24 citations · 60 across the 8 of their papers we have counts for
8 papers
Relation between the first and second moments of distributions
H. M Yehia
A condition on the location of the centre of a mass (or probability) distribution is found if its second moments are given. The result is applied to the relation between the centre…
New families of integrable two-dimensional systems with quartic second integrals
H. M. Yehia, A. M. Hussein
The method introduced in (Yehia H M 2006 J. Phys. A: Math. Gen. 39 5807-5824) and (Yehia H M 2012 J. Phys. A: Math. Gen. 45 395209) is extended to construct new families of several…
Comments on two papers by Galliano Valent, concerning integrable Hamiltonian systems admitting quartic and cubic integrals
Hamad Yehia
In this note we comment on two recently published papers by G. Valent: The 1st is the preprint "On a Class of Integrable Systems with a quartic First Integral, arXiv:1304.5859. Apr…
New solvable problems in the dynamics of a rigid body about a fixed point in a potential field
Hamad M. Yehia
We determine the general form of the potential of the problem of motion of a rigid body about a fixed point, which allows the angular velocity to remain permanently in a principal…
A new integrable problem with a quartic integral in the dynamics of a rigid body
Hamad M. Yehia, Adel A. Elmandouh
We consider the problem of motion of a rigid body about a fixed point under the action of an axisymmetric combination of potential and gyroscopic forces. We introduce a new integra…
A new 2D integrable system with a quartic second invariant
Hamad M. Yehia
In the present note we introduce a new solution of this equation, lead- ing to a new integrable system with a quartic integral, which involves 16 free parameters. A special case of…