Global buckling vs. local buckling. What does it mean?

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Let´s clarify global and local buckling. What is the difference? 

We consider global buckling for members including the connection (e.g. fin plate), while detailed buckling checks can be neglected at a buckling coefficient higher than 15.

Local buckling applies to individual plates (stiffeners, column web), and according to experiments it is considered to be neglectable when the buckling factor is higher than 3.

In the video, there is explained of these types of buckling and how to deal with it, considering the buckling factors and buckling shapes.