Splitting of Steady Multiple Eigenvalues May Lead to Periodic Cascading Bifurcation

DOI10.1137/0143041zbMath0513.76032OpenAlexW2026633595MaRDI QIDQ3659372

Edward L. Reiss, Thomas Erneux

Publication date: 1983

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0143041

zbMATH Keywords

Hopf bifurcationmorphogenesisrotating coaxial cylinderssequence of bifurcationsbuckling of elastic platescascading bifurcationchemical and biochemical instabilitieseffects of imperfectionsprimary bifurcation pointsquaternary bifurcation pointsecondary and tertiary bifurcation to steady statessupercriticallyTaylor's flowtransition from laminar conduction to turbulent convection

Mathematics Subject Classification ID

Absolute and convective instability and stability in hydrodynamic stability (76E15) Bifurcation and buckling (74G60) Shear flows and turbulence (76F10) Free convection (76R10)

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