19 citations · 33 across the 4 of their papers we have counts for
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math.SG2006★ 2 cited
Metric convexity in the symplectic category
Petre Birtea, Juan-Pablo Ortega, Tudor S. Ratiu
We introduce an extension of the standard Local-to-Global Principle used in the proof of the convexity theorems for the momentum map to handle closed maps that take values in a len…
math.DS2006
Equivalence of energy methods in stability theory
Petre Birtea, Mircea Puta
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 e…