Global solvability of real analytic complex vector fields in two variables
نویسندگان
چکیده
منابع مشابه
A Note on Global Solvability of Vector Fields
We consider global solvability of complex vector fields on noncompact manifolds. The case of real vector fields had been considered by Malgrange, and Hörmander studied the complex case, assuming that the real and imaginary parts are everywhere linearly independent. 1. We consider a smooth complex vector field L = X + iY without zeros on a smooth, paracompact, noncompact manifold M. The real vec...
متن کاملTwo-dimensional global manifolds of vector fields.
We describe an efficient algorithm for computing two-dimensional stable and unstable manifolds of three-dimensional vector fields. Larger and larger pieces of a manifold are grown until a sufficiently long piece is obtained. This allows one to study manifolds geometrically and obtain important features of dynamical behavior. For illustration, we compute the stable manifold of the origin spirall...
متن کاملconstruction of vector fields with positive lyapunov exponents
in this thesis our aim is to construct vector field in r3 for which the corresponding one-dimensional maps have certain discontinuities. two kinds of vector fields are considered, the first the lorenz vector field, and the second originally introced here. the latter have chaotic behavior and motivate a class of one-parameter families of maps which have positive lyapunov exponents for an open in...
15 صفحه اولGrowth analysis of entire functions of two complex variables
In this paper, we introduce the idea of generalized relative order (respectively generalized relative lower order) of entire functions of two complex variables. Hence, we study some growth properties of entire functions of two complex variables on the basis of the definition of generalized relative order and generalized relative lower order of entire functions of two complex variables.
متن کاملIntegration of Complex Vector Fields
(1.3) Lku = 0, k = 1,. . . , m. Any function u satisfying all the above equations must also satisfy the equations (1.4) [Lk9 Lh]u = LkLhu LhLku = 0. Thus it is reasonable to assume that the space spanned by the vector fields Lu..., Lm is closed under the bracket operation. Condition A. This condition is satisfied if (1.5) [Lk,IJ = I 4 ^ j where the a^6C°°((7). From (1.2) we obtain [Lk,Lh]u = Lk...
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: 2011
ISSN: 0022-0396
DOI: 10.1016/j.jde.2011.05.014