Dynamics of Nonlinear Parabolic Equations with Cosymmetry
Dynamics of a cosymmetric system of nonlinear parabolic equations is studied to model of population kinetics. Computer algebra system Maple is applied to perform some stages of analytical investigation and develop a finite-difference scheme which respects the cosymmetry property. We present different scenarios of evolution for coexisted nonstationary regimes and families of equilibria branched off of the state of rest.
KeywordsNonlinear Parabolic Equation Chaotic Regime Neutral Curve Variable Spectrum Oscillatory Instability
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- 4.Frischmuth, K., Tsybulin, V.G.: Cosymmetry preservation and families of equilibria. In: Computer Algebra in Scientific Computing – CASC 2004, pp. 163–172 (2004)Google Scholar