B- Consider the nonlinear dynamical system *₁ (t) = px₁ (t)- wx₂ (t) + cx₁ (t) (x²(t) + x²(t)) *₂ (t) = wx₁ (t) + px₂ (t) + cx₂(t) (x²(t) + x²(t)) i-Find the equilibrium point(s). ii- Does the dynamic bifurcate? If so, show that. Then, find and classify the bifurcation type.
B- Consider the nonlinear dynamical system *₁ (t) = px₁ (t)- wx₂ (t) + cx₁ (t) (x²(t) + x²(t)) *₂ (t) = wx₁ (t) + px₂ (t) + cx₂(t) (x²(t) + x²(t)) i-Find the equilibrium point(s). ii- Does the dynamic bifurcate? If so, show that. Then, find and classify the bifurcation type.
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Transcribed Image Text:B- Consider the nonlinear dynamical system
*₁ (t) = px₁ (t)- wx₂ (t) + cx₁ (t) (x? (t) + x² (t))
*₂(t)= = wx₂ (t) + px₂ (t) + cx₂ (t) (x² (t) + x² (t))
i-Find the equilibrium point(s).
ii- Does the dynamic bifurcate? If so, show that. Then, find and classify the bifurcation type.
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