The Foundations of Chaos Revisited: From Poincaré to Recent Advancements

The Foundations of Chaos Revisited: From Poincaré to Recent Advancements
Author: Christos Skiadas
Publisher: Springer
Total Pages: 268
Release: 2016-04-29
Genre: Science
ISBN: 3319297015

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With contributions from a number of pioneering researchers in the field, this collection is aimed not only at researchers and scientists in nonlinear dynamics but also at a broader audience interested in understanding and exploring how modern chaos theory has developed since the days of Poincaré. This book was motivated by and is an outcome of the CHAOS 2015 meeting held at the Henri Poincaré Institute in Paris, which provided a perfect opportunity to gain inspiration and discuss new perspectives on the history, development and modern aspects of chaos theory. Henri Poincaré is remembered as a great mind in mathematics, physics and astronomy. His works, well beyond their rigorous mathematical and analytical style, are known for their deep insights into science and research in general, and the philosophy of science in particular. The Poincaré conjecture (only proved in 2006) along with his work on the three-body problem are considered to be the foundation of modern chaos theory.

Chaos Reconsidered

Chaos Reconsidered
Author: Robert Jervis
Publisher: Columbia University Press
Total Pages: 361
Release: 2023-07-04
Genre: Political Science
ISBN: 0231556268

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The shock of Donald Trump’s election caused many observers to ask whether the liberal international order—the system of institutions and norms established after World War II—was coming to an end. The victory of Joe Biden, a committed institutionalist, suggested that the liberal order would endure. Even so, important questions remained: Was Trump an aberration? Is Biden struggling in vain against irreparable changes in international politics? What does the future hold for the international order? The essays in Chaos Reconsidered answer those questions. Leading scholars assess the domestic and global effects of the Trump and Biden presidencies. The historians put the Trump years and Biden’s victory in historical context. Regional specialists evaluate U.S. diplomacy in Asia, Europe, Africa, the Middle East, and Latin America. Others foreground topics such as global right-wing populism, the COVID-19 pandemic, racial inequality, and environmental degradation. International relations theorists reconsider the nature of international politics, pointing to deficiencies in traditional IR methods for explaining world events and Trump’s presidency in particular. Together, these experts provide a comprehensive analysis of the state of U.S. alliances and partnerships, the durability of the liberal international order, the standing and reputation of the United States as a global leader, the implications of China’s assertiveness and Russia’s aggression, and the prospects for the Biden administration and its successors.

Empire of Thebes, Or, Ages in Chaos Revisited

Empire of Thebes, Or, Ages in Chaos Revisited
Author: Emmet John Sweeney
Publisher: Algora Publishing
Total Pages: 418
Release: 2006
Genre: History
ISBN: 0875864813

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Inspired by Velikovsky's "Ages in Chaos," Sweeney embarks on a 3-part work to complete the reconstruction of ancient history; he calls for a much more radical shortening of ancient chronology and asserts that Velikovsky placed too much reliance on the Bible as a chronological measuring rod.

Chaos Revisited

Chaos Revisited
Author: Nicos Laides
Publisher:
Total Pages: 103
Release: 1965
Genre:
ISBN:

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Chaos Revisited

Chaos Revisited
Author: Paul Nord
Publisher:
Total Pages: 103
Release: 1965
Genre:
ISBN:

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Chaos Expansions, Multiple Wiener-Ito Integrals, and Their Applications

Chaos Expansions, Multiple Wiener-Ito Integrals, and Their Applications
Author: Christian Houdre
Publisher: CRC Press
Total Pages: 396
Release: 1994-04-05
Genre: Mathematics
ISBN: 9780849380723

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The study of chaos expansions and multiple Wiener-Ito integrals has become a field of considerable interest in applied and theoretical areas of probability, stochastic processes, mathematical physics, and statistics. Divided into four parts, this book features a wide selection of surveys and recent developments on these subjects. Part 1 introduces the concepts, techniques, and applications of multiple Wiener-Ito and related integrals. The second part includes papers on chaos random variables appearing in many limiting theorems. Part 3 is devoted to mixing, zero-one laws, and path continuity properties of chaos processes. The final part presents several applications to stochastic analysis.

Stochastic Processes and Random Matrices

Stochastic Processes and Random Matrices
Author: Gregory Schehr
Publisher: Oxford University Press
Total Pages: 641
Release: 2017
Genre: Mathematics
ISBN: 0198797311

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This text covers in detail recent developments in the field of stochastic processes and Random Matrix Theory. Matrix models have been playing an important role in theoretical physics for a long time and are currently also a very active domain of research in mathematics.

Chaos and Dynamical Systems

Chaos and Dynamical Systems
Author: David P. Feldman
Publisher: Princeton University Press
Total Pages:
Release: 2019-08-06
Genre: Mathematics
ISBN: 0691189390

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Chaos and Dynamical Systems presents an accessible, clear introduction to dynamical systems and chaos theory, important and exciting areas that have shaped many scientific fields. While the rules governing dynamical systems are well-specified and simple, the behavior of many dynamical systems is remarkably complex. Of particular note, simple deterministic dynamical systems produce output that appears random and for which long-term prediction is impossible. Using little math beyond basic algebra, David Feldman gives readers a grounded, concrete, and concise overview. In initial chapters, Feldman introduces iterated functions and differential equations. He then surveys the key concepts and results to emerge from dynamical systems: chaos and the butterfly effect, deterministic randomness, bifurcations, universality, phase space, and strange attractors. Throughout, Feldman examines possible scientific implications of these phenomena for the study of complex systems, highlighting the relationships between simplicity and complexity, order and disorder. Filling the gap between popular accounts of dynamical systems and chaos and textbooks aimed at physicists and mathematicians, Chaos and Dynamical Systems will be highly useful not only to students at the undergraduate and advanced levels, but also to researchers in the natural, social, and biological sciences.

Fractal Worlds

Fractal Worlds
Author: Michael Frame
Publisher: Yale University Press
Total Pages: 536
Release: 2016-01-01
Genre: Mathematics
ISBN: 030019787X

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In this essential primer, mathematician Michael Frame, a close collaborator with Benoit Mandelbrot, the founder of fractal geometry, and poet Amelia Urry explore the amazing world of fractals as they appear in nature, art, medicine, and technology

An Ancient Path

An Ancient Path
Author: Paul R. Fleischman
Publisher: Pariyatti Publishing
Total Pages: 185
Release: 2012-12-05
Genre: Religion
ISBN: 1928706541

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A collection of talks given by Dr. Paul Fleischman on Vipassana meditation as taught by S.N. Goenka, these selections explore subjects such as mental health, mindfulness, and cultivating inner peace. They were given to diverse audiences across the world in locations including Boston, Madrid, Vienna, and Dublin. These talks are a valuable introduction to Vipassana meditation, as well as an inspiring resource for those who are already practicing.