If a plane autonomous system has a periodic solution, then there must be at least one
Chapter 11, Problem 29(choose chapter or problem)
If a plane autonomous system has a periodic solution, then there must be at least one critical point inside the curve generated by the solution. In Problems 27–30, use this fact together with a numerical solver to investigate the possibility of periodic solutions.
\(x^{\prime}=y\)
\(y^{\prime}=y\left(1-3 x^{2}-2 y^{2}\right)-x\)
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