Questions tagged [stability]

I watched on TV as they where showing gold bars stored in bank vaults and I noticed that they always stack them with the narrow side down and the wide side up. Like this: So there has to be a mechanical reason why is that. Any ideas?

An example of bounded gradient flows are Hopfield networks, which are gradient dynamical systems, used (among other things) to solve combinatorial optimization problems, because stable equilibria are at vertices of the hypercube $[-1,1]^n$. They…

while solving a physical problem of an optical beam propagating through a periodic media, I have obtained the following system of coupled differential equations \begin{gather} \frac{d}{dz}\begin{bmatrix} y_1 \\ y_2 \\ y_3 \end{bmatrix} = …

An entire topic of inorganic chemistry, i.e. chemical bonding, which is also one of the most important topics, is based on the idea of stability. But whenever I ask why every system tends to get stable, I never get a satisfactory answer. People say…