Active Control of Oscillation Patterns in the Presence of Multiarmed Pitchfork Structure of the Critical Manifold of Singularly Perturbed System

Figure 3

Numerical solution of 𝜖²𝑦^′′+𝑓(𝑡,𝑦)=0,𝑦(−𝛿)=𝑦₀, and 𝑦^′(−𝛿)=𝑦₁ with [𝑦₀,𝑦₁]=[1.2,0]∈𝐴₋₁(𝜖) and 𝑛=1,  ℎ(𝑡)≡1,  𝜇=1,  𝛿=0.1,  𝑇=0.5, and  𝜖=0.02.