Nonlinear Evolution of Spatio-Temporal Structures in by M. Dubois, F. Daviaud, M. Bonetti (auth.), F. H. Busse, L.

By M. Dubois, F. Daviaud, M. Bonetti (auth.), F. H. Busse, L. Kramer (eds.)

This quantity includes papers contributed to the NATO complicated examine Workshop "Nonlinear Evolution of Spatio-Temporal constructions in Dissipative non-stop platforms" held in Streitberg, Fed. Rep. Germany, Sept. 24 via 30, 1989. the aim of the quite lengthy identify has been to concentration cognizance on a very fruitful course of study in the large box coated through phrases like Nonlinear Dynamics or Non-Equilibrium structures. After physicists were occupied for a number of a long time more often than not with the microscopic constitution of topic, contemporary years have witnessed a resurgence of curiosity in macroscopic styles and dynamics. study on those latter phenomena has now not been dormant, after all, considering fluid dynamicists attracted to the foundation of turbulence, meteorologists learning climate styles and diverse different scientists have persevered to improve the certainty of the buildings correct to their disciplines. the new growth within the dynamics of nonl inear platforms wi th few levels of freedom and the invention of common legislation resembling the Feigenbaum scaling of period-doubling cascades has given upward thrust to new hopes for the knowledge of universal rules underlying the spontaneous formation of constructions in prolonged non-stop systems.

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Extra resources for Nonlinear Evolution of Spatio-Temporal Structures in Dissipative Continuous Systems

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Couder, V. Hakim, S. Zaleski, L. Kramer, P. Manneville and H. Chate. We thank DRET for its financial support through the contract 88/1343/DRET/DS/SR. REFERENCES [11 W. Eckhaus, "Studies in Nonlinear Stability Theory", Springer, New-York (1965). [2 V. Croquette and H. Williams, Nonlinear Competition Between Waves in Convective Rolls Phys. Rev. A 39 ,2765 (1989). [3] V. Croquette, M. Mory and F. Schosseler, Rayleigh-Benard Convective Structures in a Cylindrical Container, J. de Physique 44,293-301 (1983).

A, 350, 299. , 1987, Phys. Rev. A, 36, 4870. , 1923, Phil. Trans. Roy. Soc. A, 223, 289. , 1968, "Instabilities of Some Time Dependent Flows," D. Phil. Thesis, MIT. , 1987, Phys. Rev. , 58, 2543. , 1988, Phys. Rev. , 60, 700. , 1989, Phys. Rev. A, 40, 7197. 43 SIDEBAND INSTABILITY OF WAVES WITH PERIODIC BOUNDARY CONDITIONS B. Janiaud, E. Guyon, D. Bensimon and V. Croquette LPS-ENS, 24 rue Lhomond, 75231 Paris cedex 05 ABSTRACT The sideband instability for traveling waves is studied experimentally under periodic boundary conditions.

88 and Tc = 246±5 in reasonable agreement with Seminara and Hall. There was, however, a surprise. ,= canst. 0. ,caswt [1 + Ecoswt) (b) (a) (c) Figure 2. (a) Cylinder in infinite fluid. (b) Modulated inner cylinder, oscillating about a mean speed (c) Steady rotation of inner cylinder, outer cylinder rotating about zero mean. n. >. f- 300 280 260 240 v .... ---x -

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