The Rabinovich-Fabrikant equations are a set of three coupled ordinary differential equations exhibiting chaotic behavior for certain values of the parameters. The equations are:
An example of chaotic behavior is obtained for and . The correlation dimension was found to be 2.19 ± 0.01.
(See Grassberger et al. 1983).
- P. Grassberger and I. Procaccia (1983). "Measuring the strangeness of strange attractors". Physica D 9 189–208. (LINK)
- Rabinovich, M. I. and Fabrikant, A. L. (1979). "Stochastic Self-Modulation of Waves in Nonequilibrium Media". Sov. Phys. JETP 50 311.