Investigation of auto-oscillations of a continuous medium, occurring at loss of stability of a stationary mode

DOI10.1016/0021-8928(72)90055-XzbMath0257.34040MaRDI QIDQ2559598

Victor Yudovich

Publication date: 1972

Published in: Journal of Applied Mathematics and Mechanics (Search for Journal in Brave)

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Differential equations in abstract spaces (34G99)

Related Items (12)

Branching equation in the root subspace ⋮ Development of finite-amplitude convection in a vibrating layer of fluid heated from above ⋮ Secondary flows in a plane channel ⋮ Variational principles and stability of the inviscid open flows ⋮ Calculation of auto-oscillations resulting from the loss of stability of a nonisothermal Couette flow ⋮ Bifurcations in a Rayleigh reaction-diffusion system ⋮ The Onset of Auto-Oscillations in Rayleigh System with Diffusion ⋮ Abstract Bifurcation Theorems and Applications to Dynamical Systems with Resonant Eigenvalues ⋮ Determination of the branching equation by its group symmetry—Andronov—Hopf bifurcation ⋮ Wind-induced perturbations of the surface of a viscous fluid ⋮ Long Wavelength Asymptotics of Self-Oscillations of Viscous Incompressible Fluid ⋮ On mathematical description of spiral waves in distributed chemical systems

Cites Work

• Stability of steady flows of perfect incompressible fluid with a free boundary
• The onset of auto-oscillations in a fluid
• Example of the generation of a secondary stationary or periodic flow when there is loss of stability of the laminar flow of a viscous incompressible fluid
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