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Takens theorem

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  • Takens' theorem — In mathematics, a delay embedding theorem gives the conditions under which a chaotic dynamical system can be reconstructed from a sequence of observations of the state of a dynamical system. The reconstruction preserves the properties of the… …   Wikipedia

  • Floris Takens — (born November 12, 1940) is a Dutch mathematician known for contributions to the theory of chaotic dynamical systems. Together with David Ruelle he predicted that fluid turbulence could develop through a strange attractor, a term they coined, as… …   Wikipedia

  • List of mathematics articles (T) — NOTOC T T duality T group T group (mathematics) T integration T norm T norm fuzzy logics T schema T square (fractal) T symmetry T table T theory T.C. Mits T1 space Table of bases Table of Clebsch Gordan coefficients Table of divisors Table of Lie …   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

  • Recurrence plot — In descriptive statistics and chaos theory, a recurrence plot (RP) is a plot showing, for a given moment in time, the times at which a phase space trajectory visits roughly the same area in the phase space. In other words, it is a graph of… …   Wikipedia

  • Lorenz attractor — The Lorenz attractor, named for Edward N. Lorenz, is a 3 dimensional structure corresponding to the long term behavior of a chaotic flow, noted for its butterfly shape. The map shows how the state of a dynamical system (the three variables of a… …   Wikipedia

  • Hénon map — The Hénon map is a discrete time dynamical system. It is one of the most studied examples of dynamical systems that exhibit chaotic behavior. The Hénon map takes a point ( x , y ) in the plane and maps it to a new point :x {n+1} = y n+1 a x… …   Wikipedia

  • Correlation dimension — In chaos theory, the correlation dimension (denoted by ν) is a measure of the dimensionality of the space occupied by a set of random points, often referred to as a type of fractal dimension.[1][2][3] For example, if we have a set of random… …   Wikipedia

  • Recurrence quantification analysis — (RQA) is a method of nonlinear data analysis (cf. chaos theory) for the investigation of dynamical systems. It quantifies the number and duration of recurrences of a dynamical system presented by its phase space trajectory.BackgroundThe… …   Wikipedia

  • Correlation sum — In chaos theory, the correlation sum is the estimator of the correlation integral, which reflects the mean probability that the states at two different times are close: where N is the number of considered states , ε is a threshold distance, a… …   Wikipedia

  • Correlation integral — In chaos theory, the correlation integral is the mean probability that the states at two different times are close: where N is the number of considered states , ε is a threshold distance, a norm (e.g. Euclidean norm) and …   Wikipedia

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