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- Andrzej OKNINSKI
- 2004

We study internal structure of the Kemmer-Duffin-Petiau equations for spin-0 and spin-1 mesons. We demonstrate, that the Kemmer-DuffinPetiau equations can be splitted into constituent equations, describing particles with definite mass and broken Lorentz symmetry. We also show that solutions of the three component constituent equations fulfill the Dirac… (More)

- Andrzej Okninski
- 2008

A nonlinear scalar field theory from which an effective metric can be deduced is considered. This metric is shown to be compatible with requirements of general relativity. It is demonstrated that there is a class of solutions which fulfill both the nonlinear field equation as the Einstein equations for this metric.

- Andrzej Okninski
- Symmetry
- 2012

In the present paper we study subsolutions of the Dirac and Duffin–Kemmer–Petiau equations in the interacting case. It is shown that the Dirac equation in longitudinal external fields can be split into two covariant subequations (Dirac equations with built-in projection operators). Moreover, it is demonstrated that the Duffin–Kemmer–Petiau equations in… (More)

- ANDRZEJ OKNIŃSKI
- 2006

Coupled oscillators play an important role in many scientific fields, for example, in mechanics, electronics, and biology; see [1, 4] and references therein. In this paper we analyze two coupled oscillators, one of which is driven by an external periodic force. Important example of such a system is a dynamic vibration absorber which consists of a small… (More)

- Andrzej Okninski, Boguslaw Radziszewski
- 2008

Dynamics near the grazing manifold and basins of attraction for a motion of a material point in a gravitational field, colliding with a moving motion-limiting stop, are investigated. The Poincare map, describing evolution from an impact to the next impact, is derived. Periodic points are found and their stability is determined. The grazing manifold is… (More)

- A. Okninski
- 2009

Non-invertible discrete-time dynamical systems can be derived from group actions. In the present work possibility of application of this method to systems of ordinary differential equations is studied. Invertible group actions are considered as possible candidates for stroboscopic maps of ordinary differential equations. It is shown that a map on SU (2)… (More)

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