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math.DS2007
Periodic orbits in the case of a zero eigenvalue
Petre Birtea, Mircea Puta, Razvan Micu Tudoran
We will show that if a dynamical system has enough constants of motion then a Moser-Weinstein type theorem can be applied for proving the existence of periodic orbits in the case w…
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…