This book is written for all engineers, graduate students and beginners working in the application fields, and for experimental scientists in general. It is not presented as a purely theoretical treatise but shows mathematics at a workshop, so to speak, through important applications originating in a deep pure mathematical theory. Widely spread subjects which the author has encountered hitherto are briefly addressed in the book, as chaos and fractal science is a frontier of new research fields nowadays.
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Inside This Book
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First Sentence:
Since an invention of the name of fractal , Mandelbrot's fractal geometry has revolutionized the application of non-Euclidean geometric concepts to the natural sciences [I.1.1]. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
fractance device, average learning epochs, local fractal properties, chaos neurons, autoassociation process, decreasing periodic function, fractal dimensiont, memory search model, synergetic neural network, fractance circuit, transient chaotic state, increasing periodic function, sinusoidal activation function, monotonous mapping, critical exponent method, autoassociative model, initial input vector, chaos neural network, generalised inverse matrix, learning success rate, periodic mapping, initial input states, periodicity control, recognition parameter, complicated vocal Key Phrases - Capitalized Phrases (CAPs): (learn more)
Hong Kong, Mean of Learning Epochs, San Francisco, Biological Cybernetics, Journal Physical Society of Japan, Journal of Physical Society of Japan, Learning Curve, Plenum Press, Information Theory, International Conference, Manchester Univ, Physics Letters, World Scientific, Learning Property, Mathematical Biosciences, Output Neuron, The Science of Fractal Images, Chaos Associative Memory, John Wiley, Physical Review Letters, Substituting Eqs New!
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Front Cover | Front Flap | Table of Contents | First Pages | Back Flap | Back Cover | Surprise Me!
Since an invention of the name of fractal , Mandelbrot's fractal geometry has revolutionized the application of non-Euclidean geometric concepts to the natural sciences [I.1.1]. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
fractance device, average learning epochs, local fractal properties, chaos neurons, autoassociation process, decreasing periodic function, fractal dimensiont, memory search model, synergetic neural network, fractance circuit, transient chaotic state, increasing periodic function, sinusoidal activation function, monotonous mapping, critical exponent method, autoassociative model, initial input vector, chaos neural network, generalised inverse matrix, learning success rate, periodic mapping, initial input states, periodicity control, recognition parameter, complicated vocal Key Phrases - Capitalized Phrases (CAPs): (learn more)
Hong Kong, Mean of Learning Epochs, San Francisco, Biological Cybernetics, Journal Physical Society of Japan, Journal of Physical Society of Japan, Learning Curve, Plenum Press, Information Theory, International Conference, Manchester Univ, Physics Letters, World Scientific, Learning Property, Mathematical Biosciences, Output Neuron, The Science of Fractal Images, Chaos Associative Memory, John Wiley, Physical Review Letters, Substituting Eqs New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Front Flap | Table of Contents | First Pages | Back Flap | Back Cover | Surprise Me!
Citations (learn more)
This book cites 13
books:
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- Neurocomputers and Attention: Connectionism and Neurocomputers Vol II (Proceedings in nonlinear science) by Arun V. Holden on 4 pages
- The Science of Fractal Images by Heinz-Otto Peitgen on 4 pages
- The Fractal Geometry of Nature by Benoit B. Mandelbrot on page 25, page 65, and page 879
- Chaotic Dynamics of Nonlinear Systems by S. Neil Rasband on page 197, and page 646
- Matrix Theory, Vol. 2 by Felix R. Gantmacher on page 693, and page 743
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