Available:*
Library | Item Barcode | Call Number | Material Type | Item Category 1 | Status |
|---|---|---|---|---|---|
Searching... | 30000010305913 | QA614.8 N66 1997 | Open Access Book | Book | Searching... |
On Order
Summary
Summary
The physics and mathematics of nonlinear dynamics, chaotic and complex systems constitute some of the most fascinating developments of late-twentieth-century science. Universal constants in chaotic behavior have been discovered, changing our understanding of important phenomena in such fields as physics, biology, chemistry, economics, and medicine. In this book, two dozen scientists and mathematicians who were deeply involved in the "nonlinear revolution" cover most of the basic aspects of the field. The book is divided into five parts: dynamical systems, bifurcation theory and chaos; spatially extended systems; dynamical chaos, quantum physics and the foundations of statistical mechanics; evolutionary and cognitive systems; and complex systems as an interface between the sciences.
Table of Contents
| Part I Dynamic Systems Bifurcation Theory and Chaos |
| 1 Chaos in random dynamical systemsV. M. Gunldach |
| 2 Controlling chaos using embedded unstable periodic orbits: the problem of optimal periodic orbitsB. R. Hunt and E. Ott |
| 3 Chaotic tracer dynamics in open hydrodynamical flowsG. Karolyi and A. Pentek and T. Tel and Z. Toroczkai |
| 4 Homoclinic chaosL. P. Shilnikov |
| Part II Spatially Extended Systems: |
| 5 Hydrodynamics of relativistic probability flowsI. Bialynicki-Birula |
| 6 Waves in ionic reaction-diffusion-migration systemsP. Hasal and V. Nevoral and I. Schreiber and H. Sevcikova and D. Snita and M. Marek |
| 7 Anomalous scaling in turbulence: a field theoretical approachV. Lvov and I. Procaccia |
| 8 Abelian sandpile cellular automataM. Markosova |
| 9 Transport in an incompletely chaotic magnetic fieldF. Spineanu |
| Part III Dynamical Chaos Quantum Physics and Foundations Of Statistical Mechanics: |
| 10 Non-equilibrium statistical mechanics and ergodic theoryL. A. Bunimovich |
| 11 Pseudochaos in statistical physicsB. Chirikov |
| 12 Foundations of non-equilibrium statistical mechanicsJ. P. Dougherty |
| 13 Thermomechanical particle simulationsW. G. Hoover and H. A. Posch and C. H. Dellago and O. Kum and C. G. Hoover and A. J. De Groot and B. L. Holian |
| 14 Quantum dynamics on a Markov background irreversibilityB. Pavlov |
| 15 Time chaos and the laws of natureI. Prigogine and D. J. Driebe |
| 16 Evolutionary Q and cognitive systems: dynamic entropies and predictability of evolutionary processesW. Ebeling |
| 17 Spatiotemporal chaos information processing in neural networksH. Szu |
| 18 Phase transitions and learning in neural networksC. Van den Broeck |
| 19 Synthesis of chaosA. Vanecek and S. Celikovsky |
| 20 Computational complexity of continuous problemsH. Wozniakowski |
| Part IV Complex Systems As An Interface Between Natural Sciences and Environmental Social and Economic Sciences: |
| 21 Stochastic differential geometry in finance studiesV. G. Makhankov |
| Part V Conference Banquet Speech: Where will the future go?M. J. Feigenbaum |
