Global dynamics and robustness of reversible autocatalytic reaction-diffusion systems

DOI10.1016/j.na.2011.12.002zbMath1246.35043OpenAlexW1983045469MaRDI QIDQ765235

Yun-Cheng You

Publication date: 19 March 2012

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2011.12.002

zbMATH Keywords

Selkov equationuniform dissipativityupper semicontinuity of global attractors

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Attractors (35B41) Nonlinear parabolic equations (35K55) Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems (37L30) Reaction-diffusion equations (35K57)

Related Items (14)

Long-time behavior of solution for a reactor model ⋮ Random attractors and robustness for stochastic reversible reaction-diffusion systems ⋮ Statistical solution and Liouville-type theorem for the nonautonomous discrete Selkov model ⋮ Random attractor for stochastic Hindmarsh-Rose equations with multiplicative noise ⋮ ROBUSTNESS OF RANDOM ATTRACTORS FOR A STOCHASTIC REACTION-DIFFUSION SYSTEM ⋮ Random attractor for stochastic Hindmarsh-Rose equations with additive noise ⋮ Random attractor for stochastic reversible Schnackenberg equations ⋮ Random dynamics of stochastic reaction-diffusion systems with additive noise ⋮ Long time dynamics of a three-species food chain model with Allee effect in the top predator ⋮ Global dynamics of nonautonomous Hindmarsh-Rose equations ⋮ Upper semicontinuity of random attractors for nonautonomous stochastic reversible Selkov system with multiplicative noise ⋮ EXPONENTIAL ATTRACTOR FOR HINDMARSH-ROSE EQUATIONS IN NEURODYNAMICS ⋮ Random attractor of stochastic Brusselator system with multiplicative noise ⋮ Pullback uniform dissipativity of stochastic reversible Schnackenberg equations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Reaction-diffusion models for biological pattern formation
• Global solutions of reaction-diffusion systems
• Global attractors of the Gray-Scott equations
• Asymptotical dynamics of Selkov equations
• Regular attractors of semigroups and evolution equations
• Infinite-dimensional dynamical systems in mechanics and physics
• Existence and stability of multiple-spot solutions for the Gray-Scott model in \(\mathbb{R}^2\)
• Pattern formation in the Gray-Scott model
• Global dynamics of the Brusselator equations
• Static spike autosolitons in the Gray-Scott model
• Asymmetric Spotty Patterns for the Gray-Scott Model in R2
• Global Existence and Boundedness in Reaction-Diffusion Systems
• Pattern formation in the one-dimensional Gray - Scott model
• Replicating Spots in Reaction-Diffusion Systems
• The chemical basis of morphogenesis
• On ring-like solutions for the Gray–Scott model: existence, instability and self-replicating rings
• Dynamics of evolutionary equations

This page was built for publication: Global dynamics and robustness of reversible autocatalytic reaction-diffusion systems