Domain structured dynamics : unpredictability, chaos, randomness, fractals, differential equations and neural networks /
Domain structured dynamics introduces a way for analysis of chaos in fractals, neural networks and random processes. It starts with newly invented abstract similarity sets and maps, which are in the basis of the abstract similarity dynamics. Then a labeling procedure is designed to determine the dom...
Clasificación: | Libro Electrónico |
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Autor principal: | |
Formato: | Electrónico eBook |
Idioma: | Inglés |
Publicado: |
Bristol [England] (Temple Circus, Temple Way, Bristol BS1 6HG, UK) :
IOP Publishing,
[2021]
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Colección: | IOP (Series). Release 21.
IOP ebooks. 2021 collection. |
Temas: | |
Acceso en línea: | Texto completo |
Sumario: | Domain structured dynamics introduces a way for analysis of chaos in fractals, neural networks and random processes. It starts with newly invented abstract similarity sets and maps, which are in the basis of the abstract similarity dynamics. Then a labeling procedure is designed to determine the domain structured dynamics. The results follow the Pythagorean doctrine, considering finite number of indices for the labeling, with potential to become universal in future. The immediate power of the approach for fractals as domains of chaos, revisited famous deterministic and stochastic models, new types of differential equations and neural networks is seen in the book. This is not considered through widening areas, where the notions can be seen and recognized, but by deepening abstraction. |
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Notas: | "Version: 202108"--Title page verso. |
Descripción Física: | 1 online resource (various pagings) : illustrations (some color). Also available in print. |
Público: | Specialists in nonlinear dynamics, differential and discrete equations, chaos theory, fractal geometry and applications. Engineers, experts in industrial development of all kinds: electronics, chemistry, mechanics, control and optimization. |
Bibliografía: | Includes bibliographical references. |
ISBN: | 9780750335072 9780750335065 |