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| Author | : Valeriĭ Viktorovich Tuchin |
| Publisher | : SPIE-International Society for Optical Engineering |
| Total Pages | : 218 |
| Release | : 1997 |
| Genre | : Medical |
| ISBN | : |
| Author | : Günter Radons |
| Publisher | : John Wiley & Sons |
| Total Pages | : 475 |
| Release | : 2010-01-12 |
| Genre | : Technology & Engineering |
| ISBN | : 9783527629381 |
A discussion of the fundamental changes that occur when dynamical systems from the fields of nonlinear optics, solids, hydrodynamics and biophysics are scaled down to nanosize. The authors are leading scientists in the field and each of their contributions provides a broader introduction to the specific area of research. In so doing, they include both the experimental and theoretical point of view, focusing especially on the effects on the nonlinear dynamical behavior of scaling, stochasticity and quantum mechanics. For everybody working on the synthesis and integration of nanoscopic devices who sooner or later will have to learn how to deal with nonlinear effects.
| Author | : Marian Wiercigroch |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 442 |
| Release | : 2013-01-11 |
| Genre | : Technology & Engineering |
| ISBN | : 9400757425 |
Nonlinear dynamics has been enjoying a vast development for nearly four decades resulting in a range of well established theory, with the potential to significantly enhance performance, effectiveness, reliability and safety of physical systems as well as offering novel technologies and designs. By critically appraising the state of the art, it is now time to develop design criteria and technology for new generation products/processes operating on principles of nonlinear interaction and in the nonlinear regime, leading to more effective, sensitive, accurate, and durable methods than what is currently available. This new approach is expected to radically influence the design, control and exploitation paradigms, in a magnitude of contexts. With a strong emphasis on experimentally calibrated and validated models, contributions by top-level international experts will foster future directions for the development of engineering technologies and design using robust nonlinear dynamics modelling and analysis.
| Author | : Jan Awrejcewicz |
| Publisher | : Springer Nature |
| Total Pages | : 286 |
| Release | : 2022-01-04 |
| Genre | : Mathematics |
| ISBN | : 303077306X |
This volume is part of collection of contributions devoted to analytical and experimental techniques of dynamical systems, presented at the 15th International Conference “Dynamical Systems: Theory and Applications”, held in Łódź, Poland on December 2-5, 2019. The wide selection of material has been divided into three volumes, each focusing on a different field of applications of dynamical systems. The broadly outlined focus of both the conference and these books includes bifurcations and chaos in dynamical systems, asymptotic methods in nonlinear dynamics, dynamics in life sciences and bioengineering, original numerical methods of vibration analysis, control in dynamical systems, optimization problems in applied sciences, stability of dynamical systems, experimental and industrial studies, vibrations of lumped and continuous systems, non-smooth systems, engineering systems and differential equations, mathematical approaches to dynamical systems, and mechatronics.
| Author | : Paul R. Josephson |
| Publisher | : |
| Total Pages | : 351 |
| Release | : 1997 |
| Genre | : Science |
| ISBN | : 9780691044545 |
In 1958 construction began on Akademgorodok, a scientific utopian community modeled after Francis Bacon's vision of a "New Atlantis." The city, carved out of a Siberian forest 2,500 miles east of Moscow, was formed by Soviet scientists with Khrushchev's full support. They believed that their rational science, liberated from ideological and economic constraints, would help their country surpass the West in all fields. In a lively history of this city, a symbol of de-Stalinization, Paul Josephson offers the most complete analysis available of the reasons behind the successes and failures of Soviet science--from advances in nuclear physics to politically induced setbacks in research on recombinant DNA. Josephson presents case studies of high energy physics, genetics, computer science, environmentalism, and social sciences. He reveals that persistent ideological interference by the Communist Party, financial uncertainties, and pressures to do big science endemic in the USSR contributed to the failure of Akademgorodok to live up to its promise. Still, a kind of openness reigned that presaged the glasnost of Gorbachev's administration decades later. The openness was rooted in the geographical and psychological distance from Moscow and in the informal culture of exchange intended to foster the creative impulse. Akademgorodok is still an important research center, having exposed physics, biology, sociology, economics, and computer science to new investigations, distinct in pace and scope from those performed elsewhere in the Soviet scientific establishment.
| Author | : M. Matthies |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 626 |
| Release | : 2001-08-28 |
| Genre | : Medical |
| ISBN | : 9783540412922 |
At the start of the new millennium, mankind is challenged by a paradox: the more we know about the world the more uncertain we become in understanding and predicting how it works. This book presents an outline of a new basis for Systems Science, and a methodology for its application in complex environmental, economic, social, and technological systems.
| Author | : Ravi P Agarwal |
| Publisher | : Springer |
| Total Pages | : 514 |
| Release | : 2014-11-11 |
| Genre | : Mathematics |
| ISBN | : 3319108700 |
The book records the essential discoveries of mathematical and computational scientists in chronological order, following the birth of ideas on the basis of prior ideas ad infinitum. The authors document the winding path of mathematical scholarship throughout history, and most importantly, the thought process of each individual that resulted in the mastery of their subject. The book implicitly addresses the nature and character of every scientist as one tries to understand their visible actions in both adverse and congenial environments. The authors hope that this will enable the reader to understand their mode of thinking, and perhaps even to emulate their virtues in life.
| Author | : Jan Awrejcewicz |
| Publisher | : World Scientific |
| Total Pages | : 577 |
| Release | : 2016-03-14 |
| Genre | : Science |
| ISBN | : 9814719714 |
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 | : Jean-Marc Ginoux |
| Publisher | : Springer |
| Total Pages | : 402 |
| Release | : 2017-04-18 |
| Genre | : Technology & Engineering |
| ISBN | : 3319552392 |
This book reveals the French scientific contribution to the mathematical theory of nonlinear oscillations and its development. The work offers a critical examination of sources with a focus on the twentieth century, especially the period between the wars. Readers will see that, contrary to what is often written, France's role has been significant. Important contributions were made through both the work of French scholars from within diverse disciplines (mathematicians, physicists, engineers), and through the geographical crossroads that France provided to scientific communication at the time. This study includes an examination of the period before the First World War which is vital to understanding the work of the later period. By examining literature sources such as periodicals on the topic of electricity from that era, the author has unearthed a very important text by Henri Poincaré, dating from 1908. In this work Poincaré applied the concept of limit cycle (which he had introduced in 1882 through his own works) to study the stability of the oscillations of a device for radio engineering. The “discovery” of this text means that the classical perspective of the historiography of this mathematical theory must be modified. Credit was hitherto attributed to the Russian mathematician Andronov, from correspondence dating to 1929. In the newly discovered Poincaré text there appears to be a strong interaction between science and technology or, more precisely, between mathematical analysis and radio engineering. This feature is one of the main components of the process of developing the theory of nonlinear oscillations. Indeed it is a feature of many of the texts referred to in these chapters, as they trace the significant developments to which France contributed. Scholars in the fields of the history of mathematics and the history of science, and anyone with an interest in the philosophical underpinnings of science will find this a particularly engaging account of scientific discovery and scholarly communication from an era full of exciting developments.
