The Onset of Auto-Oscillations in Rayleigh System with Diffusion

DOI10.14529/MMP160202zbMath1353.35293OpenAlexW2462815481MaRDI QIDQ2833558

S. V. Revina, Alekseĭ Vladimirovich Kazarnikov

Publication date: 18 November 2016

Published in: Bulletin of the South Ural State University. Series "Mathematical Modelling, Programming and Computer Software" (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.14529/mmp160202

zbMATH Keywords

reaction-diffusion systemsLyapunov-Schmidt reductionRayleigh equationself-oscillations

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Asymptotic expansions of solutions to PDEs (35C20) Bifurcations in context of PDEs (35B32)

Related Items (3)

Sufficient Turing instability conditions for the Schnakenberg system ⋮ Statistical approach for parameter identification by Turing patterns ⋮ Bifurcations in a Rayleigh reaction-diffusion system

Cites Work

• Onset of self-oscillations upon the loss of stability of spatially periodic two-dimensional viscous fluid flows relative to long-wave perturbations
• Investigation of auto-oscillations of a continuous medium, occurring at loss of stability of a stationary mode
• Finite-dimensional models of diffusion chaos
• 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

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