Asymptotic Decomposition of Differential Systems where Zero Approximation has Special Properties

1995 ◽  
pp. 259-304
Author(s):  
Yu. A. Mitropolsky ◽  
A. K. Lopatin
Keyword(s):  
Zero Approximation ◽  
Asymptotic Decomposition ◽  
Differential Systems

Asymptotic decomposition of differential systems with a small parameter

1987 ◽  
Vol 39 (2) ◽  
pp. 162-170
Author(s):  
Yu. A. Mitropol'skii ◽  
A. K. Lopatin
Keyword(s):  
Small Parameter ◽  
Asymptotic Decomposition ◽  
Differential Systems

scholarly journals REDUCTION OF MATHEMATICAL MODEL OF ROBOT WITH ELASTIC JOINTS

2017 ◽  
Vol 20 (3) ◽  
pp. 20-33
Author(s):  
O.V. Vidilina ◽  
N.V. Voropaeva
Keyword(s):  
Mathematical Model ◽  
Existence And Uniqueness ◽  
Integral Manifold ◽  
Singularly Perturbed ◽  
Slow Movement ◽  
Parameter System ◽  
Asymptotic Decomposition ◽  
Differential Systems ◽  
Small Dissipation ◽  
Elastic Joints

A model of n - joint manipulator with elastic joints with small dissipation is studied. Class of singularly perturbed differential systems that describe the dynamics of robot is singled out. For a given class of systems the existence and uniqueness of integral manifoldness of slow movement is established, its features are studied. It is proved that integral manifold may be constructed with any degree of accuracy as asymptotic decomposition inpowers of small parameter. System that is used to describe movement in manifolds may be used as a reduced model of initial system.

LYAPUNOV VECTORS TREATMENT FOR BIFURCATIONS IN RETARDED DIFFERENTIAL SYSTEMS

1988 ◽  
Vol 49 (C2) ◽  
pp. C2-389-C2-392 ◽  
Author(s):  
M. LE BERRE ◽  
E. RESSAYRE ◽  
A. TALLET ◽  
J. J. ZONDY
Keyword(s):  
Differential Systems

ON INVERSE PROBLEM OF CLOSURE OF DIFFERENTIAL SYSTEMS WITH DEGENERATE DIFFUSION

2019 ◽  
Vol 10 (2) ◽  
pp. 93-102
Author(s):  
M.I. Tleubergenov ◽  
◽  
G.T. Ibraeva ◽  
Keyword(s):  
Inverse Problem ◽  
Degenerate Diffusion ◽  
Differential Systems
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