Integrability and nonintegrability in terms of transcendental functions in dynamics of a rigid body | Zendy

Shamolin Maxim V. | Zendy

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Integrability and nonintegrability in terms of transcendental functions in dynamics of a rigid body

Author(s) -

Shamolin Maxim V.

Publication year - 2010

Publication title -

pamm

Language(s) - English

Resource type - Journals

ISSN - 1617-7061

DOI - 10.1002/pamm.201010024

Subject(s) - transcendental number , motion (physics) , transcendental equation , rigid body dynamics , rigid body , dynamics (music) , transcendental function , mathematics , classical mechanics , work (physics) , calculus (dental) , physics , mathematical analysis , numerical analysis , quantum mechanics , acoustics , medicine , dentistry

The results of the presented work are due to the study of the applied problem of the rigid body motion in a resisting medium. More earlier the complete lists of transcendental first integrals expressed through a finite combination of elementary functions were obtained. This circumstance allowed the author to perform a complete analysis of all phase trajectories and highlight those properties of them which exhibit the roughness and preserve for systems of a more general form. (© 2010 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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