Convective Lyapunov exponents and propagation of correlations

Physical Review Letters

Volumn 85, Issue 17, 2000, Pages 3616-3619

  Giacomelli, G ^a,b   Hegger, R ^a,c   Politi, A ^a,b   Vassalli, M ^a  

^a ISTITUTO NAZIONALE DI OTTICA   (Italy)

^b INFM   (Italy)

^c MAX PLANCK INSTITUT FÜR PHYSIK KOMPLEXER SYSTEME   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

CARBON DIOXIDE LASERS; CHAOS THEORY; CORRELATION METHODS; HEAT FLUX; LYAPUNOV METHODS; MATHEMATICAL MODELS; PARTIAL DIFFERENTIAL EQUATIONS; PERTURBATION TECHNIQUES; WAVE PROPAGATION;

CONVECTIVE LYAPUNOV EXPONENTS; FERMI-PASTA-ULAM CHAIN; GINZBURG-LANDAU EQUATION; HAMILTONIAN SYSTEM; SPATIOTEMPORAL CHAOS;

DYNAMICS;

EID: 0034296088     PISSN: 00319007     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevLett.85.3616     Document Type: Article

References (21)

1. J. L. Kaplan and J. A. Yorke, Lect. Notes Math. 730, 228 (1979).
2. Ya. B. Pesin, Russ. Math. Surv. 32, 55 (1977).
3. T. Bohr and O. B. Christensen, Phys. Rev. Lett. 63, 2161 (1989).
4. P. Gaspard and G. Nicolis, Phys. Rev. Lett. 65, 1693 (1990); D. J. Evans, E. G. D. Cohen, and G. P. Morriss, Phys. Rev. A 42, 5990 (1990).
5. P. Gaspard and G. Nicolis, Phys. Rev. Lett. 65, 1693 (1990); D. J. Evans, E. G. D. Cohen, and G. P. Morriss, Phys. Rev. A 42, 5990 (1990).
6. Slightly different values can be obtained for the velocity as a consequence of different delinitions for the peak position (e.g., the maximum, center of mass, etc.). A detailed discussion of this point can he found in G. Giacomelli, R. Hegger, and A. Politi (unpublished).
7. R. J. Deissler and K. Kaneko, Phys. Lett. A 119, 397 (1987).
8. A. Politi and A. Torcini, Europhys. Lett. 28, 545 (1994).
9. K. Kaneko, Physica (Amsterdam) 23D, 436 (1986).
10. E. Fermi, J. Pasta, and S. Ulam, in Collected Papers of Enrico Fermi, Vol. 2, edited by E. Segré (University of Chicago, Chicago, 1965), p. 978.
11. S. Lepri, R. Livi, and A. Politi, Europhys. Lett. 43, 271 (1998).
12. A. Politi and A. Torcini, Chaos 2, 293 (1992).
13. S. Lepri, A. Politi, and A. Torcini, J. Stat. Phys. 82, 1429 (1996).
14. P. Manneville, Dissipative Structures and Weak Turbulence (Academic, New York, 1990).
15. A. C. Newell and J. V. Moloney, Nonlinear Optics (Addison-Wesley, Redwood City, CA, 1992).
16. F. T. Arecchi, W. Gadomski, and R. Meucci, Phys. Rev. A 34, 1617 (1986).
17. G. Giacomelli, R. Meucci, A. Politi, and F. T. Arecchi, Phys. Rev. Lett. 73, 1099 (1994).
18. F. T. Arecchi, G. Giacomelli, A. Lapucci, and R. Meucci, Phys. Rev. A 45, 4225 (1992).
19. G. Giacomelli and A. Politi, Phys. Rev. Lett. 76, 2686 (1996).
20. R. Hegger, M. J. Bünner, H. Kantz, and A. Giaquinta, Phys. Rev. Lett. 81, 558 (1998).
21. M. J. Bünner, M. Ciofini, A. Giaquinta, R. Hegger, H. Kantz, R. Meucci, and A. Politi, Eur. Phys. J. D 10, 177 (2000).