Self-parametric instability in spatially extended systems

Physical Review Letters

Volumn 86, Issue 5, 2001, Pages 807-809

  Argentina, M ^a   Coullet, P ^a   Risler, E ^a  

^a INSTITUT NON LINÉAIRE DE NICE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; LYAPUNOV METHODS; PARTIAL DIFFERENTIAL EQUATIONS;

FLOQUET MULTIPLIERS;

NONLINEAR OPTICS;

EID: 0035137778     PISSN: 00319007     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevLett.86.807     Document Type: Article

References (13)

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3. A. A. Andronov, E. A. Vitt, and S. E. Khaiken, Theory of Oscillators (Pergamon Press, Oxford, 1966); see also J. Guckenheimer and P. Holmes, Nonlinear Oscillations, Dynamical Systems, and Bifurcation of Vector Fields (Springer, New York, 1983).
4. Yoshiki Kuramoto, Chemical Oscillations, Waves and Turbulence (Springer-Verlag, Berlin, New York. 1984).
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10. S. Jakubith, H. H. Rotermund, W. Engel, A. von Oertzen, and G. Ertl, Phys. Rev. Lett. 65, 3013 (1990); M. Eiswirth, M. Bar, and H. H. Rotermund, Physica (Amsterdam) 84D, 40 (1995); J. Verdasca, P. Borekmans, and G. Dewell, "Spatio-temporal Patterns in the CO Oxidation on Pt(110): The Role of Non-Fickian Diffusion" (to be published).
11. S. Jakubith, H. H. Rotermund, W. Engel, A. von Oertzen, and G. Ertl, Phys. Rev. Lett. 65, 3013 (1990); M. Eiswirth, M. Bar, and H. H. Rotermund, Physica (Amsterdam) 84D, 40 (1995); J. Verdasca, P. Borekmans, and G. Dewell, "Spatio-temporal Patterns in the CO Oxidation on Pt(110): The Role of Non-Fickian Diffusion" (to be published).
12. The forced Ginzburg-Landau models provide several examples of the finite wavelength period doubling instability.
13. S. Edwards and S. Fauve, J. Fluid Mech. 278, 123 (1994).