Author: Bruno Cordani Publisher: Springer Science & Business Media ISBN: 0817683690 Category : Science Languages : en Pages : 347
Book Description
This original monograph aims to explore the dynamics in the particular but very important and significant case of quasi-integrable Hamiltonian systems, or integrable systems slightly perturbed by other forces. With both analytic and numerical methods, the book studies several of these systems—including for example the hydrogen atom or the solar system, with the associated Arnold web—through modern tools such as the frequency modified fourier transform, wavelets, and the frequency modulation indicator. Meanwhile, it draws heavily on the more standard KAM and Nekhoroshev theorems. Geography of Order and Chaos in Mechanics will be a valuable resource for professional researchers and certain advanced undergraduate students in mathematics and physics, but mostly will be an exceptional reference for Ph.D. students with an interest in perturbation theory.
Author: Bruno Cordani Publisher: Springer Nature ISBN: 3031722264 Category : Differential equations Languages : en Pages : 413
Book Description
This monograph explores the dynamics in the particular but very important and significant case of quasi-integrable Hamiltonian systems, or integrable systems slightly perturbed by other forces. With both analytic and numerical methods, the book studies several of these systems - such as the hydrogen atom and the solar system, with the associated Arnold web - through modern tools such as the frequency-modified Fourier transform, wavelets, and the frequency-modulation indicator. Meanwhile, it draws heavily on the more standard KAM and Nekhoroshev theorems. Geography of Order and Chaos in Mechanics contains many figures that illuminate its concepts in novel ways, but perhaps its most useful feature is its inclusion of software to reproduce the various numerical experiments. The graphical user interfaces of five supplied MATLAB programs allows readers without any knowledge of computer programming to visualize and experiment with the distribution of order, chaos and resonances in various Hamiltonian systems. This monograph will be a valuable resource for professional researchers and certain advanced undergraduate students in mathematics and physics, as well as an exceptional reference for PhD students with an interest in perturbation theory. The Second Edition includes a new chapter on theoretical and numerical results in the study of the solar system's (in)stability obtained since publication of the First Edition, clarifying the topological mechanism that causes the sudden increase in Mercury's eccentricity. An updated version of the companion software is also provided, which contains new features and better Graphical User Interfaces. Thanks to the compiled versions, all the software can be used even if the user does not have access to a MATLAB installation.
Author: Mark S. Mosko Publisher: Berghahn Books ISBN: 1800735189 Category : Social Science Languages : en Pages : 296
Book Description
Over the past two decades, “chaos theory” – the perception of order previously hidden in phenomena of apparent randomness and disorder – has fundamentally transformed the natural sciences. In recent years, numerous scholars in the social sciences and humanities have attempted to adapt the insights of chaos theory to their studies of human cultural and social systems. Several of the world’s leading anthropologists, such as Roy Wagner, Marshall Sahlins, Marilyn Strathern, and Arjun Appadurai – have similarly drawn upon particular elements of chaos theory for their inspiration, but as yet there is no focused, comprehensive treatment of the applicability of chaos theory to anthropology’s distinctive ethnographic and cross-cultural materials. This edited volume fills the gap, with both accessible theoretical discussions of chaos theory applications in anthropology and detailed ethnographic and historical illustrations from Africa and Melanesia.
Author: Richard John Huggett Publisher: Routledge ISBN: 1134056184 Category : History Languages : en Pages : 225
Book Description
Physical Geography: The Key Concepts is a thought-provoking and up-to-date introduction to the central ideas and debates within the field. It provides extended definitions of terms that are fundamental to physical geography and its many branches, covering topics such as: biogeography ecology climatology meteorology geomorphology hydrology pedology Complete with informative tables, diagrams, and suggestions for further reading, this is a highly accessible guide for those studying physical geography and related courses.
Author: Bruno Cordani Publisher: Springer Science & Business Media ISBN: 9783764369026 Category : Mathematics Languages : en Pages : 464
Book Description
Accompanying CD-ROM contains Microsoft Windows program Kepler which calculates the effects of any perturbation of the Kepler problem and plots the resulting trajectories.
Author: Allucquère Rosanne Stone Publisher: MIT Press ISBN: 9780262691895 Category : Social Science Languages : en Pages : 228
Book Description
Human communication has traditionally revealed important aspects of identity such as gender, age and race. However, such information is now often masked by computer-mediated communications. This text examines the various ways modern technology is challenging conventional notions of gender identity.
Author: David O'Sullivan Publisher: John Wiley & Sons ISBN: 1119023874 Category : Science Languages : en Pages : 432
Book Description
Clear, up-to-date coverage of methods for analyzing geographicalinformation in a GIS context Geographic Information Analysis, Second Edition is fullyupdated to keep pace with the most recent developments of spatialanalysis in a geographic information systems (GIS) environment.Still focusing on the universal aspects of this science, thisrevised edition includes new coverage on geovisualization andmapping as well as recent developments using local statistics. Building on the fundamentals, this book explores such keyconcepts as spatial processes, point patterns, and autocorrelationin area data, as well as in continuous fields. Also addressed aremethods for combining maps and performing computationally intensiveanalysis. New chapters tackle mapping, geovisualization, and localstatistics, including the Moran Scatterplot and GeographicallyWeighted Regression (GWR). An appendix provides a primer on linearalgebra using matrices. Complete with chapter objectives, summaries, "thoughtexercises," explanatory diagrams, and a chapter-by-chapterbibliography, Geographic Information Analysis is a practicalbook for students, as well as a valuable resource for researchersand professionals in the industry.
Author: Patsy Healey Publisher: Routledge ISBN: 1315279231 Category : Political Science Languages : en Pages : 340
Book Description
At a time of potentially radical changes in the ways in which humans interact with their environments - through financial, environmental and/or social crises - the raison d'être of spatial planning faces significant conceptual and empirical challenges. This Companion presents a multidimensional collection of critical narratives of conceptual challenges for spatial planning. The authors draw on various disciplinary traditions and theoretical frames to explore different ways of conceptualising spatial planning and the challenges it faces. Through problematising planning itself, the values which underpin planning and theory-practice relations, contributions make visible the limits of established planning theories and illustrate how, by thinking about new issues, or about issues in new ways, spatial planning might be advanced both theoretically and practically. There cannot be definitive answers to the conceptual challenges posed, but the authors in this collection provoke critical questions and debates over important issues for spatial planning and its future. A key question is not so much what planning theory is, but what might planning theory do in times of uncertainty and complexity. An underlying rationale is that planning theory and practice are intrinsically connected. The Companion is presented in three linked parts: issues which arise from an interactive understanding of the relations between planning ideas and the political-institutional contexts in which such ideas are put to work; key concepts in current theorising from mainly poststructuralist perspectives and what discussion on complexity may offer planning theory and practice.
Author: Bruno Cordani Publisher: Springer Science & Business Media ISBN: 0817683704 Category : Science Languages : en Pages : 347
Book Description
This original monograph aims to explore the dynamics in the particular but very important and significant case of quasi-integrable Hamiltonian systems, or integrable systems slightly perturbed by other forces. With both analytic and numerical methods, the book studies several of these systems—including for example the hydrogen atom or the solar system, with the associated Arnold web—through modern tools such as the frequency modified fourier transform, wavelets, and the frequency modulation indicator. Meanwhile, it draws heavily on the more standard KAM and Nekhoroshev theorems. Geography of Order and Chaos in Mechanics will be a valuable resource for professional researchers and certain advanced undergraduate students in mathematics and physics, but mostly will be an exceptional reference for Ph.D. students with an interest in perturbation theory.
Author: Bruno Cordani
Author: Bruno Cordani
Author: Mark S. Mosko
Author: Richard John Huggett
Author: Bruno Cordani
Author: Allucquère Rosanne Stone
Author: David O'Sullivan
Author: Patsy Healey
Author: Tamás Tél
Author: Bruno Cordani