Fourier-Bessel analysis of patterns in a circular domain

This paper explores the use of the Fourier-Bessel analysis for characterizi ng patterns in a circular domain. A set of stable patterns is found to be w ell-characterized by the Fourier-Bessel functions. Most patterns are domina ted by a principal Fourier-Bessel mode [n, m] which has the largest Fourier -Bessel decomposition amplitude when the control parameter R is close to a corresponding non-trivial root (rho (n,m)) of the Bessel function. Moreover , when the control parameter is chosen to be close to two or more roots of the Bessel function, the corresponding principal Fourier-Bessel modes compe te to dominate the morphology of the patterns. (C) 2001 Elsevier Science B. V. All rights reserved.