IDC402 Non Linear Dynamics

Wednesday, February 2, 2022

Mechanisms to get an odd period

Third kind of [bifurcation] - Tangent Bifurcation, Saddle node bifurcation

No solutions 2 solutions, of which 1 is stable and 1 is unstable.

Dotted lines are unstable

Intermittency

[Intermittency last class]

Structure within this region

Organisation and Appearance of Periodic Orbits

3,5,7, 23,25,27, 223,225, 23,22,21,1

Orbits of a map F will come in the reverse order. Hence, Period 3 implies chaos.