Overview
- Conceptual analysis and Phenomenology are illustrated with chaos and phase transitions
- Contains an explanation of renormalization group theory for ODE and PDE by the author of the approach
- Provides a critical analysis of complexity to dispel misunderstandings on this topic
Part of the book series: Springer Series in Synergetics (SSSYN)
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Table of contents (5 chapters)
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Front Matter
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Back Matter
Keywords
About this book
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.
Authors and Affiliations
About the author
Bibliographic Information
Book Title: The Nonlinear World
Book Subtitle: Conceptual Analysis and Phenomenology
Authors: Yoshitsugu Oono
Series Title: Springer Series in Synergetics
DOI: https://doi.org/10.1007/978-4-431-54029-8
Publisher: Springer Tokyo
eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)
Copyright Information: Springer Japan 2013
Hardcover ISBN: 978-4-431-54028-1Published: 30 October 2012
Softcover ISBN: 978-4-431-54667-2Published: 09 November 2014
eBook ISBN: 978-4-431-54029-8Published: 30 October 2012
Series ISSN: 0172-7389
Series E-ISSN: 2198-333X
Edition Number: 1
Number of Pages: XII, 300
Topics: Complex Systems, Complexity, Systems Biology, Applications of Mathematics, Vibration, Dynamical Systems, Control, Statistical Physics and Dynamical Systems