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| Author | : Peter Scott Geissler |
| Publisher | : |
| Total Pages | : 628 |
| Release | : 1992 |
| Genre | : |
| ISBN | : |
| Author | : G. Nicolis |
| Publisher | : World Scientific |
| Total Pages | : 343 |
| Release | : 2007 |
| Genre | : Mathematics |
| ISBN | : 9812700439 |
Complexity is emerging as a post-Newtonian paradigm for approaching a large body of phenomena of concern at the crossroads of physical, engineering, environmental, life and human sciences from a unifying point of view. This book outlines the foundations of modern complexity research as it arose from the cross-fertilization of ideas and tools from nonlinear science, statistical physics and numerical simulation. It is shown how these developments lead to an understanding, both qualitative and quantitative, of the complex systems encountered in nature and in everyday experience and, conversely, how natural complexity acts as a source of inspiration for progress at the fundamental level.
| Author | : Paul Cilliers |
| Publisher | : Routledge |
| Total Pages | : 170 |
| Release | : 2002-09-11 |
| Genre | : Philosophy |
| ISBN | : 1134743297 |
In Complexity and Postmodernism, Paul Cilliers explores the idea of complexity in the light of contemporary perspectives from philosophy and science. Cilliers offers us a unique approach to understanding complexity and computational theory by integrating postmodern theory (like that of Derrida and Lyotard) into his discussion. Complexity and Postmodernism is an exciting and an original book that should be read by anyone interested in gaining a fresh understanding of complexity, postmodernism and connectionism.
| Author | : |
| Publisher | : |
| Total Pages | : 902 |
| Release | : 2008 |
| Genre | : Dissertations, Academic |
| ISBN | : |
| Author | : Sander van der Leeuw |
| Publisher | : Cambridge University Press |
| Total Pages | : 533 |
| Release | : 2020-02-13 |
| Genre | : History |
| ISBN | : 1108498698 |
A novel, integrated approach to understanding long-term human history, viewing it as the long-term evolution of human information-processing. This title is also available as Open Access.
| Author | : Ilya Prigogine |
| Publisher | : University Press of America |
| Total Pages | : 152 |
| Release | : 1993 |
| Genre | : Science |
| ISBN | : |
The role of chaos in science and mathematics is examined in detail by the essays that comprise this work. Distinguished scholars specializing in mathematics, physics, and chemistry discuss the following subjects: Fractals, by Benoit Mandelbrot; The Causality Principle, Deterministic Laws and Chaos, by Heinz-Otto Peitgen; The Transition to Chaos, by Mitchell Feigenbaum; Time, Dynamics and Chaos: Integrating Poincare's 'Non-Integrable Systems', by Ilya Prigogine; What Is Chaos, by Steve Smale; Chaos and Cosmos: A Theological Approach, by John Polkinghorne; and Chaos and Beyond, by James Gleick. Introduction by John Holte. This volume is number 26 in the Nobel Conference Series. Co-published with the Nobel Conference.
| Author | : Alberto Carpinteri |
| Publisher | : Springer Nature |
| Total Pages | : 968 |
| Release | : 2021-06-26 |
| Genre | : Science |
| ISBN | : 9402420266 |
The book explores the two opposite natural trends of composite systems: (i) order and structure emerging from heterogeneity and randomness, and (ii) instability and chaos arising from simple nonlinear rules. Providing insights into the rapidly growing field of complexity sciences, the book focuses on the role of complexity in fracture mechanics. It firstly discusses the occurrence of self-similarity and fractal patterns in deformation, damage, fracture, and fragmentation of heterogeneous materials and the apparent scaling of the nominal mechanical properties of disordered materials, as well as of the time-to-failure after fatigue and creep loading. Then the book addresses criticality in the acoustic emissions from damaged structures and tectonic faults. Further, it examines the snap-back instability in the structural behavior of relatively large composite structures in the framework of catastrophe theory, and lastly describes the transition toward chaos in the dynamics of cracked elements.
| Author | : Steven H. Strogatz |
| Publisher | : CRC Press |
| Total Pages | : 532 |
| Release | : 2018-05-04 |
| Genre | : Mathematics |
| ISBN | : 0429961111 |
This textbook is aimed at newcomers to nonlinear dynamics and chaos, especially students taking a first course in the subject. The presentation stresses analytical methods, concrete examples, and geometric intuition. The theory is developed systematically, starting with first-order differential equations and their bifurcations, followed by phase plane analysis, limit cycles and their bifurcations, and culminating with the Lorenz equations, chaos, iterated maps, period doubling, renormalization, fractals, and strange attractors.
| Author | : Sunny Y. Auyang |
| Publisher | : Cambridge University Press |
| Total Pages | : 422 |
| Release | : 1998 |
| Genre | : Business & Economics |
| ISBN | : 9780521778268 |
Analyzes approaches to the study of complexity in the physical, biological, and social sciences.
| Author | : Yoshitsugu Oono |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 307 |
| Release | : 2012-10-30 |
| Genre | : Science |
| ISBN | : 4431540296 |
The most important characteristic of the “world filled with nonlinearity” is the existence of scale interference: disparate space–time scales interfere with each other. Thus, the effects of unknowable scales invade the world that we can observe directly. This leads to various peculiar phenomena such as chaos, critical phenomena, and complex biological phenomena, among others. Conceptual analysis and phenomenology are the keys to describe and understand phenomena that are subject to scale interference, because precise description of unfamiliar phenomena requires precise concepts and their phenomenological description. The book starts with an illustration of conceptual analysis in terms of chaos and randomness, and goes on to explain renormalization group philosophy as an approach to phenomenology. Then, abduction is outlined as a way to express what we have understood about the world. The book concludes with discussions on how we can approach genuinely complex phenomena, including biological phenomena. The main target of this volume is young people who have just started to appreciate the world seriously. The author also wishes the book to be helpful to those who have been observing the world, but who wish to appreciate it afresh from a different angle.
