#### 366 Citations

A new approach to the analysis of free rotations of rigid bodies

- Mathematics
- 1996

Free rotation of rigid bodies was the first problem that was completely solved in dynamics of rigid bodies. Originally it was studied by LEONARD EULER. Later POINSOT offered the famous geometrical… Expand

Studies of the Regular and Irregular Isorepresentations of the Lie-Santilli Isotheory

- Mathematics
- 2017

As it is well known, the Lie theory is solely applicable to dynamical systems consisting of point-like particles moving in vacuum under linear and Hamiltonian interactions (systems known as exterior… Expand

On the Hojman conservation quantities in FRW Cosmology

- Physics
- 2016

In the present work we investigate the Hojman symmetry in FRW cosmology. In particular, we use the Hojman symmetry to find conserved quantities of particular cosmological models. Next, we study the… Expand

Outline of Hadronic Mathematics, Mechanics and Chemistry as Conceived by R. M. Santilli

- Mathematics
- 2015

In this paper, we outline the various branches of hadronic mathematics and their applications to corresponding branches of hadronic mechanics and chemistry as conceived by the Italian-American… Expand

TITLE WILL BE SET BY THE PUBLISHER ESAIM: Control, Optimisation and Calculus of Variations

- 2017

This paper investigates a class of Lagrangian control systems with n degrees-of-freedom (DOF) and n− 1 actuators, assuming that n− 1 virtual holonomic constraints have been enforced via feedback, and… Expand

NON-HAMILTONIAN UNNORMALIZED QUATERNIONS OF HALF-ROTATION IN ALGORITHMS OF STRAPDOWN INERTIAL SYSTEMS

- Mathematics
- 2015

The application of non-Hamiltonian unnormalized quaternions of half-rotation in algorithmsof strapdown inertial systems is considered in the article. Non-Hamiltonian unnormalized quaternionscan be… Expand

The Helmholtz Conditions for the Difference Equations Systems

- 2007

This paper present the analogous of the Helmholtz conditions for first and second order difference equations systems. We obtain variational implicit algoritms used in numerical analysis and numerical… Expand

THE FIELD EQUATION FROM NEWTON'S LAW OF MOTION AND THE ABSENCE OF MAGNETIC MONOPOLE

- Physics
- 2001

By requiring the linear differential operator in Newton's law of motion to be self adjoint, we obtain the field equation for the linear theory, which is the classical electrodynamics. In the process,… Expand

The inverse variational problem for autoparallels

- Physics, Mathematics
- 1999

We study the problem of the existence of a local quantum scalar field theory in a general affine metric space that in the semiclassical approximation would lead to the autoparallel motion of… Expand

Stability of motion for a constrained Birkhoff's system in terms of independent variables

- Mathematics
- 1997

This paper proposes firstly the Pfaff-Birkhoff-D'Alembert's principle and obtains the equations of motion in terms of the independent variables for a constrained Birkhoff's system from the principle.… Expand