of function space u(r, t) as defined on domain Q ϭ ⍀ ϫ (Ϫȍ, ϩȍ), where ⍀ ʚ R n (which are sufficiently smooth
In this paper, we analyze the bifurcation of a biodynamics system in a two-dimensional domain by virtue of reaction-diffusion equa-for the relevant derivatives to be continuous and such tions. The discretization method in space is the finite element that the correct boundary conditions are satisfied). The method. The computational algorithm for an eigenspectrum is deequilibrium solutions of evolution equations (1) that are scribed in detail. On the basis of an analysis of eigenspectra acsubject to specified boundary conditions may be steady, cording to Helmholtz's equation, the discrete spectra in regards to periodic, or other forms. It is necessary to consider the the physical variables are numerically obtained in two-dimensional space. In order to investigate this mathematical model in regards stability of the solution since an unstable equlibrium soluto its practical use, we analysed the stability of two cases, i.e., tion for equations is not physical.
hydranth regeneration in the marine hydroid Tubularia and a brown
The finite element method has enabled the linear-elastic tide in a harbor in Japan. By evaluating the stability according to the instability analysis of practical structures under complex linearized stability definition, the critical parameters for outbreaks of load conditions [9]. The critical feature of the discrete brown tide can be theoretically determined. In addition, results for the linear combination of eigenspectrum coincide with the distribu-system for a buckling load can be obtained under linearized tion of the observed brown tide. Its periodic characteristic was also stability by a finite element method. Apart from the influverified. ᮊ 1997 Academic Press ence of nonlinear reaction terms in a reaction-diffusion system, the diffusion matrix has the same function as the stiffness one in structural analysis. Spectra are similar to