Equivalence of energy methods in stability theory

Details Equivalence of energy methods in stability theory Equivalence of energy methods in stability theory

2006-01-19

arxiv.org/abs/math/0601465v3

Mathematics

Dynamical Systems

10 pages, no figures, minnor corrections

Scientific paper

10.1063/1.2716201

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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