Measurable weighted shadowing for random dynamical systems on Banach spaces
From MaRDI portal
Publication:6124493
DOI10.1016/j.jde.2024.02.052MaRDI QIDQ6124493
Davor Dragičević, Wei Nian Zhang, Linfeng Zhou
Publication date: 27 March 2024
Published in: Journal of Differential Equations (Search for Journal in Brave)
random dynamical systeminfinite dimensiontempered exponential dichotomymeasurable admissibilitymeasurable weighted shadowing
Dichotomy, trichotomy of solutions to ordinary differential equations (34D09) Stability theory for random and stochastic dynamical systems (37H30)
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
- Hyers-Ulam stability and discrete dichotomy for difference periodic systems
- Equivalences between nonuniform exponential dichotomy and admissibility
- Strong and weak \((L^p, L^q)\)-admissibility
- Lipschitz shadowing and structural stability of flows
- Exponential trichotomy of differential systems
- Lyapunov exponents, entropy and periodic orbits for diffeomorphisms
- Geometric theory of semilinear parabolic equations
- \(\omega\)-limit sets for axiom A diffeomorphisms
- Dichotomies in stability theory
- Shadowing for linear systems of differential equations
- Expansivity and shadowing in linear dynamics
- Shadowing in dynamical systems
- Roughness of tempered exponential dichotomies for infinite-dimensional random difference equations
- Admissibility and nonuniform exponential dichotomies
- Approximative dichotomy and persistence of nonuniformly normally hyperbolic invariant manifolds in Banach spaces
- Construction of Markov partitions
- Admissibility and roughness of nonuniform exponential dichotomies for difference equations
- A semi-invertible operator Oseledets theorem
- Lipschitz shadowing implies structural stability
- A Shadowing Lemma with Applications to Semilinear Parabolic Equations
- Lyapunov exponents and invariant manifolds for random dynamical systems in a Banach space
- Pas de “Shadowing lemma” pour les dynamiques partiellement hyperboliques
- Periodic approximation of exceptional Lyapunov exponents for semi-invertible operator cocycles
- Hyers–Ulam stability for equations with differences and differential equations with time-dependent and periodic coefficients
- Shadowing for infinite dimensional dynamics and exponential trichotomies
- Hyers–Ulam stability for hyperbolic random dynamics
- Exponential dichotomies with respect to a sequence of norms and admissibility
- Lectures on Lyapunov Exponents
- Tempered exponential dichotomies: admissibility and stability under perturbations
This page was built for publication: Measurable weighted shadowing for random dynamical systems on Banach spaces