Heteroclinic connection

In dynamical systems, a branch of mathematics, a structure formed from the stable manifold and unstable manifold of a fixed point.

Let ${\displaystyle f:M\to M}$ be a map defined on a manifold ${\displaystyle M}$, with a fixed point ${\displaystyle p}$. Let ${\displaystyle W^{s}(f,p)}$ and ${\displaystyle W^{u}(f,p)}$ be the stable manifold and the unstable manifold of the fixed point ${\displaystyle p}$, respectively. Let ${\displaystyle V}$ be a connected invariant manifold such that

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