Some smooth maps with infinitely many hyperbolic periodic points
نویسندگان
چکیده
منابع مشابه
An Example of Infinitely Many Sinks for Smooth Interval Maps
We show, for arbitrary > 0, the existence of a C2− unimodal interval map with infinitely many sinks outside a neighbourhood of the critical point. It is known that such C2 maps do not exist.
متن کاملContinuous Maps of the Circle with Finitely Many Periodic Points
Let f be a continuous map of the circle into itself . The main purpose of this paper is to study the properties of the unstable manifold associated to a periodic point of f . Let 2(f) denote the nonwandering set of f . Suppose f has finitely many periodic points . Then, using the unstable manifolds associated to periodic points of f, three theorems are proved providing complete answers to the f...
متن کاملOn smooth maps with finitely many critical points
We consider manifolds M which admit smooth maps into a connected sum of S × S with only finitely many critical points, for n ∈ {2, 4, 8}, and compute the minimal number of critical points.
متن کاملAffine Curves with Infinitely Many Integral Points
Let C ⊂ An be an irreducible affine curve of (geometric) genus 0 defined by a finite family of polynomials having integer coefficients. In this note we give a necessary and sufficient condition for C to possess infinitely many integer points, correcting a statement of J. H. Silverman (Theoret. Comput. Sci., 2000). Let C be an irreducible affine curve of (geometric) genus 0 in the affine space A...
متن کاملExistence of Infinitely Many Elliptic Periodic Orbits in Four-Dimensional Symplectic Maps with a Homoclinic Tangency
We study the problem of coexistence of a countable number of periodic orbits of different topological types (saddles, saddle–centers, and elliptic) in the case of four-dimensional symplectic diffeomorphisms with a homoclinic trajectory to a saddle–focus fixed point.
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: 1977
ISSN: 0002-9947
DOI: 10.1090/s0002-9947-1977-0436221-3