Bifurcations of rotating structures in a parabolic functional differential equation

DOI10.1007/S11072-006-0034-1zbMath1262.35122OpenAlexW2044253876WikidataQ115381635 ScholiaQ115381635MaRDI QIDQ1949356

O. B. Lykova, E. P. Belan

Publication date: 7 May 2013

Published in: Nonlinear Oscillations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11072-006-0034-1

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Periodic solutions to PDEs (35B10) Initial-boundary value problems for second-order parabolic equations (35K20) Bifurcations in context of PDEs (35B32)

Related Items (2)

Dynamics of stationary structures in a parabolic problem with reflected spatial argument ⋮ Optical buffering in stationary structures

Cites Work

• Geometric theory of semilinear parabolic equations
• The Hopf bifurcation and its applications. With contributions by P. Chernoff, G. Childs, S. Chow, J. R. Dorroh, J. Guckenheimer, L. Howard, N. Kopell, O. Lanford, J. Mallet-Paret, G. Oster, O. Ruiz, S. Schecter, D. Schmidt, and S. Smale
• Theory of functional differential equations. 2nd ed
• Rotating structures in a parabolic functional-differential equation
• Bifurcations in the presence of a symmetry group
• Optical buffering and mechanisms for its occurrence
• Bifurcation of periodic solutions for nonlinear parabolic functional differential equations arising in optoelectronics
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