Synchronization for fractional FitzHugh–Nagumo equations with fractional Brownian motion

DOI10.1002/mma.8526zbMath1530.34046OpenAlexW4283751022MaRDI QIDQ6141855

Xiang Jun Wang, Xiuqi Huang, Hongfu Yang

Publication date: 20 December 2023

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.8526

zbMATH Keywords

fractional Brownian motionsynchronizationCaputo-type fractional derivativeFitzhugh-Nagumo equations

Mathematics Subject Classification ID

Fractional processes, including fractional Brownian motion (60G22) Neural biology (92C20) Ordinary differential equations and systems with randomness (34F05) Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) (34B30) Qualitative investigation and simulation of ordinary differential equation models (34C60) Fractional ordinary differential equations (34A08) Synchronization of solutions to ordinary differential equations (34D06)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Exponential synchronization for stochastic neural networks driven by fractional Brownian motion
• Finite-time stochastic synchronization of complex networks
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Analytical study of fractional-order multiple chaotic FitzHugh-Nagumo neurons model using multistep generalized differential transform method
• Chaos in the fractional order Chen system and its control
• Regularity of fractional stochastic convolution and its application to fractional stochastic chaotic systems
• Ergodicity of stochastic Rabinovich systems driven by fractional Brownian motion
• Ergodicity and spike rate for stochastic FitzHugh-Nagumo neural model with periodic forcing
• The stochastic FitzHugh-Nagumo neuron model in the excitable regime embeds a leaky integrate-and-fire model
• Stochastic time-optimal control for time-fractional Ginzburg–Landau equation with mixed fractional Brownian motion
• Complete and generalized synchronization in a class of noise perturbed chaotic systems
• State-Space Self-Tuning Control for Stochastic Fractional-Order Chaotic Systems
• Dynamics of the stochastic Lorenz chaotic system with long memory effects
• Existence and regularity of mild solutions to fractional stochastic evolution equations
• Stochastic Calculus for Fractional Brownian Motion and Applications

This page was built for publication: Synchronization for fractional FitzHugh–Nagumo equations with fractional Brownian motion