On finite limit sets for transformations on the unit interval
TLDR
An infinite sequence of finite or denumerable limit sets is found for a class of many-to-one transformations of the unit interval into itself and the structure and order of occurrence is universal for the class.About:
This article is published in Journal of Combinatorial Theory, Series A.The article was published on 1973-07-01 and is currently open access. It has received 521 citations till now. The article focuses on the topics: Limit superior and limit inferior & Limit (mathematics).read more
Citations
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On A Comprehensive Topological Analysis of Moore Spiegel attractor
Anirban Ray,Asesh Roy Chowdhury +1 more
Book ChapterDOI
Chaotic Behaviours Observed in Homogeneous Chemical Systems
TL;DR: In this paper, an overview of the main results obtained over the past four years is presented in what follows, and some still unanswered questions and try to guess how the future could look in this field of experimental research.
Posted Content
A High Accuracy Stochastic Estimation of a Nonlinear Deterministic Model
TL;DR: A stochastic model with extremely small variances is introduced so that the deterministic and Stochastic models are essentially indistinguishable from each other.
Journal ArticleDOI
The deconstruction of a fractal
TL;DR: In this paper , the structure and morphology of MSS-sequences (shift-maximal) that appear in bifurcation diagrams of a wide class of unimodal maps are investigated.
Journal ArticleDOI
Bifurcations in a one-parameter family of Lotka-Volterra 2D transformations
Laura Gardini,Wirot Tikjha +1 more
TL;DR: In this paper, it was shown that even if the stable set of the origin O includes a set dense in an invariant area, the only homoclinic points of O belong to the x − axis, as well as the cycles leading to heterocliic connections, while many internal cycles are snap-back repellers.
References
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Book
Non-linear transformation studies on electronic computers
P. R. Stein,Stanisław Ulam +1 more
TL;DR: In this paper, the properties of non-linear transformations in Euclidean spaces are examined, and the invariant points, finite sets, and invariant subsets of the transformations and the means for obtaining them constructively are considered.
Journal ArticleDOI
Eine Bemerkung über die Gruppe der topologischen Abbildungen der Kreislinie auf sich selbst
Józef Schreier,Stanislaw M. Ulam +1 more
Journal ArticleDOI