Dynamics of Nonlinear Parabolic Equations with Cosymmetry

  • Ekaterina S. Kovaleva
  • Vyacheslav G. Tsybulin
  • Kurt Frischmuth
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 4770)


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.


Nonlinear Parabolic Equation Chaotic Regime Neutral Curve Variable Spectrum Oscillatory Instability 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2007

Authors and Affiliations

  • Ekaterina S. Kovaleva
    • 1
  • Vyacheslav G. Tsybulin
    • 1
  • Kurt Frischmuth
    • 2
  1. 1.Department of Computational Mathematics, Southern Federal University, Rostov-na-DonuRussia
  2. 2.Department of Mathematics, University of RostockGermany

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