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In mathematics, a chaotic map is a map (an evolution function) that exhibits some sort of chaotic behavior. Maps may be parameterized by a discrete-time or a continuous-time parameter. Discrete maps usually take the form of iterated functions. Chaotic maps often occur in the study of dynamical systems.
These maps are quasisymmetric, although they are a much narrower subclass of quasisymmetric maps. For example, while a general quasisymmetric map in the complex plane could map the real line to a set of Hausdorff dimension strictly greater than one, a δ-monotone will always map the real line to a rotated graph of a Lipschitz function L:ℝ → ...
Kneading theory provides an effective calculus for describing the qualitative behavior of the iterates of a piecewise monotone mapping f of a closed interval I of the real line into itself. Some quantitative invariants of this discrete dynamical system , such as the lap numbers of the iterates and the Artin–Mazur zeta function of f are ...
In the mathematical field of numerical analysis, monotone cubic interpolation is a variant of cubic interpolation that preserves monotonicity of the data set being interpolated. Monotonicity is preserved by linear interpolation but not guaranteed by cubic interpolation .
The space mapping technique has been applied in a variety of disciplines including microwave and electromagnetic design, civil and mechanical applications, aerospace engineering, and biomedical research. Some examples: Optimizing aircraft wing curvature [17] Automotive crashworthiness design [18] [19] EEG source analysis [20] [21]
The Engineering Research Center for Collaborative Adaptive Sensing of the Atmosphere (CASA) is a National Science Foundation Engineering Center. The Center brings together a multidisciplinary group of engineers, computer scientists, meteorologists, sociologists, graduate and undergraduate students, as well as industry and government partners to conduct fundamental research, develop enabling ...
Richat Structure by Shuttle Radar Topography Mission (SRTM). Instead of being a meteorite impact, the landform is more likely to be a collapsed dome fold structure.. Remote sensing is used in the geological sciences as a data acquisition method complementary to field observation, because it allows mapping of geological characteristics of regions without physical contact with the areas being ...
The NSF Engineering Research Center for Wireless Integrated Microsystems (ERC WIMS) was formed in 2000 in Michigan — through the collaboration of the University of Michigan (UM), Michigan State University (MSU), and Michigan Technological University. The center is funded by the National Science Foundation.