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Stability analysis of impulsive stochastic delayed Cohen-Grossberg neural networks driven by Lévy noise

Applied Mathematics and Computation, 2022
Summary: This note investigates the stabilities for impulsive stochastic delayed Cohen-Grossberg neural networks driven by Lévy noise (ISDCGNNs-LN), including the input-to-state stability (ISS), integral input-to-state stability (iISS) and ϕ θ ( t ...
Peilin Yu   +3 more
semanticscholar   +1 more source

Pth Moment Exponential Synchronization for Delayed Multi-Agent Systems With Lévy Noise and Markov Switching

IEEE Transactions on Circuits and Systems - II - Express Briefs
This brief discusses $p$ th moment exponential synchronization of multi-agent systems (MASs). First, a new model is proposed, which includes Lévy noise and Markov switching. Second, based on Lyapunov stability theory, the exponential stability criterion
Meng Shi   +3 more
semanticscholar   +1 more source

Inverse stochastic resonance in a two-dimensional airfoil system with nonlinear pitching stiffness driven by Lévy noise.

Chaos
The aircraft can experience complex environments during the flight. For the random actions, the traditional Gaussian white noise assumption may not be sufficient to depict the realistic stochastic loads on the wing structures.
Jinjie Zhu, Xianbin Liu
semanticscholar   +1 more source

Synchronization of coherence resonance oscillators subject to Lévy noise

Nonlinear dynamics
Using methods of numerical simulation, we analyze the influence of Lévy noise on synchronization of excitable oscillators in the regime of coherence resonance.
lvan A. Korneev, V. V. Semenov
semanticscholar   +1 more source

Almost automorphic solutions for stochastic differential equations driven by Lévy noise

Physica A: Statistical Mechanics and its Applications, 2020
In this paper, we are concerned with almost automorphic solutions for semilinear stochastic differential equations driven by Levy noise on the Hilbert space.
Zhi Li, Liping Xu
semanticscholar   +1 more source

Lévy noise-induced transition and stochastic resonance in a tumor growth model

Applied Mathematical Modelling, 2021
The stationary probability density and stochastic resonance phenomenon of a tumor growth model under the excitation of Levy noise and Gaussian white noise are investigated in this paper.
Yongfeng Guo   +3 more
semanticscholar   +1 more source

Controlling spatiotemporal dynamics of neural networks by Lévy noise.

Chaos
We explore numerically how additive Lévy noise influences the spatiotemporal dynamics of a neural network of nonlocally coupled FitzHugh-Nagumo oscillators.
E. Rybalova, N. Nikishina, G. Strelkova
semanticscholar   +1 more source

Colored Lévy Noise-Induced Stochastic Dynamics in a Tri-Stable Hybrid Energy Harvester

, 2021
The piezoelectric and electromagnetic hybrid vibration energy harvester (HVEH) has proven to be a favorable option to deal with the low power generation issue and overcome the drawbacks of each individual transduction mechanism.
Yanxia Zhang, Yanfei Jin
semanticscholar   +1 more source

Stochastic bifurcation for two-time-scale dynamical system with α-stable Lévy noise

Journal of Statistical Mechanics: Theory and Experiment, 2021
This work focuses on stochastic bifurcation for a slow–fast dynamical system driven by non-Gaussian α-stable Lévy noise. We prove the main result for the stochastic equilibrium states for the original system and the reduced system based on the random ...
S. Yuan, Z. Zeng, Jinqiao Duan
semanticscholar   +1 more source

Stability analysis of stochastic delay differential equations with Lévy noise

Systems & control letters (Print), 2018
This paper is concerned with p th moment exponential stability problem for a class of stochastic delay differential equations driven by Levy processes. Several new stability theorems are obtained by developing a method—proof by contradiction.
Quanxin Zhu
semanticscholar   +1 more source

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