منابع مشابه
Topology Proceedings NONSINGULAR SMALE FLOWS IN THE 3-SPHERE WITH ONE ATTRACTOR AND ONE REPELLER
The aim of this paper is to show that any two knots can be realized as an attractor and repeller pair for some nonsingular Smale flow on S with any linking number. We view this as progress, albeit limited, to the conjecture that all two component links can be realized as an attractorrepeller pair in a nonsingular Smale flow on S with just one other basic set of saddle type.
متن کاملNonsingular Smale Flows in the 3-sphere with One Attractor and One Repeller: under Revision
The aim of this paper is to show that any two knots can be realized as an attractor and repeller pair for some nonsingular Smale flow on S with any linking number. We view this as progress, albeit limited, to the conjecture that all two component links can be realized as an attractor-repeller pair in a nonsingular Smale flow on S with just one other basic set of saddle type.
متن کاملRealizing Full N-shifts in Simple Smale Flows
Smale flows on 3-manifolds can have invariant saddle sets that are suspensions of shifts of finite type. We look at Smale flows with chain recurrent sets consisting of an attracting closed orbit a, a repelling closed orbit r and a saddle set that is a suspension of a full n-shift and draw some conclusions about the knotting and linking of a ∪ r. For example, we show for all values of n it is po...
متن کاملFurther Study of Simple Smale Flows Using Four Band Templates
In this paper, we discuss how to realize a non singular Smale flow with a four band template on 3-sphere. This extends the work done by the second author on Lorenz Smale flows, Bin Yu on realizing Lorenz Like Smale flows on 3-manifold and continues the work of Elizabeth Haynes and the second author on realizing simple Smale flows with a different four band template on 3-sphere.
متن کاملWell-approximable Angles and Mixing for Flows on T with Nonsingular Fixed Points
We consider special flows over circle rotations with an asymmetric function having logarithmic singularities. If some expressions containing singularity coefficients are different from any negative integer, then there exists a class of well-approximable angles of rotation such that the special flow over the rotation of this class is mixing. Examples of smooth flows on a two-dimensional torus wi...
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ژورنال
عنوان ژورنال: Topology
سال: 1985
ISSN: 0040-9383
DOI: 10.1016/0040-9383(85)90002-3