(a)x=y+x^2+xy^3 (b)x=2x-y+x^2 y=-2x-y^3 y=y(x+1) For (a) I get the critical po

(a)x=y+x^2+xy^3 (b)x=2x-y+x^2 y=-2x-y^3 y=y(x+1) For (a) I get the critical points are(00) and(-2^1/5 4^1/5). Then I get det(00)=2 and det(-2^1/5 4^1/5)=-10 so index of the system is -8 and the index of periodic orbit is 1 so theres no periodic orbit. For (b) I get the critical points are(00)(-1-1)(-20). The det is 2-12 so the index is 3 not equal to 1so no orbit.

Students are often burdened with the task of writing essays. They need to master various academic topics, understand how to integrate facts and arguments, and organize all of this information in a clear and logical way. This is not an easy task for many students. But fear not! We’ve got your back. Here at MoreEssays.com, we offer professional academic help that can take on all these tasks on your behalf. All you need to do is fill out the ** Order** form with your paper’s details, and we will get started on it right away!

Click Here to get this paper done within your deadline