Chemical oscillations, waves, and turbulence. (English) Zbl 0558.76051

Kuramoto, Y.

Springer Series in Synergetics, Vol. 19, Berlin etc.: Springer-Verlag. VIII, 156 p. DM 79.00; $ 28.80 (1984).

The book concerns the dynamics of many-oscillator systems of dissipative type with special emphasis on oscillating reaction-diffusion systems. The methods used are the reductive perturbation method and the phase description method. These are applied to: the onset of collective rhythms; the wavepattern formation and the diffusion induced chemical turbulence. The book has seven chapters. Three of them concern the methods and the other the applications.

Reviewer: C.Drugarin

MSC:

76F99	Turbulence
80A32	Chemically reacting flows
76-02	Research exposition (monographs, survey articles) pertaining to fluid mechanics
76Rxx	Diffusion and convection

Keywords:

many-oscillator systems of dissipative type; oscillating reaction- diffusion systems; reductive perturbation method; phase description method; onset of collective rhythms; wavepattern formation; diffusion induced chemical turbulence