Invariant manifolds of a weakly dissipative version of the nonlocal Ginzburg-Landau equation
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Publication:2660521
DOI10.1134/S0005117921020065zbMath1460.93048OpenAlexW3133693531MaRDI QIDQ2660521
D. A. Kulikov, Anatoly Kulikov
Publication date: 30 March 2021
Published in: Automation and Remote Control (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1134/s0005117921020065
Control/observation systems governed by partial differential equations (93C20) Integro-partial differential equations (45K05) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05)
Related Items (2)
Invariant manifolds and the global attractor of the generalised nonlocal Ginzburg-Landau equation in the case of homogeneous Dirichlet boundary conditions ⋮ Invariant manifolds and global attractor of the Ginzburg-Landau integro-differential equation
Cites Work
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- Local bifurcations of plane running waves for the generalized cubic Schrödinger equation
- Chemical oscillations, waves, and turbulence
- On the possibility of soft and hard turbulence in the complex Ginzburg- Landau equation
- Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
- Nonlinear and nonlocal dynamics of spatially extended systems: Stationary states, bifurcations and stability
- Coupled nonlocal complex Ginzburg-Landau equations in gasless combustion
- 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
- States of equilibrium of condensed matter within Ginzburg-Landau \(\varPsi^{4}\)-model.
- Invariant tori of a class of point mappings: The annulus principle
- Non-linear semi-groups
- The effect of nonlocal interactions on the dynamics of the Ginzburg-Landau equation
- The world of the complex Ginzburg-Landau equation
- Introduction to Hydrodynamic Stability
- Stable and chaotic solutions of the complex Ginzburg-Landau equation with periodic boundary conditions
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