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Author : Heinz Georg Schuster
Release : 1988
Genre : Science
Kind : eBook
Book Rating : /5 ( reviews)
Book Synopsis Deterministic Chaos by : Heinz Georg Schuster
Download or read book Deterministic Chaos written by Heinz Georg Schuster. This book was released on 1988. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Heinz Georg Schuster
Release : 2006-03-06
Genre : Science
Kind : eBook
Book Rating : 416/5 ( reviews)
Book Synopsis Deterministic Chaos by : Heinz Georg Schuster
Download or read book Deterministic Chaos written by Heinz Georg Schuster. This book was released on 2006-03-06. Available in PDF, EPUB and Kindle. Book excerpt: A new edition of this well-established monograph, this volume provides a comprehensive overview over the still fascinating field of chaos research. The authors include recent developments such as systems with restricted degrees of freedom but put also a strong emphasis on the mathematical foundations. Partly illustrated in color, this fourth edition features new sections from applied nonlinear science, like control of chaos, synchronisation of nonlinear systems, and turbulence, as well as recent theoretical concepts like strange nonchaotic attractors, on-off intermittency and spatio-temporal chaotic motion.
Author : Jan Awrejcewicz
Release : 2016-03-14
Genre : Science
Kind : eBook
Book Rating : 714/5 ( reviews)
Book Synopsis Deterministic Chaos In One Dimensional Continuous Systems by : Jan Awrejcewicz
Download or read book Deterministic Chaos In One Dimensional Continuous Systems written by Jan Awrejcewicz. This book was released on 2016-03-14. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on the computational analysis of nonlinear vibrations of structural members (beams, plates, panels, shells), where the studied dynamical problems can be reduced to the consideration of one spatial variable and time. The reduction is carried out based on a formal mathematical approach aimed at reducing the problems with infinite dimension to finite ones. The process also includes a transition from governing nonlinear partial differential equations to a set of finite number of ordinary differential equations.Beginning with an overview of the recent results devoted to the analysis and control of nonlinear dynamics of structural members, placing emphasis on stability, buckling, bifurcation and deterministic chaos, simple chaotic systems are briefly discussed. Next, bifurcation and chaotic dynamics of the Euler-Bernoulli and Timoshenko beams including the geometric and physical nonlinearity as well as the elastic-plastic deformations are illustrated. Despite the employed classical numerical analysis of nonlinear phenomena, the various wavelet transforms and the four Lyapunov exponents are used to detect, monitor and possibly control chaos, hyper-chaos, hyper-hyper-chaos and deep chaos exhibited by rectangular plate-strips and cylindrical panels.The book is intended for post-graduate and doctoral students, applied mathematicians, physicists, teachers and lecturers of universities and companies dealing with a nonlinear dynamical system, as well as theoretically inclined engineers of mechanical and civil engineering.
Author : David Hobill
Release : 2013-06-29
Genre : Science
Kind : eBook
Book Rating : 934/5 ( reviews)
Book Synopsis Deterministic Chaos in General Relativity by : David Hobill
Download or read book Deterministic Chaos in General Relativity written by David Hobill. This book was released on 2013-06-29. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinear dynamical systems play an important role in a number of disciplines. The physical, biological, economic and even sociological worlds are comprised of com plex nonlinear systems that cannot be broken down into the behavior of their con stituents and then reassembled to form the whole. The lack of a superposition principle in such systems has challenged researchers to use a variety of analytic and numerical methods in attempts to understand the interesting nonlinear interactions that occur in the World around us. General relativity is a nonlinear dynamical theory par excellence. Only recently has the nonlinear evolution of the gravitational field described by the theory been tackled through the use of methods used in other disciplines to study the importance of time dependent nonlinearities. The complexity of the equations of general relativity has been (and still remains) a major hurdle in the formulation of concrete mathematical concepts. In the past the imposition of a high degree of symmetry has allowed the construction of exact solutions to the Einstein equations. However, most of those solutions are nonphysical and of those that do have a physical significance, many are often highly idealized or time independent.
Author : Vadim S. Anishchenko
Release : 2014-06-16
Genre : Science
Kind : eBook
Book Rating : 717/5 ( reviews)
Book Synopsis Deterministic Nonlinear Systems by : Vadim S. Anishchenko
Download or read book Deterministic Nonlinear Systems written by Vadim S. Anishchenko. This book was released on 2014-06-16. Available in PDF, EPUB and Kindle. Book excerpt: This text is a short yet complete course on nonlinear dynamics of deterministic systems. Conceived as a modular set of 15 concise lectures it reflects the many years of teaching experience by the authors. The lectures treat in turn the fundamental aspects of the theory of dynamical systems, aspects of stability and bifurcations, the theory of deterministic chaos and attractor dimensions, as well as the elements of the theory of Poincare recurrences.Particular attention is paid to the analysis of the generation of periodic, quasiperiodic and chaotic self-sustained oscillations and to the issue of synchronization in such systems. This book is aimed at graduate students and non-specialist researchers with a background in physics, applied mathematics and engineering wishing to enter this exciting field of research.
