From Instability to Intelligence: Complexity and Predictability in Nonlinear Dynamics

Overview

This book deals with predictability and dynamical concepts in biology and physics. The main emphasis is on intrinsic stochasticity caused by the instability of dynamical equations. In particular, the authors present for the first time in book form their concept of terminal dynamics. They demonstrate that instability as an attribute of dynamical models can explain the paradox of irreversibility in thermodynamics, the phenomenon of chaos and turbulence in classical mechanics, and non-deterministic (multi-choice) ...

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Overview

This book deals with predictability and dynamical concepts in biology and physics. The main emphasis is on intrinsic stochasticity caused by the instability of dynamical equations. In particular, the authors present for the first time in book form their concept of terminal dynamics. They demonstrate that instability as an attribute of dynamical models can explain the paradox of irreversibility in thermodynamics, the phenomenon of chaos and turbulence in classical mechanics, and non-deterministic (multi-choice) behavior in biological and social systems. The book addresses researchers as well as students; it should also be of interest to philosophers of science.

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Product Details

  • ISBN-13: 9783540630555
  • Publisher: Springer-Verlag New York, LLC
  • Publication date: 7/28/1997
  • Series: Lecture Notes in Physics
  • Pages: 552

Table of Contents

Introduction 1
I Predictability in Classical Dynamics 9
Open Problems in Dynamical Systems 11
Instability in Dynamics 55
Stabilization Principle 133
II Terminal (Non-Lipsschitz) Dynamics in Biology and Physics 239
Biological Randomness and Non-Lipschitz Dynamics 241
Terminal Model of Newtonian Dynamics 265
Terminal Neurodynamics 311
Physical Models of Cognition 379
Terminal Dynamics Approach to Discrete Event Systems 403
Modeling Heartbeats Using Terminal Dynamics 429
Irreversibility in Thermodynamics 435
Terminal Dynamics Effects in Viscous Flows 447
Quantum Intelligence 475
Turbulence and Quantum Fields Computations 507
Epilogue 527
References 529
Index 541
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