Existence of unstable stationary solutions for nonlinear stochastic differential equations with additive white noise
DOI10.3934/dcdsb.2021133zbMath1496.37055OpenAlexW3159150565WikidataQ115219185 ScholiaQ115219185MaRDI QIDQ2120340
Publication date: 31 March 2022
Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/dcdsb.2021133
Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Stability theory of functional-differential equations (34K20) Stochastic functional-differential equations (34K50) Stationary solutions of functional-differential equations (34K21) Stability theory for random and stochastic dynamical systems (37H30)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Stochastic versions of the LaSalle theorem
- Monotone random systems theory and applications
- Stabilisation of highly nonlinear hybrid stochastic differential delay equations by delay feedback control
- Stabilization of continuous-time hybrid stochastic differential equations by discrete-time feedback control
- A Small-Gain Theorem for Nonlinear Stochastic Systems with Inputs and Outputs I: Additive White Noise
- A Small-Gain Theorem for Random Dynamical Systems with Inputs and Outputs
- Global Attractivity in Delayed Hopfield Neural Network Models
- Symmetric functional differential equations and neural networks with memory
- Global Stability of Feedback Systems with Multiplicative Noise on the Nonnegative Orthant
- Neural networks and physical systems with emergent collective computational abilities.
- Neurons with graded response have collective computational properties like those of two-state neurons.
- Stochastic differential equations. An introduction with applications.
This page was built for publication: Existence of unstable stationary solutions for nonlinear stochastic differential equations with additive white noise
