Open AccessFractal analysis: Annual rainfall in Chennai
Author(s) -
S. Rajalakshmi,
S. Tamilselvi,
R. Gayathri
Publication year - 2010
Publication title -
mausam
Language(s) - English
Resource type - Journals
ISSN - 0252-9416
DOI - 10.54302/mausam.v61i1.774
Subject(s) - mandelbrot set , lyapunov exponent , hurst exponent , fractal dimension , fractal , mathematics , box counting , fractal analysis , dimension (graph theory) , lacunarity , meteorology , statistics , mathematical analysis , climatology , geography , geology , pure mathematics , physics , nonlinear system , quantum mechanics
The annual rainfall data of Chennai is analyzed using the Fractal Construction Technique. According to Mandelbrot the dimension of any line including nautical lines may not be Euclidean but Fractional, Mandelbrot, 1982. This fractional dimension leads to a repetitive appearance of any pattern. Climate which is usually periodic by nature can be analyzed through this technique. Efforts are on to search the fractal geometry of climate and to predict its periodicity on different temporal scales. This paper estimates the various parameters like Lyapunov exponent, Maximum Lyapunov characteristic exponent, Lyapunov time, Kaplan-Yorke dimension for the annual rainfall of Chennai.