Formal first integrals for periodic systems
نویسندگان
چکیده
منابع مشابه
Stabilization of positive systems with first integrals
Positive systems possessing %rst integrals are considered. These systems frequently occur in applications. This paper is devoted to two stabilization problems. The %rst is concerned with the design of feedbacks to stabilize a given level set. Secondly, it is shown that the same feedback allows to globally stabilize an equilibrium point if it is asymptotically stable with respect to initial cond...
متن کاملPolynomial First Integrals of Polynomial Differential Systems
In this paper we shall primarily study polynomial integrability of the differential system ẋ = −y + Pn(x, y), ẏ = x + Qn(x, y), n = 2, 3, where Pn and Qn are homogeneous polynomials of degree n. By taking various yet very elementary ways, we not only straightforwardly find the necessary and sufficient integrability conditions but also explicitly present the corresponding polynomial first integr...
متن کاملLiouvillian First Integrals for Generalized Liénard Polynomial Differential Systems
We study the Liouvillian first integrals for the generalized Liénard polynomial differential systems of the form x′ = y, y′ = −g(x) − f(x)y, where g(x) and f(x) are arbitrary polynomials such that 2 ≤ deg g ≤ deg f .
متن کاملDetermining Liouvillian first integrals for dynamical systems in the plane
Here we present/implement an algorithm to find Liouvillian first integrals of dynamical systems in the plane. In [1], we have introduced the basis for the present implementation. The particular form of such systems allows reducing it to a single rational first order ordinary differential equation (rational first order ODE). We present a set of software routines in Maple 10 for solving rational ...
متن کاملPolynomial First integrals for the Chen and Lü Systems
where a, b, c ∈ R are parameters is known as the Chen system [Chen & Ueta, 1999]. It exhibits chaotic phenomena which resembles some familiar features from both the Lorenz and the Rössler attractors, for suitable choices of the parameters. Despite of its similar structure to the Lorenz system, it is not topologically equivalent. This is why Lü and Chen investigated the real differential system
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 Mathematical Analysis and Applications
سال: 2010
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2009.12.049