Consider $x'=f(x)$, where $f(0)=0$ and $f(x)=-x^3\sin\left(\frac{1}{x}\right)$ for every $x\neq 0$.
How to determine the stability of the fixed point $x^*=0$?
Consider $x'=f(x)$, where $f(0)=0$ and $f(x)=-x^3\sin\left(\frac{1}{x}\right)$ for every $x\neq 0$.
How to determine the stability of the fixed point $x^*=0$?
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