Random switching near bifurcations
From MaRDI portal
Publication:5222187
DOI10.1142/S0219493720500082zbMath1441.60057arXiv1901.00124OpenAlexW2962983826MaRDI QIDQ5222187
Publication date: 1 April 2020
Published in: Stochastics and Dynamics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1901.00124
stationary distributionspiecewise deterministic Markov processesrandom switchingclassical bifurcations
Continuous-time Markov processes on general state spaces (60J25) Bifurcations of singular points in dynamical systems (37G10) Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) (93C30)
Related Items (4)
A general view on double limits in differential equations ⋮ A Method to Deal With the Critical Case in Stochastic Population Dynamics ⋮ Computing Invariant Sets of Random Differential Equations Using Polynomial Chaos ⋮ Randomly switching evolution equations
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Sensitivity to switching rates in stochastically switched ODEs
- Qualitative properties of certain piecewise deterministic Markov processes
- Lotka-Volterra with randomly fluctuating environments or ``how switching between beneficial environments can make survival harder
- Random switching between vector fields having a common zero
- Quantitative ergodicity for some switched dynamical systems
- Hybrid switching diffusions. Properties and applications
- Non-equilibrium thermodynamics of piecewise deterministic Markov processes
- Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
- Differential equations with small parameters and relaxation oscillations. Translation from the Russian by F. M. C. Goodspeed
- A stochastic model related to the telegrapher's equation
- Bifurcation analysis of a stochastically driven limit cycle
- The birth of random evolutions
- Rigorous validation of stochastic transition paths
- Threshold dynamics and ergodicity of an SIRS epidemic model with Markovian switching
- On the stability of planar randomly switched systems
- Geometric Ergodicity for Piecewise Contracting Processes with Applications for Tropical Stochastic Lattice Models
- Deterministic Continuation of Stochastic Metastable Equilibria via Lyapunov Equations and Ellipsoids
- Stochastic switching in biology: from genotype to phenotype
- Averaging and large deviation principles for fully-coupled piecewise deterministic Markov processes and applications to molecular motors
- Invariant densities for dynamical systems with random switching
- The Malliavin Calculus and Related Topics
- Regularity of invariant densities for 1D systems with random switching
- Switching Processes in Queueing Models
- Ergodic properties of a class of non-Markovian processes
- Stability, Instability and Chaos
- Stochastic mixed-mode oscillations in a three-species predator-prey model
- Spectral Theory for Random Poincaré Maps
- Ergodicity for Infinite Dimensional Systems
- Randomly switched vector fields sharing a zero on a common invariant face
- Noise-Induced Phenomena in Slow-Fast Dynamical Systems
- ON DIFFUSION BY DISCONTINUOUS MOVEMENTS, AND ON THE TELEGRAPH EQUATION
- Elements of applied bifurcation theory
- Some simple but challenging Markov processes
This page was built for publication: Random switching near bifurcations
