Partially hyperbolic fixed points with constraints
نویسندگان
چکیده
منابع مشابه
Partially Hyperbolic Fixed Points with Constraints
We investigate the local conjugacy, at a partially hyperbolic fixed point, of a diffeomorphism (vector field) to its normally linear part in the presence of constraints, where the change of variables also must satisfy the constraints. The main result is applied to vector fields respecting a singular foliation, encountered, by F. Dumortier and R. Roussarie, in the desingularization of families o...
متن کاملInvariant manifolds near hyperbolic fixed points
In these notes we discuss obstructions to the existence of local invariant manifolds in some smoothness class, near hyperbolic fixed points of diffeomorphisms. We present an elementary construction for continuously differentiable invariant manifolds, that are not necessarily normally hyperbolic, near attracting fixed points. The analogous theory for invariant manifolds near hyperbolic equilbria...
متن کاملOn Hyperbolic Fixed Points in Ultrametric Dynamics ∗
Let K be a complete ultrametric field. We give lower and upper bounds for the size of linearization discs for power series overK near hyperbolic fixed points. These estimates are maximal in the sense that there exist examples where these estimates give the exact size of the corresponding linearization disc. In particular, at repelling fixed points, the linearization disc is equal to the maximal...
متن کاملOn some fixed points properties and convergence theorems for a Banach operator in hyperbolic spaces
In this paper, we prove some fixed points properties and demiclosedness principle for a Banach operator in uniformly convex hyperbolic spaces. We further propose an iterative scheme for approximating a fixed point of a Banach operator and establish some strong and $Delta$-convergence theorems for such operator in the frame work of uniformly convex hyperbolic spaces. The results obtained in this...
متن کاملμZ- An Efficient Engine for Fixed Points with Constraints
The μZ tool is a scalable, efficient engine for fixed points with constraints. It supports high-level declarative fixed point constraints over a combination of built-in and plugin domains. The built-in domains include formulas presented to the SMT solver Z3 and domains known from abstract interpretation. We present the interface to μZ, a number of the domains, and a set of examples illustrating...
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: Transactions of the American Mathematical Society
سال: 1996
ISSN: 0002-9947,1088-6850
DOI: 10.1090/s0002-9947-96-01469-9