Linear Grading Function and Further Reduction of Normal Forms
نویسندگان
چکیده
منابع مشابه
Algorithmic reduction of Normal Forms
We present an algorithmic procedure to further reduce (Poincar e) Normal Forms; we give both general results and methods, and a concrete application.
متن کاملReduction and Normal Forms of Matrix Pencils
Matrix pencils, or pairs of matrices, may be used in a variety of applications. In particular, a pair of matrices (E,A) may be interpreted as the differential equation Ex′ + Ax = 0. Such an equation is invariant by changes of variables, or linear combination of the equations. This change of variables or equations is associated to a group action. The invariants corresponding to this group action...
متن کاملon the effect of linear & non-linear texts on students comprehension and recalling
چکیده ندارد.
15 صفحه اولFurther Reductions of Normal Forms for Dynamical Systems
We propose in this paper a method for obtaining a significant refinement of normal forms for dynamical systems or vector fields, with concrete and interesting applications. We use lower order nonlinear terms in the normal form for the simplifications of higher order terms. Our approach is applicable for both the non nilpotent and the nilpotent cases. For dynamical systems of dimensions 2 and 3 ...
متن کاملFurther Reductions of Poincaré-dulac Normal Forms in C
In this paper, we will consider (germs of) holomorphic mappings of the form (f(z), λ1w1(1 + g1(z)), . . . , λnwn(1 + gn(z))), defined in a neighborhood of the origin in Cn+1. Most of our interest is in those mappings where f(z) = z+ amz + · · · is a germ tangent to the identity and gi(0) = 0 for i = 1, . . . , n, and λi ∈ C possess no resonances, for these are the so-called PoincaréDulac normal...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Differential Equations
سال: 1996
ISSN: 0022-0396
DOI: 10.1006/jdeq.1996.0181