A dynamical system is governed by the equation $\frac{dx}{dt}=2\sqrt{1-x^2}$, $|x|\leq 1$. Then By equating $\frac{dx}{dt}$ to $0$ we get $1,-1$ are the fixed points. But how to check their stability? We can not check values of $\frac{dx}{dt}$ left to $-1$ and right to $1$.
2026-03-25 06:32:44.1774420364
A question about stability
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