18 citations · 122 across the 27 of their papers we have counts for
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math.DS2011★ 16 cited
Geometrical dissipation for dynamical systems
Petre Birtea, Dan Comanescu
On a Riemannian manifold we consider the functions and construct the vector fields that conserve and dissipate with a prescribed rat…
math.DS2011★ 5 cited
Asymptotic Stability of Dissipated Hamilton-Poisson Systems
Petre Birtea, Dan Comănescu
We will further develop the study of the dissipation for a Hamilton-Poisson system introduced in \cite{2}. We will give a tensorial form of this dissipation and show that it preser…
math.DS2011★ 10 cited
Hamilton-Poisson formulation for the rotational motion of a rigid body in the presence of an axisymmetric force field and a gyroscopic torque
Petre Birtea, Ioan Casu, Dan Comanescu
We give sufficient conditions for the rigid body in the presence of an axisymmetric force field and a gyroscopic torque to admit a Hamilton-Poisson formulation. Even if by adding a…