Overview

Revolutionary and original, this treatise presents a new paradigm of ""emergence"" and ""complexity"", with applications drawn from numerous disciplines, including artificial life, biology, chemistry, computation, physics, image processing, information science, etc. CNN is an acronym for Cellular Neural Networks when used in the context of brain science, or Cellular Nonlinear Networks, when used in the context of emergence and complexity. A CNN is modeled by cells and interactions: cells are defined as dynamical systems and interactions are defined via coupling laws. The CNN paradigm is a universal ""Turing machine"" and includes cellular automata and lattice dynamical systems as special cases. While CNN paradigm is an example of ""reductionism"" par excellence, the true origin of emergence and complexity is traced to a much deeper new concept called local activity. The numerous complex phenomena unified under this mathematically precise principle include self organization, dissipative structures, synergetic, order from disorder, far-from-thermodynamic equilibrium, collective behaviours, edge of chaos, etc. Written with a high level of exposition, this completely self-contained monograph is ill with over 200 colour illustrations of emergent phenomena.

Full Product Details

Author:   Leon O Chua (Univ Of California, Berkeley, Usa)
Publisher:   World Scientific Publishing Co Pte Ltd
Imprint:   World Scientific Publishing Co Pte Ltd
Volume:   31
Dimensions:   Width: 17.80cm , Height: 2.10cm , Length: 26.70cm
Weight:   0.907kg
ISBN:  

9789810234836

ISBN 10:   981023483
Pages:   332
Publication Date:   17 June 1998
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   Out of stock  
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Table of Contents

What is a CNN? standard CNNs - standard CNNs are uniquely- specified by CNN genes; oscillations and chaos from standard CNNs; complete stability criterion for standard CNNs; bistable criterion; coding the CNN gene; a gallery of basic CNN genes; does there exist a CNN gene for solving Minsky's global connectivity problem? decoding the CNN gene; what task can an uncoupled Boolean CNN gene perform? bifurcation of CNN genes; the game-of-life CNN gene; the CNN universal machine; generalized cellular automata; a glimpse at some real-world CNN applications; autonomous CNNs - pattern formation in standard CNNs; pattern formation in reaction-diffusion CNNs; nonlinear waves in reaction-diffusion CNNs; simulating nonlinear PDEs via autonomous CNNs; local activity - the genesis of complexity - transistors and local activity - what do they have in common? nonlinear circuit models for reaction-diffusion CNNs; what is local activity? testing for local activity; why is local activity necessary for pattern formation? how to choose locally-active CNN parameters? local activity and stability are different concepts; the local activity dogma.

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