Guan, S.Lai, C.-H.Wei, G.W.PHYSICSCOMPUTATIONAL SCIENCE2014-10-162014-10-162001-05-01Guan, S., Lai, C.-H., Wei, G.W. (2001-05-01). Fourier-Bessel analysis of patterns in a circular domain. Physica D: Nonlinear Phenomena 151 (2-4) : 83-98. ScholarBank@NUS Repository. https://doi.org/10.1016/S0167-2789(01)00223-801672789https://scholarbank.nus.edu.sg/handle/10635/96671This paper explores the use of the Fourier-Bessel analysis for characterizing patterns in a circular domain. A set of stable patterns is found to be well-characterized by the Fourier-Bessel functions. Most patterns are dominated 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 (ρn,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 compete to dominate the morphology of the patterns. © 2001 Elsevier Science B.V.Cahn-Hilliard equationCircular domainFourier-Bessel analysisArticle000168775400001