Floquét‐Theory for Differential‐Algebraic Equations (DAE) | Zendy

Lamour René | Zendy

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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

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.

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