CNN: A Paradigm for Complexity (World Scientific Series on Nonlinear Science)

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.