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Čaplygin's Theorem of the Reducing Multiplier in Poincaré‐Četaev Variables
Author(s) -
Ghori Q. K.
Publication year - 1976
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.19760560404
Subject(s) - multiplier (economics) , mathematics , nonholonomic system , poincaré conjecture , dynamical systems theory , kelvin–stokes theorem , pure mathematics , mathematical analysis , brouwer fixed point theorem , computer science , danskin's theorem , physics , fixed point theorem , robot , economics , mobile robot , artificial intelligence , quantum mechanics , macroeconomics
The well‐known theorem of the reducing multiplier is extended to nonholonomic dynamical systems the equations of motion of which are expressed in Poincaré‐Četaev variables. The procedure provided by the theorem is illustrated by an example.