منابع مشابه
Conjugacy between trapezoid maps
Trapezoid maps are a kind of continuous and piecewise linear maps with a flat top. By the conjugacy relationship, we present a complete classification for four families of trapezoid maps. Firstly, using an extension method, we construct all homeomorphic solutions of conjugacy equation φ ◦ f = g ◦ φ for some non-monotone continuous maps f and g. Secondly, using an iterative construction method a...
متن کاملA Canonical Partition of the Periodic Orbits of Chaotic Maps
We show that the periodic orbits of an area-contracting horseshoe map can be partitioned into subsets of orbits of minimum period k, 2k, 4k, 8k, ..., for some positive integer k. This partition is natural in the following sense: for any parametrized area-contracting map which forms a horseshoe, the orbits in one subset of the partition are contained in a single component of orbits in the full p...
متن کاملComparing Periodic Orbits of Maps of the Interval
Let n and 6 be cyclic permutations of finite ordered sets. We say that n forces 6 if every continuous map of the interval which has a representative of n also has one of 6 . We give a geometric version of Jungreis' combinatorial algorithm for deciding in certain cases whether n forces 9 .
متن کاملPeriodic orbits and topological entropy of delayed maps.
The periodic orbits of a nonlinear dynamical system provide valuable insight into the topological and metric properties of its chaotic attractors. In this paper we describe general properties of periodic orbits of dynamical systems with feedback delay. In the case of delayed maps, these properties enable us to provide general arguments about the boundedness of the topological entropy in the hig...
متن کاملVertex Maps for Trees: Algebra and Periods of Periodic Orbits
Let T be a tree with n vertices. Let f : T → T be continuous and suppose that the n vertices form a periodic orbit under f . The combinatorial information that comes from possible permutations of the vertices gives rise to an irreducible representation of Sn. Using the algebraic information it is shown that f must have periodic orbits of certain periods. Finally, a family of maps is defined whi...
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ژورنال
عنوان ژورنال: Advances in Applied Mathematics
سال: 1993
ISSN: 0196-8858
DOI: 10.1006/aama.1993.1010