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JOURNALS // Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences // Archive

Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 2011 Issue 1(22), Pages 134–139 (Mi vsgtu895)

This article is cited in 4 papers

Procedings of the 2nd International Conference "Mathematical Physics and its Applications"
Mathematical Physics

On classical and functional approachs to mechanics

E. V. Piskovskiy

Moscow Institute of Physics and Technology, Faculty of Control and Applied Mathematics, Dolgoprudniy, Moskovskaya obl.

Abstract: In this paper the relevance of the classical trajectory of the anharmonic oscillator and the average trajectory obtained within the functional approach is considered. Dependence of threshold time of divergence of trajectories on dispersion of initial values is derived.

Keywords: functional mechanics, classical mechanics, model system, anharmonic oscillator, threshold time.

UDC: 517.958

MSC: 82C05

Original article submitted 21/XII/2010
revision submitted – 27/II/2011

DOI: 10.14498/vsgtu895


 English version:
DOI: 10.1134/S2070046611030095

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