計算論的神経科学 - 力学系、分岐解析、Izhikevichモデル をみた。

講義

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Phase-plane plot: one-dimensional case

Phase-plane plot: schematic method for capturing qualitative behaviors of differential equations without solving.

• 微分方程式を解かずに大域的な振る舞いを知る方法。

Phase-plane plot: two-dimensional case

Phase-plane plot: Nullclines

Phase-plane plot: Separatric

Bifurcation: Saddle-node bifurcation

Bifurcation: (supercritical) Andronov-Hopf bifurcation

Izhikevich model: quadratic and linear nullclines