Given the ODE system:(adsbygoogle = window.adsbygoogle || []).push({});

v' = u(u^{2}-1)

u' = v-u

Define w=u^{2}+v^{2}. Compute w'.

Find the largest radius R for which u^{2}+v^{2}<R so that the if the solution curve (u,v) is inside that circle the solution tends to (0,0) as t--> +[tex]\infty[/tex]

Any guidance would be appriciated !

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# Nonlinear ODE system

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