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Stability theory, including global stability (in dynamical systems, where it can notably be used in combination with ds.dynamical-systems)

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Examples of systems with stable equilibria at the boundary of the phase space

Based on your description, I assume that you seek dynamical systems $\dot{{\bf{x}}}={\bf{f}}({\bf{x}})$ on $\mathbb{R}^n$ for which the set $X=[-1,1]^n$ is invariant, and for which there exist stable …
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