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Floquét‐Theory for Differential‐Algebraic Equations (DAE)
Author(s) -
Lamour René
Publication year - 1998
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.19980781564
Subject(s) - ode , mathematics , generalization , ordinary differential equation , constant (computer programming) , algebraic number , nonlinear system , transformation (genetics) , lyapunov function , stability (learning theory) , mathematical analysis , pure mathematics , differential equation , algebra over a field , computer science , physics , biochemistry , chemistry , quantum mechanics , machine learning , gene , programming language
Abstract The Theorem of Lyapunov says that, in case of a periodic ODE, there exists a transformation to an ODE with constant matrices. This fact is very useful in stability investigations of nonlinear ODEs, too. The generalization of ODE‐Floquét theory to index 1 and index 2 DAEs is given using an adapted transformation concept.