| Autor: |
dos Santos, Jair Silvério, Bená, Maria Aparecida |
| Předmět: |
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| Zdroj: |
Applicable Analysis; Aug2004, Vol. 83 Issue 8, p807-824, 18p |
| Abstrakt: |
In this work we study a reaction-diffusion problem with delay and we make an analysis of the stability of solutions by means of bifurcation theory. We take the delay constant as a parameter. Special conditions on the vector field assure existence of a spatially nonconstant positive equilibrium U k , which is stable for small values of the delay. An increase of the delay destabilizes the equilibrium of U k and leads to super or subcritical Hopf bifurcation. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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