Nm. Halden, DETERMINATION OF LYAPOUNOV EXPONENTS TO CHARACTERIZE THE OSCILLATORY DISTRIBUTION OF TRACE-ELEMENTS IN MINERALS, Canadian Mineralogist, 34, 1996, pp. 1127-1135
Lyapounov exponents have been determined for patterns of oscillatory z
oning as revealed by cathodoluminescence in zircon and apatite; values
for the exponent range from +0.0011 to +0.0149. These positive values
indicate that the zoning patterns are weakly chaotic, and that the de
velopment of the zoning was sensitive to the initial conditions of cry
stal growth. The Lyapounov exponent can be used as a quantitative meas
ure of the zoning character and in comparisons of various patterns of
zoning.