Equivalence of energy methods in stability theory

Abstract

We will prove the equivalence of three methods, the so called energy methods, for establishing the stability of an equilibrium point for a dynamical system. We will illustrate by examples that this result simplifies enormously the amount of computations especially when the stability can not be decided with one of the three methods.

10 pages, no figures, minnor corrections

References in corpus (1)

• A short proof of chaos in an atmospheric system

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