Chaotic dynamics and fractals
نویسندگان
چکیده
منابع مشابه
Chaotic Dynamics, Fractals, and Billiards
Chaotic dynamics occur in deterministic systems which display extreme sensitivity on initial conditions. These systems often have attractors which are geometric figures exhibiting affine self-similarity that have non-integer dimension, otherwise known as fractals. We investigated the link between chaos and the eventual fate of a ball on a frictionless elliptical billiards table with one pocket....
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Pseudo-Riemannian geometry is, to a large extent, the study of the Levi-Civita connection, which is the unique torsion-free connection compatible with the metric structure. There are, however, other affine connections which arise in different contexts, such as conformal geometry, contact structures, Weyl structures, and almost Hermitian geometry. In this book, we reverse this point of view and ...
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The concept of self-similarity on subsets of algebraic varieties is defined by considering algebraic endomorphisms of the variety as `similarity' maps. Self-similar fractals are subsets of algebraic varieties which can be written as a finite and disjoint union of `similar' copies. Fractals provide a framework in which, one can unite some results and conjectures in Diophantine g...
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ژورنال
عنوان ژورنال: Applied Mathematical Modelling
سال: 1987
ISSN: 0307-904X
DOI: 10.1016/0307-904x(87)90011-4