We have used unitary chiral dynamics in a coupled channel approach to solve the Faddeev equations for different two meson-one baryon and three meson systems. We have found many resonances in the strangeness S = 0,−1 and 1 sector which can be identified with many of the 1/2+ states listed by the Particle Data Group (PDG). In concrete, in the strangeness S = 0 sector, we have studied the ππN syst...

We present a model for ab-initio calculations of the interaction of two-electron atoms and molecules with few-cycle pulses of intense linearly polarised Ti:sapphire laser radiation. In the model the center-of-mass motion of the two electrons is restricted along the polarisation direction axis, while its relative coordinate and, hence, the electron correlation is retained in its full dimensional...

Many kinds of mechanical systems such as a robot, a machine tool, a vehicle and so on have multi bodies which have the relative motion each other. When we develop the mechanical systems, it is important to predict the motion and the interaction forces before they are actually manufactured after the design. Also, multi flexible body dynamics can be necessary for some mechanical systems including...

We consider the motions and associated flow patterns of a swimming giant danio (Danio malabaricus). Experimental flow-visualization techniques have been employed to obtain the unsteady two-dimensional velocity fields around the straight-line swimming motions and a 60 degrees turn of the fish in the centerline plane of the fish depth. A three-dimensional numerical method is also employed to pred...

An imbalance between energy intake and energy expenditure will lead to a change in body weight (mass) and body composition (fat and lean masses). A quantitative understanding of the processes involved, which currently remains lacking, will be useful in determining the etiology and treatment of obesity and other conditions resulting from prolonged energy imbalance. Here, we show that a mathemati...

We introduce an unbiased protocol for performing rotational moves in rigid-body dynamics simulations. This approach-based on the analytic solution for the rotational equations of motion for an orthogonal coordinate system at constant angular velocity-removes deficiencies that have been largely ignored in Brownian dynamics simulations, namely errors for finite rotations that result from applying...

In this paper we analyze an alternative formulation of the rigid body equations, their relationship with the discrete rigid body equations of Moser–Veselov and their formulation as an optimal control problem. In addition we discuss a general class of discrete optimal control problems.

A three-dimensional representation of rigid body dynamic equations becomes possible by introducing the dual inertia operator. This paper generalizes this result and by using motor transformation rules and the dual inertia operator, gives a general expression for the three-dimensional dynamic equation of a rigid body with respect to an arbitrary point. Then, the dual Lagrange equation is formula...

The general formulation of the mechanics of an affinely-rigid body in n dimensions was presented in [1, 2, 3]. Obviously, it is the special case n = 3 that is directly physically applicable, if a proper potential model is chosen. For realistic potentials, the three-dimensional problem is very difficult. The reason is that the group SO(3, IR) (and generally SO(n, IR) for n > 2) is semisimple and...

Rigid-body dynamics with unilateral contact is a good approximation for a wide range of everyday phenomena, from the operation of car brakes to walking to rock slides. It is also of vital importance for simulating robots, virtual reality, and realistic animation. However, correctly modeling rigid-body dynamics with friction is difficult due to a number of discontinuities in the behavior of rigi...