Attractor and spatial chaos for the Brusselator in \(\mathbb R^n\)

DOI10.1016/j.na.2008.08.002zbMath1170.35338OpenAlexW2058928477MaRDI QIDQ1015827

Yong Qian Han, Bo-ling Guo

Publication date: 30 April 2009

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.2008.08.002

zbMATH Keywords

global attractorKolmogorov \(\varepsilon\)-entropyspatial chaosBrusselator

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Attractors (35B41) Nonlinear parabolic equations (35K55) PDEs in connection with fluid mechanics (35Q35) Reaction-diffusion equations (35K57) A priori estimates in context of PDEs (35B45) Initial value problems for second-order parabolic systems (35K45)

Related Items

Random attractors of the stochastic extended Brusselator system with a multiplicative noise ⋮ Global dissipative dynamics of the extended Brusselator system ⋮ Turing instability and Hopf bifurcation of a spatially discretized diffusive Brusselator model with zero-flux boundary conditions ⋮ Dynamic transitions and Turing patterns of the Brusselator model ⋮ Turing instability and dynamic phase transition for the Brusselator model with multiple critical eigenvalues ⋮ Phase transitions for the Brusselator model

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Global solutions of reaction-diffusion systems
• Infinite-dimensional dynamical systems in mechanics and physics
• Bifurcation analysis of nonlinear reaction diffusion equations I. Evolution equations and the steady state solutions
• Global existence for reaction-diffusion systems modelling ignition
• Global Existence and Boundedness in Reaction-Diffusion Systems
• The Ljusternik-Schnirelman theory for indefinite and not necessarily odd nonlinear operators and its applications
• Relatively continuous nonlinear perturbations of analytic semigroups
• Kolmogorov $ \varepsilon$-entropy estimates for the uniform attractors of non-autonomous reaction-diffusion systems
• Attractors of reaction-diffusion systems in unbounded domains and their spatial complexity
• The chemical basis of morphogenesis
• The attractor for a nonlinear reaction-diffusion system in an unbounded domain
• Blowup in Reaction-Diffusion Systems with Dissipation of Mass
• Heteroclinic cycles for reaction diffusion systems by forced symmetry-breaking