Intermittency of Chaos Functions and the Belousov-Zhabotinsky Reaction

Intermittent time series generated by the one-dimensional (1-D) solvable chaos map consisting of time-dependent chaos functions are firstly presented, without the accumulation of round-off error caused by numerical iterations. Then, the 1-D map is applied for deriving a 2-D solvable chaos map corresponding to the Belousov-Zhabotinsky (BZ) reaction, which is known to have chemical waves in time. Finally, discrete limit cycles with chaotic dynamics and the pattern formation depending on the system parameter are obtained numerically by considering the bifurcation diagram, and are discussed on the basis of the numerical result for chemical cells of the BZ reaction, as one of non-equilibrium open systems.