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6 papers · 2 filters
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…
Exponential dichotomies for linear discrete-time systems in Banach spaces
Ioan-Lucian Popa, Mihail Megan, Traian Ceausu
In this paper we investigate some dichotomy concepts for linear difference equations in Banach spaces. We motivate our approach by illustrative examples.
Non-existence of periodic solutions in fractional-order dynamical systems and a remarkable difference between integer and fractional-order derivatives of periodic functions
Eva Kaslik, Seenith Sivasundaram
Using the Mellin transform approach, it is shown that, in contrast with integer-order derivatives, the fractional-order derivative of a periodic function cannot be a function with…
On a unified formulation of completely integrable systems
Răzvan M. Tudoran
The purpose of this article is to show that a differential system on which admits a set of independent conservation laws defined on an…
Invariant critical sets of conserved quantities
Petre Birtea, Dan Comănescu
For a dynamical system we will construct various invariant sets starting from its conserved quantities. We will give conditions under which certain solutions of a nonlinear system…
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…