Rotating waves in parabolic functional differential equations with rotation of spatial argument and time delay

DOI10.1134/S0965542513110109zbMath1313.35356MaRDI QIDQ2940400

T. E. Romanenko, A. V. Razgulin

Publication date: 26 January 2015

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: http://www.maik.ru/cgi-perl/search.pl?type=abstract&name=commat&number=11&year=13&page=1626

zbMATH Keywords

stabilitydelaynormal formexistence of solutionrotating wavesAndronov-Hopf bifurcationparabolic functional differential equationspatial argument rotation

Mathematics Subject Classification ID

Partial functional-differential equations (35R10)

Related Items (9)

Reducing dimensionality to model 2D rotating and standing waves in a delayed nonlinear optical system with thin annulus aperture ⋮ Bifurcations of self-oscillatory solutions to a nonlinear parabolic equation with a rotating spatial argument and time delay ⋮ Ellipticity of Operators Associated with Morse–Smale Diffeomorphisms ⋮ Unnamed Item ⋮ On one Cauchy problem for a hyperbolic differential-difference equation ⋮ Hopf bifurcation in diffusive model of nonlinear optical system with matrix Fourier filtering ⋮ Rotating Waves in a Model of Delayed Feedback Optical System with Diffraction ⋮ Two-dimensional rotating waves in a functional-differential diffusion equation with rotation of spatial arguments and time delay ⋮ Stable structures of nonlinear parabolic equations with transformation of spatial variables

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