Dynamics on the global attractor of a gradient flow arising from the Ginzburg-Landau equation

Japan Journal of Industrial and Applied Mathematics

Volumn 11, Issue 2, 1994, Pages 185-202

  Mischaikow, Konstantin ^a   Morita, Yoshihisa ^b  

^a GEORGIA INSTITUTE OF TECHNOLOGY   (United States)

^b RYUKOKU UNIVERSITY   (Japan)

Author keywords

Ginzburg Landau equation; global attractor; model flow; Morse decomposition

Indexed keywords

EID: 0000400392     PISSN: 09167005     EISSN: 1868937X     Source Type: Journal    
DOI: 10.1007/BF03167221     Document Type: Article

References (24)

1. Slowly varying fully nonlinear wavetrains in the Ginzburg-Landau equation
2. A semilinear parabolic system arising in the theory of superconductivity
3. A bifurcation problem for a nonlinear partial differential equations of parabolic type
4. Invariant manifolds, for flows in Banach spaces
5. Non-linear wave-number interaction in nearcritical two-dimensional flows
6. Low-dimensional behavior in the complex Ginzburg-Landau equation
7. The connection matrix theory for Morse decompositions
8. The continuation theory for Morse decompositions and connection matrices
9. Dimension of the attractors associated to the Ginzburg-Landau partial differential equation
10. A dynamical system approach to a phase transition problem
11. Morse decompositions and connection matrices
12. Three-frequency motion and chaos in the Ginzburg-Landau equation
13. Transitions to chaos in the Ginzburg-Landau equation
14. Finite bandwidth, finite amplitude convection
15. Connected simple systems and the Conley index of isolated invariant sets
16. On the non-linear mechanics of wave disturbances in stable and unstable parallel flows
17. Center Manifolds and Contractions on a Scale of Banach Spaces