Iterated Systems

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• Iterated function — In mathematics, iterated functions are the objects of deep study in computer science, fractals and dynamical systems. An iterated function is a function which is composed with itself, repeatedly, a process called iteration.DefinitionThe formal… …   Wikipedia

• Iterated monodromy group — In geometric group theory and dynamical systems the iterated monodromy group of a covering map is a group describing the monodromy action of the fundamental group on all iterations of the covering. It encodes the combinatorics and symbolic… …   Wikipedia

• Iterated function system — In mathematics, iterated function systems or IFSs are a method of constructing fractals; the resulting constructions are always self similar.IFS fractals as they are normally called can be of any number of dimensions, but are commonly computed… …   Wikipedia

• Universality (dynamical systems) — In statistical mechanics, universality is the observation that there are properties for a large class of systems that are independent of the dynamical details of the system. Systems that display universality tend to be chaotic and often have a… …   Wikipedia

• Combinatorics and dynamical systems — The mathematical disciplines of combinatorics and dynamical systems interact in a number of ways. The ergodic theory of dynamical systems has recently been used to prove combinatorial theorems about number theory which has given rise to the field …   Wikipedia

• List of dynamical systems and differential equations topics — This is a list of dynamical system and differential equation topics, by Wikipedia page. See also list of partial differential equation topics, list of equations. Contents 1 Dynamical systems, in general 2 Abstract dynamical systems 3 …   Wikipedia

• Complex base systems — In arithmetic, a complex base system is a positional numeral system whose radix is an imaginary (proposed by Donald Knuth in 1955[1][2]) or complex number (proposed by S. Khmelnik in 1964[3] and Walter F. Penney in 1965[4] …   Wikipedia

• Fractal compression — is a lossy image compression method using fractals to achieve high levels of compression. The method is best suited for photographs of natural scenes (trees, mountains, ferns, clouds). The fractal compression technique relies on the fact that in… …   Wikipedia

• Compresión fractal — La compresión fractal es un método de compresión con pérdida para imágenes digitales, basado en fractales. El método es el más apropiado para texturas e imágenes naturales, basándose en el hecho de que partes de una imagen, a menudo, se parecen a …   Wikipedia Español

• Topological conjugacy — In mathematics, two functions are said to be topologically conjugate to one another if there exists a homeomorphism that will conjugate the one into the other. Topological conjugacy is important in the study of iterated functions and more… …   Wikipedia

• Logistic map — The logistic map is a polynomial mapping of degree 2, often cited as an archetypal example of how complex, chaotic behaviour can arise from very simple non linear dynamical equations. The map was popularized in a seminal 1976 paper by the… …   Wikipedia