This book is a compilation of the review papers, expositions and some of the technical works of Leo Kadanoff, a theoretical physicist. The objective is to put together a group of not-too-technical writing in which he discusses some issues in condensed matter physics, hydro-dynamics, applied mathematics and national policy.

This expanded edition is divided into five sections. The first section contains review papers on hydrodynamics, condensed matter physics and field theory. Next is a selection of papers on scaling and universality, particularly as applied to phase changes. A change of pace...

A compilation of review papers, exposition and technical works of Leo Kadanoff, a theoretical physicist, the aim of this text is to provide not-too-technical writing in which he discusses some issues in condensed matter physics, hydrodynamics, applied mathematics and national policy. The book is divided into five sections. The first section contains review papers on hydrodynamics, condensed matter physics and field theory. Next is a selection of papers on scaling and universality, particularly as applied to phase changes. A change of pace is provided by a series of papers on the critical...

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...

Bifurcation and chaos has dominated research in nonlinear dynamics for over two decades, and numerous introductory and advanced books have been published on this subject. There remains, however, a dire need for a textbook which provides a pedagogically appealing yet rigorous mathematical bridge between these two disparate levels of exposition. This book has been written to serve that unfulfilled need.

Following the footsteps of Poincare, and the renowned Andronov school of nonlinear oscillations, this book focuses on the qualitative study of high-dimensional nonlinear dynamical systems....

A crowd-mind emerges when formation of a crowd causes fusion of individual minds into one collective mind. Members of the crowd lose their individuality. The deindividuation leads to derationalization: emotional, impulsive and irrational behavior, self-catalytic activities, memory impairment, perceptual distortion, hyper-responsiveness, and distortion of traditional forms and structures. This book presents unique results of computational studies on cognitive and affective space-time processes in large-scale collectives of abstract agents being far from mental equilibrium. Computational...

This volume is intended to help graduate-level students of continuum mechanics become more proficient in its applications through the solution of analytical problems. Published as two separate books - part 1 on basic theory and problems with part 2 providing solutions to the problems - professors may also find it quite useful in preparing their lectures and examinations. Part 1 includes a brief theoretical treatment for each of the major areas of continuum mechanics (fluid mechanics, thermodynamics, elastic and inelastic solids, electricity, dimensional analysis, and so on), as well as the...

This book deals with locomotion control of biologically inspired robots realized through an analog circuital paradigm as cellular nonlinear networks. It presents a general methodology for the control of bio-inspired robots and several case studies, as well as describes a new approach to motion control and the related circuit architecture. Bio-inspired Emergent Control of Locomotion Systems provides researchers with a guide to the fundamentals of the topics. Moreover, neuro-biologists and physiologists can use the book as a starting point to design artificial structures for testing their...

In this work, the reader will find a theoretical introduction to noninteger order systems, as well as several applications showing their features and peculiarities. The main definitions and results of research on noninteger order systems and modelling of physical noninteger phenomena are reported together with problems of their approximation. Control applications, noninteger order CNNs and circuit realizations of noninteger order systems are also presented. This book is intended for students and researchers involved in the simulation and control of nonlinear noninteger order systems, with...

Cellular computing is a natural information processing paradigm, capable of modelling various biological, physical and social phenomena, as well as other kinds of complex adaptive systems. The programming of a cellular computer is in many respects similar to the genetic evolution in biology, the result being a proper cell design and a task-specific gene. How should one "program" the cell of a cellular computer so that a dynamic behaviour with computational relevance will emerge? What are the "rules" for designing a computationally universal and efficient cell? The answers to these questions...

Investigating global attractors of nonlinear dynamical systems, this work covers: the simplest attractor of a single equilibrium; finite denumerable and continuum equilibria sets; cycles, homoclinic and heteroclinic orbits; and strange attractors consisting of irregular unstable trajectories.