Plane Autonomous Systems with Rational Vector Fields

نویسندگان

چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

construction 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 اول

Algebraic Solutions of Plane Vector Fields

We present an algorithm that can be used to check whether a given derivation of the complex affine plane has an algebraic solution and discuss the performance of its implementation in the computer algebra system Singular.

متن کامل

Lie group integrators with non-autonomous frozen vector fields

Lie group methods for nonautonomous semi-discretized in space, partial differential equations are considered. The choice of frozen vector field and its corresponding algebra action on the manifold for such problems is discussed. A new exponential integrator for semilinear problems based on commutator free Lie group methods with algebra action arising from the solutions of differential equations...

متن کامل

Finding rational solutions of rational systems of autonomous ODEs

In this paper we provide an algorithm to find explicitly rational solutions of a rational system of autonomous ordinary differential equations (ODEs) from its invariant algebraic curves. The method is based on the rational parametrization of the rational invariant algebraic curves and intensively using of linear fractional transformations between two proper rational parametrizations of the same...

متن کامل

Deformations of Vector Fields and Hamiltonian Vector Fields on the Plane

For the Lie algebras L\(H(2)) and L\(W(2)), we study their infinitesimal deformations and the corresponding global ones. We show that, as in the case of L\{W(\)), each integrable infinitesimal deformation of L\(H(2)) and L1(W/(2)) can be represented by a 2-cocycle that defines a global deformation by means of a trivial extension. We also illustrate that all deformations of L\{H{2)) arise as res...

متن کامل

ذخیره 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: Transactions of the American Mathematical Society

سال: 1991

ISSN: 0002-9947

DOI: 10.2307/2001769