Centre-manifold invariance equation
= Centre-manifold invariance equation
If a centre manifold is the graph $v=h(u)$ for $\dot u=f(u,v)$ and $\dot v=g(u,v)$, its coefficients satisfy $Dh(u)f(u,h(u))=g(u,h(u))$.
= Centre-manifold invariance equation
If a centre manifold is the graph $v=h(u)$ for $\dot u=f(u,v)$ and $\dot v=g(u,v)$, its coefficients satisfy $Dh(u)f(u,h(u))=g(u,h(u))$.