Several problems from mechanical engineering, e.g., vibrations of a spring–mass system with unequal restraints, pendulum impact, gear-pair backlash and friction, etc. are modeled using second-order differential equations involving discontinuous mathematical functions such as signum, Heaviside, modulus, perturbation-like methods parameter expansion, homotopy perturbation, modified Lindstedt–Poin...

It is well known that the Galilei algebra is a sub algebra of Poincare algebra in one space dimension more. 1 This fact allows us to relate relativistic Poincare and Galilean theories. An interesting point is that Galilei transformations in two space dimensions are contained in the usual Poincare transformations? This enables us to present Poincare spin zero wavefunctions as Fourier transforms ...

This work introduces a new set of orbital elements to fully represent the zonal harmonics problem around an oblate celestial body. allows obtain complete linear system for unperturbed and, in addition, polynomial when considering perturbation produced by from gravitational force These present no singularities and are able any kind orbit, including elliptic, parabolic hyperbolic orbits. In appli...

There are Poincare group representations on complex Hilbert spaces, like the Dirac spinor field, or real Hilbert spaces, like the electromagnetic field tensor. The Majorana spinor is an element of a 4 dimensional real vector space. The Majorana spinor field is a space-time dependent Majorana spinor, solution of the free Dirac equation. The Majorana-Fourier and Majorana-Hankel transforms of Majo...

In this research paper, we had studied the various concepts related to image segmentation and different mapping methods. We had discussed Poincare maps for segmentation of images. To implement this method, we had considered pair wise region comparison so that we get to know the minimum edge weight comprising between two regions and also calculate difference between both of them. We had discusse...

The Poincare invariance in the temporal gauge canonical quantization of QCD is shown manifestly by verifying the energy-momentumvector and angular-momentum-tensor satisfy the Poincare algebra in the physical Hilbert space. Two different values of θ for the θ-term in QCD lagrangian lead to different representations of the Poincare group, which are, however, connected by an unitary transformation...

The relative motion of an outline the rendezvous problem has been studied by assuming that chief satellite is in circular symmetric orbits. legitimacy perturbation techniques and nonlinear are investigated. deputy equations with respect to fixed references at center general case. We found periodic solutions linear for using Lindstedt–Poincaré technique. Comparisons among analytical motions obta...