19 citations · 54 across the 7 of their papers we have counts for
8 papers
The Dynamics of Rabinovich system
Oana Chis, Mircea Puta
The paper presents some dynamical aspects of Rabinovich type, with distributed delay and with fractional derivatives.
Asymptotic Stability for a Class of Metriplectic Systems
Petre Birtea, Mihai Boleantu, Mircea Puta +1
Using the framework of metriplectic systems on we will describe a constructive geometric method to add a dissipation term to a Hamilton-Poisson system such that any solution…
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…
On the symmetry breaking phenomenon
Petre Birtea, Mircea Puta, Tudor S. Ratiu +1
We investigate the problem of symmetry breaking in the framework of dynamical systems with symmetry on a smooth manifold. Two cases will be analyzed: general and Hamiltonian dynami…
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…
Symmetry breaking for toral actions in simple mechanical systems
Petre Birtea, Mircea Puta, Tudor S. Ratiu +1
For simple mechanical systems, bifurcating branches of relative equilibria with trivial symmetry from a given set of relative equilibria with toral symmetry are found. Lyapunov sta…