Question: please provide an explanation and applicable graphs I am just learning the concept Consider the dynamical system on '11' d = M + cos(20). 1.

please provide an explanation and applicable graphs I am just learning the concept

Consider the dynamical system on '11' d = M + cos(20). 1. Without justication, list all bifurcations in this system when it varies. You need to answer What the bifurcation value m. 6 R is, at Which point 0* 6 'll' it takes place, and What the type is. 2- Use the facts cos(20) = 1 2 sin2 0 and fd027T foran w>1 Twsin0_ w21 y to calculate the period of the system When u > 1. 3. Suppose a = 1+10'4. Sketch the solution of this system With 0(0) = 0. Provide necessary explanation. Your plot needs to be qualitatively correct, but it does not have to scale

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