5) [4 points ] A nonlinear system and one point (P₁,91) of an m-cycle is given. I [In+1 = 3-x² Yn+1 = 2yn, (P1,91) = (2,
Posted: Mon May 23, 2022 12:46 pm
5) [4 points ] A nonlinear system and one point (P₁,91) of an m-cycle is given. I [In+1 = 3-x² Yn+1 = 2yn, (P1,91) = (2,0) a) Find the fixed points and determine their local stability (Sink, source, saddle?) b) Find the other points of the m-cycle and the period of the cycle and determine the local stability or instability of the cycle with reasoning(you can do your computations for the values on the computer).