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Homework Statement
System in polar coordinates
[itex]\dot{r}[/itex] = 2r - r3(2 + sin([itex]\theta[/itex])),
[itex]\dot{\theta}[/itex] = 3 - r2
Use a trapping region to show there is at least one periodic orbit?
Homework Equations
By using Poincare Bendixson's Theorem
The Attempt at a Solution
I am struggling to know where to start.. Do I start by considering
g([itex]\theta[/itex]) = 2 + sin([itex]\theta[/itex]). Any help would be greatly appreciated?