Stability in dynamical systems

Lyapunov exponents and ilk

A placeholder.

Informally, I am admitting as “stable” any dynamical system which does not explode super-polynomially fast; We can think of these as systems where if the system is not stationary then at least the rate of change might be.

Here I would like to think how to parameterize stable systems, and how to discover if systems are stable. This in a general context, which can be extremely hard in interesting systems. But often stability questions can be simpler in the context of linear systems.

In a general setting should probably look at stuff like Lyapunov exponents.


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