Bifurcations of stationary measures of random diffeomorphisms
From MaRDI portal
Publication:5424922
DOI10.1017/S0143385707000077zbMath1135.37021arXivmath/0512541OpenAlexW2105817384MaRDI QIDQ5424922
Hicham Zmarrou, Ale Jan Homburg
Publication date: 7 November 2007
Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0512541
Related Items (21)
Near invariance and local transience for random diffeomorphisms ⋮ Intensity---A Metric Approach to Quantifying Attractor Robustness in ODEs ⋮ Optimal linear response for Markov Hilbert-Schmidt integral operators and stochastic dynamical systems ⋮ Hopf bifurcation with additive noise ⋮ Representation of Markov chains by random maps: existence and regularity conditions ⋮ Noise-induced dispersion and breakup of clusters in cell cycle dynamics ⋮ Nonautonomous saddle-node bifurcations: random and deterministic forcing ⋮ Climate dynamics and fluid mechanics: Natural variability and related uncertainties ⋮ Random interval diffeomorphisms ⋮ Metric invariance entropy and conditionally invariant measures ⋮ Minimal invariant closed sets of set-valued semiflows ⋮ Early-warning signals for bifurcations in random dynamical systems with bounded noise ⋮ A bifurcation theory for a class of discrete time Markovian stochastic systems ⋮ Stability of iterated function systems on the circle ⋮ Quadratic response of random and deterministic dynamical systems ⋮ Effects of calcium-channel noise on dynamics of excitation-contraction coupling in paced cardiac cells ⋮ Ruelle-Pollicott resonances of stochastic systems in reduced state space. Part II: Stochastic Hopf bifurcation ⋮ Arnold maps with noise: differentiability and non-monotonicity of the rotation number ⋮ Symmetry of attractors and the Perron-Frobenius operator ⋮ A family of rotation numbers for discrete random dynamics on the circle ⋮ Topological bifurcations of minimal invariant sets for set-valued dynamical systems
Cites Work
- An extension of the theory of Fredholm determinants
- Hard bifurcations in dynamical systems with bounded random perturbations
- Conditionally invariant measures and exponential decay
- An extension of Zeeman's notion of structural stability to non-invertible maps
- On the spectra of randomly perturbed expanding maps
- Attractors and time averages for random maps
- On the existence of a quasistationary measure for a Markov chain
- Control sets and their boundaries under parameter variation
- On Representations of Markov Chains by Random Smooth Maps
- Expanding Maps on Sets Which are Almost Invariant: Decay and Chaos
- Stability of dynamical systems
- Intermittency in the presence of noise
- Conditionally invariant measures for Anosov maps with small holes
- On the Approximation of Complicated Dynamical Behavior
- ON MARKOV CHAINS AND THE SPECTRA OF THE CORRESPONDING FROBENIUS–PERRON OPERATORS
- Escape rates and conditionally invariant measures
This page was built for publication: Bifurcations of stationary measures of random diffeomorphisms
