Pattern Bifurcation in a Nonlocal Erosion Equation

DOI10.1134/S000511792311005XMaRDI QIDQ6497910

D. A. Kulikov

Publication date: 6 May 2024

Published in: Automation and Remote Control (Search for Journal in Brave)

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Bifurcations in context of PDEs (35B32) Boundary value problems for nonlinear first-order PDEs (35F30)

Cites Work

• 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
• Invariant manifolds and global attractor of the Ginzburg-Landau integro-differential equation
• A possibility of realizing the Landau-Hopf scenario in the problem of tube oscillations under the action of a fluid flow
• Bifurcations of spatially inhomogeneous solutions in two versions of the nonlocal erosion equation
• Attractors in models of porous media flow
• Invariant manifolds of a weakly dissipative version of the nonlocal Ginzburg-Landau equation
• Invariant varieties of the periodic boundary value problem of the nonlocal Ginzburg–Landau equation
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