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eBook Fractional Analysis: Methods of Motion Decomposition download

by I.V. Novozhilov

eBook Fractional Analysis: Methods of Motion Decomposition download ISBN: 081763889X
Author: I.V. Novozhilov
Publisher: Birkhäuser; 1997 edition (June 1, 1997)
Language: English
Pages: 232
ePub: 1701 kb
Fb2: 1485 kb
Rating: 4.3
Other formats: docx azw mobi txt
Category: Math Sciences
Subcategory: Mathematics

This book considers methods of approximate analysis of mechanical, elec­ tromechanical, and other systems described by ordinary differential equa . Methods of Motion Decomposition. Authors: Novozhilov, . price for USA in USD (gross).

This book considers methods of approximate analysis of mechanical, elec­ tromechanical, and other systems described by ordinary differential equa­ tions. Modern mathematical modeling of sophisticated mechanical systems consists of several stages: first, construction of a mechanical model, and then.

Fractional Analysis book. Start by marking Fractional Analysis: Methods of Motion Decomposition as Want to Read: Want to Read savin. ant to Read.

IV Decomposition of motion in systems with boundary layer. oceedings{onalAM, title {Fractional Analysis: Methods of Motion Decomposition}, author {Igor V. Novozhilov}, year {1997} }. Igor V. Novozhilov. 11 Tikhonov theorem. I Dimensional analysis and small parameters. 1 Dimensional analysis. . The main concepts of dimensional analysis. Transformations in dimensional analysis. 2 Introduction of small parameters. Normalization of equations of motion. Variants of small parameter introduction. Regular and singular perturbations with respect to the small parameter.

Автор: Novozhilov . Fractional analysis is used as a mathematical tool of the proposed method.

Book's title: Fractional Analysis Elektronische Ressource Methods of Motion Decomposition. This book considers methods of approximate analysis of mechanical, elec­ tromechanical, and other systems described by ordinary differential equa­ tions. International Standard Book Number (ISBN): 9781461241300, Online 978-1-4612-4130-0. Modern mathematical modeling of sophisticated mechanical systems consists of several stages: first, construction of a mechanical model, and then writing appropriate equations and their analytical or numerical ex­ amination. Usually, this procedure is repeated several times.

The fractional equation of motions. are derived from Fractional Hamiltonian. The Hamiltonian formulation of non-conservative systems. An interactive tool for mobile robot motion planning. developed by Riewe F. Riewe (1996, 1997);the fractional. derivative R. Hilfer (2000); S. G. Samko (1993); I. Pod-. lubny (2002) he use to construct the Lagrangian and. Hamiltonian for non-conservative systems. May 2008 · Robotics and Autonomous Systems.

Created the methodology of Fractional Analysis, which combines the methods of dimension theory and methods of asymptotic motion decomposition. Fractional Analysis was used for approximate mathematical modelling of sophisticated controllable systems. Proposed the two-step method for analysis of stability of many-dimensional systems with symmetry. Proposed the methodology of discontinuous systems defining.

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Decomposition method is a generic term for solutions of various problems and design of algorithms in which the basic idea is to decompose the problem into subproblems. The term may specifically refer to one of the following

Decomposition method is a generic term for solutions of various problems and design of algorithms in which the basic idea is to decompose the problem into subproblems. The term may specifically refer to one of the following. Decomposition method (constraint satisfaction) in constraint satisfaction. Decomposition method in multidisciplinary design optimization. Adomian decomposition method, a non-numerical method for solving nonlinear differential equations.

This book considers methods of approximate analysis of mechanical, elec­ tromechanical, and other systems described by ordinary differential equa­ tions. Modern mathematical modeling of sophisticated mechanical systems consists of several stages: first, construction of a mechanical model, and then writing appropriate equations and their analytical or numerical ex­ amination. Usually, this procedure is repeated several times. Even if an initial model correctly reflects the main properties of a phenomenon, it de­ scribes, as a rule, many unnecessary details that make equations of motion too complicated. As experience and experimental data are accumulated, the researcher considers simpler models and simplifies the equations. Thus some terms are discarded, the order of the equations is lowered, and so on. This process requires time, experimentation, and the researcher's intu­ ition. A good example of such a semi-experimental way of simplifying is a gyroscopic precession equation. Formal mathematical proofs of its admis­ sibility appeared some several decades after its successful introduction in engineering calculations. Applied mathematics now has at its disposal many methods of approxi­ mate analysis of differential equations. Application of these methods could shorten and formalize the procedure of simplifying the equations and, thus, of constructing approximate motion models. Wide application of the methods into practice is hindered by the fol­ lowing. 1. Descriptions of various approximate methods are scattered over the mathematical literature. The researcher, as a rule, does not know what method is most suitable for a specific case. 2.