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arXiv 2006-01-19 DOI 10.1063/1.2716201 0 views

Equivalence of energy methods in stability theory

Birtea, Petre · Puta, Mircea

Original · EN

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.

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