RESONANT NORMAL FORMS AS CONSTRAINED LINEAR SYSTEMS
نویسندگان
چکیده
منابع مشابه
Resonant normal forms as constrained linear systems
We show that a nonlinear dynamical system in Poincaré-Dulac normal form (in R) can be seen as a constrained linear system; the constraints are given by the resonance conditions satisfied by the spectrum of (the linear part of) the system and identify a naturally invariant manifold for the flow of the “parent” linear system. The parent system is finite dimensional if the spectrum satisfies only ...
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In the linear system Ax = b the points x are sometimes constrained to lie in a given subspace S of column space of A. Drazin inverse for any singular or nonsingular matrix, exist and is unique. In this paper, the singular consistent or inconsistent constrained linear systems are introduced and the effect of Drazin inverse in solving such systems is investigated. Constrained linear system arise ...
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in the linear system ax = b the points x are sometimes constrained to lie in a given subspace s of column space of a. drazin inverse for any singular or nonsingular matrix, exist and is unique. in this paper, the singular consistent or inconsistent constrained linear systems are introduced and the effect of drazin inverse in solving such systems is investigated. constrained linear system arise ...
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The geometrical and dynamical properties of area preserving maps in the neighborhood of an elliptic xed point are analyzed in the framework of resonant normal forms. The interpolating ow is not obtained from a map tangent to the identity, but from the normal form of the given map and a time independent interpolating hamiltonian H is introduced. On this hamiltonian the local stability properties...
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ژورنال
عنوان ژورنال: Modern Physics Letters A
سال: 2002
ISSN: 0217-7323,1793-6632
DOI: 10.1142/s0217732302006825