Open AccessGeneralized submersiveness of second-order ordinary differential equations
Author(s) -
W. Sarlet,
G. E. Prince,
M. Crampin
Publication year - 2009
Publication title -
the journal of geometric mechanics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.511
H-Index - 17
eISSN - 1941-4897
pISSN - 1941-4889
DOI - 10.3934/jgm.2009.1.209
Subject(s) - mathematics , lift (data mining) , decoupling (probability) , ordinary differential equation , order (exchange) , tangent , mathematical analysis , differential equation , integrating factor , distribution (mathematics) , reduction of order , differential algebraic equation , computer science , geometry , data mining , finance , control engineering , engineering , economics
We generalize the notion of submersive second-order differential equations by relaxing the condition that the decoupling stems from the tangent lift of a basic distribution. It is shown that this leads to adapted coordinates in which a number of first-order equations decouple from the remaining second-order ones
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