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| Author | : Jan Awrejcewicz |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 424 |
| Release | : 2009-11-11 |
| Genre | : Technology & Engineering |
| ISBN | : 3540776761 |
This volume introduces new approaches to modeling strongly nonlinear behaviour of structural mechanical units: beams, plates and shells or composite systems. The text draws on bifurcation theory and chaos, emphasizing control and stability of objects and systems.
| Author | : Albert C. J. Luo |
| Publisher | : Springer |
| Total Pages | : 213 |
| Release | : 2018-01-16 |
| Genre | : Technology & Engineering |
| ISBN | : 9811052425 |
This book provides students and researchers with a systematic solution for fluid-induced structural vibrations, galloping instability and the chaos of cables. They will also gain a better understanding of stable and unstable periodic motions and chaos in fluid-induced structural vibrations. Further, the results presented here will help engineers effectively design and analyze fluid-induced vibrations.
| Author | : Masao Nakagawa |
| Publisher | : World Scientific |
| Total Pages | : 960 |
| Release | : 1999 |
| Genre | : Mathematics |
| ISBN | : 9789810238339 |
This book is written for all engineers, graduate students and beginners working in the application fields, and for experimental scientists in general. It is not presented as a purely theoretical treatise but shows mathematics at a workshop, so to speak, through important applications originating in a deep pure mathematical theory. Widely spread subjects which the author has encountered hitherto are briefly addressed in the book, as chaos and fractal science is a frontier of new research fields nowadays.
| 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 | : Mohammed S. El Naschie |
| Publisher | : |
| Total Pages | : 721 |
| Release | : 1992 |
| Genre | : Chaotic behavior in systems |
| ISBN | : 9780071126038 |
| Author | : Wanda Szemplinska-Stupnicka |
| Publisher | : Springer |
| Total Pages | : 198 |
| Release | : 2014-05-04 |
| Genre | : Technology & Engineering |
| ISBN | : 3709125960 |
Discoveries of chaotic, unpredictable behaviour in physical deterministic systems has brought about new analytic and experimental techniques in dynamics. The modern study of the new phenomena requires the analyst to become familiar with experiments (at least with numerical ones), since chaotic solutions cannot be written down, and it requires the experimenter to master the new concepts of the theory of nonlinear dynamical systems. This book is unique in that it presents both viewpoints: the viewpoint of the analyst and of the experimenter. In the first part F. Moon outlines the new experimental techniques which have emerged from the study of chaotic vibrations. These include Poincaré sections, fractial dimensions and Lapunov exponents. In the text by W. Szemplinska-Stupnicka the relation between the new chaotic phenomena and classical perturbation techniques is explored for the first time. In the third part G. Iooss presents methods of analysis for the calculations of bifurcations in nonlinear systems based on modern geometric mathematical concepts.
| Author | : Alan R Champneys |
| Publisher | : World Scientific |
| Total Pages | : 398 |
| Release | : 1999-11-30 |
| Genre | : Science |
| ISBN | : 9814494623 |
This book is a collection of recent reprints and new material on fundamentally nonlinear problems in structural systems which demonstrate localized responses to continuous inputs. It has two intended audiences. For mathematicians and physicists it should provide useful new insights into a classical yet rapidly developing area of application of the rich subject of dynamical systems theory. For workers in structural and solid mechanics it introduces a new methodology for dealing with structural localization and the related topic of the generation of solitary waves. Applications range from classical problems such as the buckling of cylindrical shells, twisted rods and pipelines, to the folding of geological strata, the failure of sandwich structures and the propagation of solitary waves in suspended beam systems.
| Author | : Miguel Angel Fernández Sanjuán |
| Publisher | : World Scientific |
| Total Pages | : 440 |
| Release | : 2010 |
| Genre | : Computers |
| ISBN | : 9814291706 |
This review volume consists an indispensable collection of research papers chronicling the recent progress in controlling chaos. Here, new theoretical ideas, as experimental implementations of controlling chaos, are included, while the applications contained in this volume can be referred to as turbulent magnetized plasmas, chaotic neural networks, modeling city traffic and models of interest in celestial mechanics. Recent Progress in Controlling Chaos provides an excellent broad overview of the subject matter, and will be especially useful for graduate students, researchers and scientists working in the areas of nonlinear dynamics, chaos and complex systems. The authors, world-renowned scientists and prominent experts in the field of controlling chaos, will offer readers through their research works, a fascinating insight into the state-of-the-art technology used in the progress in key techniques and concepts in the field of control.
| Author | : Jan Awrejcewicz |
| Publisher | : BoD – Books on Demand |
| Total Pages | : 492 |
| Release | : 2014-02-12 |
| Genre | : Computers |
| ISBN | : 9535112201 |
Computational and Numerical Simulations is an edited book including 20 chapters. Book handles the recent research devoted to numerical simulations of physical and engineering systems. It presents both new theories and their applications, showing bridge between theoretical investigations and possibility to apply them by engineers of different branches of science. Numerical simulations play a key role in both theoretical and application oriented research.
