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        Stability and bifurcation analysis in a diffusive Brusselator-type system, 王其如,7月4日8:50, L1218
        2018-07-04 09:57  

        報告摘要:In this talk, dynamics properties for a Brusselator-type system with diffusion are investigated. By employing the theory of Hopf bifurcation for ordinary and partial differential equations, we mainly obtain some conditions of the stability and Hopf bifurcation for the ODE system, diffusion-driven instability of the equilibrium solution, and the direction of the Hopf bifurcation and the stability of the bifurcating periodic solutions for the PDE system. Finally, some numerical simulations are presented to verify our results.



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