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Analysis and Modelling of Discrete Dynamical Systems
The theory of dynamical systems, or mappings, plays an important role in various disciplines of modern physics, including celestial mechanics and fluid mechanics. This comprehensive introduction to the general study of mappings has particular emphasis on their applications to the dynamics of the solar system. The book forms a bridge between continuous systems, which are suited to analytical developments and to discrete systems, which are suitable for numerical exploration. Featuring chapters based on lectures delivered at the School on Discrete Dynamical Systems (Aussois, France, February 1996) the book contains three parts - Numerical Tools and Modelling, Analytical Methods, and Examples of Application. It provides a single source of information that, until now, has been available only in widely dispersed journal articles.
China and the International Astronomical Union
Seen from “inside the IAU,” this book tells the in-depth story of a major crisis in which China “divorced” from the International Astronomical Union in 1960 as a protest against the admission of Taiwan. This happened to all the scientific unions at the same time, and to the Olympic Games, which, unexpectedly, would serve as a laboratory for the “reconciliation” which took place following the re-opening of China to the world 20 years later. The so-called “China conflict” is the most important crisis in the post-WWII history of the IAU. Yet, many details about this conflict and its links to broader geopolitical events have long remained unsettled, obscure, or altogether absent....
Emerging Dynamics: Science, Energy, Society and Values
Emerging Dynamics: Science, Energy, Society and Values focuses on the impact of science, science-based technology and scientific values on present-day humanity and its future. The book advocates for a science willing to accommodate both human values and scientific facts. The four main subjects focused on throughout the text are: The overwhelming impact of modern science and science-based technology on virtually every aspect of human life Human values and their significance for science and society The need for mutual accommodation between scientific values and the traditional values of society The fundamental role of energy for civilization and society. The book cuts across scientific discipl...
Chaotic Modelling and Simulation
Offers Both Standard and Novel Approaches for the Modeling of SystemsExamines the Interesting Behavior of Particular Classes of ModelsChaotic Modelling and Simulation: Analysis of Chaotic Models, Attractors and Forms presents the main models developed by pioneers of chaos theory, along with new extensions and variations of these models. Using more
Notes on Hamiltonian Dynamical Systems
Introduces Hamiltonian dynamics from the very beginning, culminating in the most important recent results: Kolmogorov's and Nekhoroshev's.
Transactions of the International Astronomical Union
The General Assemblies of the International Astronomical Union are landmarks in the life of the world-wide astronomical community, as they review, at triennial intervals, the progress made in this scientific field, promulgate the most spect acular astronomical achievements, formulate scientific programmes for the years to come and, last but not least, deal with the administration and finances of the IAU. The Reports on Astronomy 1976, published as Transactions XVIA (in 3 volumes) before the XVlth General Assembly, are a synopsis of the work done in astronomy from 1973 to 1975. The volume "Highlights of Astronomy , as presented at the XVlth General As sembly of the IAU in Grenoble, 1976" includes some selected scientific topics, and will appear in the first half of 1977. Apart from the Invited Discourses and the Proceedings of the seven Joint Discussions, the Highlights volume No.4 con tairsthe proceedings of two Joint Commissions Meetings.
Adventures in Order and Chaos
The field of Order and Chaos had a remarkable expansion in the last 50 years. The main reason was the use of computers, and the development of new theoretical methods that we call now 'the theory of chaos'. The author describes this fascinating period in a relaxed and sometimes humorous autobiographical way. He relates his interactions with many people in dynamical astronomy and he quotes several anecdotes from these interactions. He refers also to his experiences when he served in various international positions, such as general secretary of the IAU and chairman of the journal Astronomy and Astrophysics. In recent years the theory of chaos has been extended to new areas, like relativity, co...
Proceedings of the Twenty Seventh General Assembly Rio de Janeiro 2009
A complete record of the formal organisational and administrative proceedings of the XXVII General Assembly of the International Astronomical Union.
Nonlinear Dynamics and Chaos in Astrophysics
Nonlinear dynamics and chaos pervade dynamical problems on all astrophysical scales, ranging from the sun and solar system to galaxies and cosmology. This volume, the 13th in a series devoted to problems in nonlinear astronomy and physics, presents the work of 18 senior scientists from around the world as well as that of several postdoctoral associates to honour their mentor and colleague George Contopoulos, a seminal figure in this area of astrophysical research. Some of the topics considered are plasma physics, accelerator dynamics, several formal problems in nonlinear dynamics and several applied to astronomical problems on cosmology, accretion phenomena, and the structure and evolution of galaxies.
