Degeneration of quadratic polynomial endomorphisms to a Henon map
نویسندگان
چکیده
منابع مشابه
extensions of some polynomial inequalities to the polar derivative
توسیع تعدادی از نامساوی های چند جمله ای در مشتق قطبی
15 صفحه اولEndomorphisms of Polynomial Rings ; the Jacobian Conjecture
The Jacobian Conjecture is established : If f1, · · · , fn be elements in a polynomial ring k[X1, · · · , Xn] over a field k of characteristic zero such that det(∂fi/∂Xj) is a nonzero constant, then k[f1, · · · , fn] = k[X1, · · · , Xn]. Let k be an algebraically closed field, let k be an affine space of dimension n over k and let f : k −→ k be a morphism of algebraic varieties. Then f is given...
متن کاملEndomorphisms of Polynomial Rings with Invertible Jacobians
The Jacobian Conjecture is established : Let T be a polynomial ring over a field k of characteristic zero in finitely may variables. Let S be a k-subalgebra of T such that T is unramified over S. Then T = S. Let k be an algebraically closed field, let k be an affine space of dimension n over k and let f : k −→ k be a morphism of algebraic varieties. Then f is given by coordinate functions f1, ....
متن کاملEndomorphisms of Polynomial Rings and Jacobians
The Jacobian Conjecture is established : If f1, · · · , fn be elements in a polynomial ring k[X1, · · · , Xn] over a field k of characteristic zero such that det(∂fi/∂Xj) is a nonzero constant, then k[f1, · · · , fn] = k[X1, · · · , Xn]. Let k be an algebraically closed field, let k be an affine space of dimension n over k and let f : k −→ k be a morphism of algebraic varieties. Then f is given...
متن کاملChaos of Henon Map Based on the Coupled Networks
In this paper, the relationship between the parameters of Henon map is studied, and the chaos of Henon map is also discussed based on different coupled networks. From the simulate results, we found with the increasing of parameter a the chaos of Henon map will be emerged. At the same time, the transition from non-chaotic to chaotic in coupled networks is exhibited, although the parameters in no...
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: Indiana University Mathematics Journal
سال: 2020
ISSN: 0022-2518
DOI: 10.1512/iumj.2020.69.8092