Screen LibraryDynamics and thermodynamics in hierarchically organized systems : applications in physics, biology, and economics /
One of the most fundamental and efficient ways of conceptualizing complex systems is to organize them hierarchically. A hierarchically organized system is represented by a network of interconnected subsystems, each of which has its own network of subsystems, and so on, until some elementary subsyste...
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| Main Authors: | |
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| Corporate Authors: | |
| Published: |
Pergamon Press,
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| Publisher Address: | Oxford ; New York : |
| Publication Dates: | 1989. |
| Literature type: | eBook |
| Language: | English |
| Edition: | First edition. |
| Series: |
IFSR international series on systems science and engineering ;
volume 5 |
| Subjects: | |
| Online Access: |
http://www.sciencedirect.com/science/book/9780080401805 |
| Summary: |
One of the most fundamental and efficient ways of conceptualizing complex systems is to organize them hierarchically. A hierarchically organized system is represented by a network of interconnected subsystems, each of which has its own network of subsystems, and so on, until some elementary subsystems are reached that are not further decomposed. This original and important book proposes a general mathematical theory of a hierarchical system and shows how it can be applied to very different topics such as physics (Hamiltonian systems), biology (coupling the molecular and the cellular levels), ecology (coupling the individual, population and ecosystem), and economics (coupling the sectoral, regional and national levels). The first attempt to develop mathematical frameworks for conceptualizing such systems only appeared in the early 1970s, and it took another decade before these mathematical frameworks were applied to various specific contexts of the sciences of the natural. Much of this work has been pioneered by the author, and he presents a more thorough work which will have a major impact on shifting current thinking in the sciences of the natural to a more holistic basis in which several levels of hierarchically organized systems are viewed in an integrated fashion. |
| Carrier Form: | 1 online resource (xii, 210 pages) : illustrations. |
| Bibliography: | Includes bibliographical references (pages 203-210). |
| ISBN: |
9781483287270 1483287270 |
| Index Number: | Q295 |
| CLC: | N94 |
| Contents: |
Front Cover; Dynamics and Thermodynamics in Hierarchically Organized Systems: Applications in Physics, Biology and Economics; Copyright Page; Foreword; Dedication; Table of Contents; Introduction; CHAPTER 1. HIERARCHICALLY ORGANIZED HAMILTONIAN SYSTEMS; 1. KINETIC ENERGY; 2. POTENTIAL ENERGY; 3. HAMILTONIAN; 4. EQUATIONS FOR GROUP MOTION AND FOR INTERNAL MOTION; 5. FAST VARYING GROUP VARIABLES, SLOW VARYING INTERNAL VARIABLES; 6. COUPLINGS BETWEEN GROUP MOTION AND INTERNAL MOTION; 7. FREE ENERGY AND ENTROPY OF A HIERARCHICAL SYSTEM; 8. THREE LEVEL SYSTEM CHAPTER 2. POPULATION DYNAMICS IN A HIERARCHICALLY ORGANIZED SYSTEM1. EMERGENCE OF THE HIERARCHICAL LEVELS; 2. TWO LEVEL SYSTEM; 3. THREE LEVEL SYSTEM; CHAPTER 3. COUPLINGS BETWEEN THE BIOCHEMICALAND THE CELLULAR LEVELS; l.COUPLED CHEMICAL AND CELLULAR KINETICS; 2. RELATIONS BETWEEN CELLULAR AGING RATES AND CHEMICAL RATES; 3. MULTI-CELLULAR SYSTEM; CHAPTER 4. HIERARCHICALLY ORGANIZED POPULATION OF NEURONS; 1. THE HOPFIELD MODEL; 2. HIERARCHICALLY ORGANIZED POPULATION OF NEURONS; CHAPTER 5. HIERARCHICALLY ORGANIZED ECOSYSTEM; 1. COUPLED INDIVIDUAL AND POPULATION KINETICS 2. COUPLED POPULATION AND ECOSYSTEM KINETICS3. MICROEVOLUTION, MACROEVOLUTION; CHAPTER 6. HIERARCHICALLY ORGANIZED ECONOMICS; 1. INPUT-OUTPUT ANALYSIS IN HIERARCHICALLY ORGANIZED ECONOMICS; 2. COUPLED SECTORAL AND REGIONAL LEVELS; 3. COUPLED SECTORAL, REGIONAL AND NATIONAL LEVELS; CHAPTER 7. Thermodynamics in a Hierarchically Organized System; 1. MICROCANONICAL ENSEMBLE WITH EQUIPROBABLE STATES; 2. MICROCANONICAL ENSEMBLE WITH NON-EQUIPROBABLE STATES; 3. AN ECOLOGICAL EXAMPLE : COUPLED INDIVIDUAL AND POPULATION LEVELS; Conclusion; APPENDIX: MICROCANONICAL ENSEMBLES WITHNON-EQUIPROBABLE STATES Microcanonical ensembleensembles with non-equiprobable states : an ecological example; references |