Concepedia

The Kuramoto-Sivashinsky equation: A bridge between PDE'S and dynamical systems

James M. Hyman, B. Nicolaenko

Physica D Nonlinear Phenomena · 1986 · 332 citations · 15 references

DOI

Concepts

References

15

Nonlinear analysis of hydrodynamic instability in laminar flames—I. Derivation of basic equations

G. Sivashinsky · Acta Astronautica · 1977 · 1.5K citations

, , +17

Persistent Propagation of Concentration Waves in Dissipative Media Far from Thermal Equilibrium

Y. Kuramoto, T. Tsuzuki · Progress of Theoretical Physics · 1976 · 1K citations · Full text

, , +16

Long Waves on Liquid Films

D. J. Benney · Journal of Mathematics and Physics · 1966 · 938 citations

, , +11

Diffusion-Induced Chaos in Reaction Systems

Yoshiki Kuramoto · Progress of Theoretical Physics Supplement · 1978 · 600 citations · Full text

, , +14

On the Formation of Dissipative Structures in Reaction-Diffusion Systems: Reductive Perturbation Approach

Yoshio Kuramoto, T. Tsuzuki · Progress of Theoretical Physics · 1975 · 415 citations · Full text

, , +17