Bifurcations in a Rayleigh reaction-diffusion system

DOI10.20537/VM170402zbMath1401.35181OpenAlexW2790498448MaRDI QIDQ4961693

Alekseĭ Vladimirovich Kazarnikov, S. V. Revina

Publication date: 25 October 2018

Published in: Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/vuu604

zbMATH Keywords

pattern formationreaction-diffusion systemsLyapunov-Schmidt reduction

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Bifurcations in context of PDEs (35B32)

Related Items (1)

Sufficient Turing instability conditions for the Schnakenberg system

Cites Work

• Unnamed Item
• Turing-Hopf bifurcation analysis of a predator-prey model with herd behavior and cross-diffusion
• Complex dynamics of ecological systems under nonlinear harvesting: Hopf bifurcation and Turing instability
• Onset of self-oscillations upon the loss of stability of spatially periodic two-dimensional viscous fluid flows relative to long-wave perturbations
• Stability of the Kolmogorov flow and its modifications
• Pattern dynamics in a diffusive Rössler model
• Investigation of auto-oscillations of a continuous medium, occurring at loss of stability of a stationary mode
• The Onset of Auto-Oscillations in Rayleigh System with Diffusion
• Model of three dimensional double-diffusive convection with cells of an arbitrary shape
• The chemical basis of morphogenesis
• Recurrence formulas for long wavelength asymptotics in the problem of shear flow stability
• Initiation of self-oscillations at loss of stability of spatially-periodic, three-dimensional viscous flows with respect to long-wave perturbations

This page was built for publication: Bifurcations in a Rayleigh reaction-diffusion system