Definition of a Period 2-orbit

Question

In my text and notes, the term "period 2-orbit" and "period 2 doubling to chaos" is used but without a definition given.

Can someone provide a definition for what period 2-orbit is?

Thanks in advance.

Answer 1

usually in terms of chaos theory this the used definition period doubling

A period doubling cascade is a sequence of doublings and further doublings of the repeating period, as the parameter is adjusted further and further.

A period n orbit is akin to an identity map after every n iterations.

often accompanied by the limit of the ratio of distance of period doublings