The Markus-Yamabe Conjecture in differential equations was posed in 1960. It states that if $f:\mathbb{R}^n\rightarrow\mathbb{R}^n$ is a $C^1$ map such that $f(0)=0$ and the eigenvalues of the Jacobian matrix $Df(x)$ have negative real part for every $x\in\mathbb{R}^n$, then $x=0$ is globally attractive. In the early 1990s, proofs for the $n=2$ case were given, but in 1996 a complicated counterexample in $n=4$ was constructed, and in 1997 a simple polynomial counterexample for $n\geq 3$ was produced.