach to random motion with nonlinear friction
- Stochastic Dynamics of Impact Oscillators
- Existence, stability and robustness analysis of limit cycles in hybrid anti-lock braking systems
- The Two-Fold Singularity of Discontinuous Vector Fields
- Bursting Oscillations Induced by Small Noise
- Response of a Single-mass Vibroimpact System to White-noise Random Excitation
- ON STRONG SOLUTIONS AND EXPLICIT FORMULAS FOR SOLUTIONS OF STOCHASTIC INTEGRAL EQUATIONS
- Chaotic Mechanics in Systems with Impacts and Friction
- Probability Theory III
- Stochastic Equations with Discontinuous Drift
- Bifurcation and Chaos in Nonsmooth Mechanical Systems
- Coherence Resonance in a Noise-Driven Excitable System
- Circuit theory of power factor correction in switching converters
- A robust stabilizing law for switched linear systems
- Rigid-Body Dynamics with Friction and Impact
- On normal form calculations in impact oscillators
- Robust $H_{\infty}$ Control for Nonlinear Stochastic Systems: A Sliding-Mode Approach
- Discrete-Time Modeling and Stability Analysis of Periodic Orbits With Sliding for Switched Linear Systems
- Invariant polygons in systems with grazing-sliding
- Noise-Induced Phenomena in Slow-Fast Dynamical Systems
- Transition density of one-dimensional diffusion with discontinuous drift
- Limit cycles with chattering in relay feedback systems
- RobustH∞ filtering for switched linear discrete-time systems with polytopic uncertainties
- Multiscale Methods
- Diffusion processes with continuous coefficients, I
- A singular large deviations phenomenon
- Normal form maps for grazing bifurcations in \(n\)-dimensional piecewise-smooth dynamical systems
- Handbook of stochastic methods for physics, chemistry and natural sciences.
- Stochastic differential equations. An introduction with applications.
This page was built for publication: Stochastically perturbed sliding motion in piecewise-smooth systems