
From Instability to Intelligence
Complexity and Predictability in Nonlinear Dynamics
Springer (Publisher)
Published on 19. June 1997
Book
Hardback
XIV, 552 pages
978-3-540-63055-5 (ISBN)
Description
So far as the laws of mathematics refer to reality, they are not certain. And so far as they are certain, they do not refer to reality. -A. Einstein The word "instability" in day-to-day language is associated with some thing going wrong or being abnormal: exponential growth of cancer cells, irrational behavior of a patient, collapse of a structure, etc. This book, however, is about "good" instabilities, which lead to change, evolution, progress, creativity, and intelligence; they explain the paradox of irreversi bility in thermodynamics, the phenomena of chaos and turbulence in clas sical mechanics, and non-deterministic (multi-choice) behavior in biological and social systems. The concept of instability is an attribute of dynamical models that de scribe change in time of physical parameters, biological or social events, etc. Each dynamical model has a certain sensitivity to small changes or "errors" in initial values of its variables. These errors may grow in time, and if such growth is of an exponential rate, the behavior of the variable is defined as unstable. However, the overall effect of an unstable variable upon the dynamical system is not necessarily destructive. Indeed, there al ways exists such a group of variables that do not contribute to the energy of the system. In mechanics such variables are called ignorable or cyclic.
More details
Series
Language
English
Place of publication
Heidelberg
Germany
Publishing group
Springer Berlin
Target group
College/higher education
Professional and scholarly
Illustrations
biography
Dimensions
Height: 23.5 cm
Width: 15.5 cm
Weight
960 gr
ISBN-13
978-3-540-63055-5 (9783540630555)
DOI
10.1007/978-3-540-69121-1
Schweitzer Classification
Other editions
Additional editions

Michail Zak | Joseph P. Zbilut | Ronald E. Meyers
From Instability to Intelligence
Complexity and Predictability in Nonlinear Dynamics
E-Book
12/2008
Springer
€85.59
Available for download
Content
Predictability in Classical Dynamics.- Open Problems in Dynamical Systems.- Instability in Dynamics.- Stabilization Principle.- Terminal (Non-Lipschitz) Dynamics in Biology and Physics.- Biological Randomness and Non-Lipschitz Dynamics.- Terminal Model of Newtonian Dynamics.- Terminal Neurodynamics.- Physical Models of Cognition.- Terminal Dynamics Approach to Discrete Event Systems.- Modeling Heartbeats Using Terminal Dynamics.- Irreversibility in Thermodynamics.- Terminal Dynamics Effects in Viscous Flows.- Quantum Intelligence.- Turbulence and Quantum Fields Computations.- Epilogue.