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Bifurcation and Chaos in Complex Systems

2006-06-30 Science
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Release : 2006-06-30
Genre : Science
Kind : eBook
Book Rating : 669/5 ( reviews)

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Book Synopsis Bifurcation and Chaos in Complex Systems by :

Download or read book Bifurcation and Chaos in Complex Systems written by . This book was released on 2006-06-30. Available in PDF, EPUB and Kindle. Book excerpt: The book presents the recent achievements on bifurcation studies of nonlinear dynamical systems. The contributing authors of the book are all distinguished researchers in this interesting subject area. The first two chapters deal with the fundamental theoretical issues of bifurcation analysis in smooth and non-smooth dynamical systems. The cell mapping methods are presented for global bifurcations in stochastic and deterministic, nonlinear dynamical systems in the third chapter. The fourth chapter studies bifurcations and chaos in time-varying, parametrically excited nonlinear dynamical systems. The fifth chapter presents bifurcation analyses of modal interactions in distributed, nonlinear, dynamical systems of circular thin von Karman plates. The theories, methods and results presented in this book are of great interest to scientists and engineers in a wide range of disciplines. This book can be adopted as references for mathematicians, scientists, engineers and graduate students conducting research in nonlinear dynamical systems.· New Views for Difficult Problems· Novel Ideas and Concepts · Hilbert's 16th Problem· Normal Forms in Polynomial Hamiltonian Systems · Grazing Flow in Non-smooth Dynamical Systems· Stochastic and Fuzzy Nonlinear Dynamical Systems· Fuzzy Bifurcation· Parametrical, Nonlinear Systems· Mode Interactions in nonlinear dynamical systems

Complex Systems: Chaos and Beyond

2011-06-28 Mathematics
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Release : 2011-06-28
Genre : Mathematics
Kind : eBook
Book Rating : 610/5 ( reviews)

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Book Synopsis Complex Systems: Chaos and Beyond by : Kunihiko Kaneko

Download or read book Complex Systems: Chaos and Beyond written by Kunihiko Kaneko. This book was released on 2011-06-28. Available in PDF, EPUB and Kindle. Book excerpt: This book, the first in a series on this subject, is the outcome of many years of efforts to give a new all-encompassing approach to complex systems in nature based on chaos theory. While maintaining a high level of rigor, the authors avoid an overly complicated mathematical apparatus, making the book accessible to a wider interdisciplinary readership.

Chaos and Complex Systems

2020-02-19 Science
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Release : 2020-02-19
Genre : Science
Kind : eBook
Book Rating : 415/5 ( reviews)

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Book Synopsis Chaos and Complex Systems by : Stavros G. Stavrinides

Download or read book Chaos and Complex Systems written by Stavros G. Stavrinides. This book was released on 2020-02-19. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the proceedings of the “5th International Interdisciplinary Chaos Symposium on Chaos and Complex Systems (CCS).” All Symposia in the series bring together scientists, engineers, economists and social scientists, creating a vivid forum for discussions on the latest insights and findings obtained in the areas of complexity, nonlinear dynamics and chaos theory, as well as their interdisciplinary applications. The scope of the latest Symposium was enriched with a variety of contemporary, interdisciplinary topics, including but not limited to: fundamental theory of nonlinear dynamics, networks, circuits, systems, biology, evolution and ecology, fractals and pattern formation, nonlinear time series analysis, neural networks, sociophysics and econophysics, complexity management and global systems.

Bifurcation and Chaos in Nonsmooth Mechanical Systems

2003 Science
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Release : 2003
Genre : Science
Kind : eBook
Book Rating : 596/5 ( reviews)

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Book Synopsis Bifurcation and Chaos in Nonsmooth Mechanical Systems by : Jan Awrejcewicz

Download or read book Bifurcation and Chaos in Nonsmooth Mechanical Systems written by Jan Awrejcewicz. This book was released on 2003. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the theoretical frame for studying lumped nonsmooth dynamical systems: the mathematical methods are recalled, and adapted numerical methods are introduced (differential inclusions, maximal monotone operators, Filippov theory, Aizerman theory, etc.). Tools available for the analysis of classical smooth nonlinear dynamics (stability analysis, the Melnikov method, bifurcation scenarios, numerical integrators, solvers, etc.) are extended to the nonsmooth frame. Many models and applications arising from mechanical engineering, electrical circuits, material behavior and civil engineering are investigated to illustrate theoretical and computational developments.

Bifurcation and Chaos in Fractional-Order Systems

2021-01-19 Technology & Engineering
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Release : 2021-01-19
Genre : Technology & Engineering
Kind : eBook
Book Rating : 928/5 ( reviews)

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Book Synopsis Bifurcation and Chaos in Fractional-Order Systems by : Marius-F. Danca

Download or read book Bifurcation and Chaos in Fractional-Order Systems written by Marius-F. Danca. This book was released on 2021-01-19. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a collection of seven technical papers on fractional-order complex systems, especially chaotic systems with hidden attractors and symmetries, in the research front of the field, which will be beneficial for scientific researchers, graduate students, and technical professionals to study and apply. It is also suitable for teaching lectures and for seminars to use as a reference on related topics.

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