臺灣博碩士論文加值系統

考慮格狀系統中FitzHugh-Nagumo類型的反應擴散方程。在這個系統，我們研究了不同擴散中的活化因子在沒有時間影響下的解。利用變分法(variational method)，我們得到一個異質分佈式在沒有時間影響下的解。而這種非常數解 (non-constant solution) 可以被看作是從trivial solution上的分歧。

A lattice dynamical system of FitzHugh-Nagumo type is considered. In this system, we study the stationary solutions under different diffusivity for activator. Using the variational method, we obtain a heterogeneous distributed stationary solution. Such a non-constant solution can be viewed as a bifurcation from the trivial solution.

1 Introduction 3
2 Related properties for matrix A 6
3 Trignometry identities 10
4 Proof of main results 13
5 References 20

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