describing asymptotic behaviour of soln of ODE

dopey9

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Jul 14, 2006
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I have the following ODE:

dx/dt = x^4 +4(x^3) - 60(x^2)

Generally the solutions x(t) satisfy x(0) = x[0].

I have found that the attactor is -10, the repellor is 6, and 0 is neither. However, I want to describe the asymptotic behaviour of the solution satisfying x(0) = 1/2, and this is where I get stuck. Advice?

Thank you.
 
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