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Stabilität bei Systemen mit quasizyklischen Koordinaten
Author(s) -
Otterbein S.,
Hagedorn P.
Publication year - 1983
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.1670050133
Subject(s) - lagrangian , mathematics , motion (physics) , generalized coordinates , stability (learning theory) , lagrangian and eulerian specification of the flow field , classical mechanics , mathematical analysis , physics , computer science , machine learning , eulerian path
Quasicyclic or quasiignorable coordinates occur in mechanical systems with equations of motion of the Lagrangian type and can be interpreted as a generalisation of the well known cyclic or ignorable coordinates. In this paper parts of the theory of cyclic coordinates are extended to quasicyclic coordinates. Especially we present sufficient conditions for the existence of the reduced system and generalize the Routh‐Salvadori theorem about the stability of stationary motions.