Applications of Nonlinear Dynamics

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Release : 2009-02-11
Genre : Technology & Engineering
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Book Rating : 323/5 ( reviews)

Applications of Nonlinear Dynamics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Applications of Nonlinear Dynamics write by Visarath In. This book was released on 2009-02-11. Applications of Nonlinear Dynamics available in PDF, EPUB and Kindle. The ?eld of applied nonlinear dynamics has attracted scientists and engineers across many different disciplines to develop innovative ideas and methods to study c- plex behavior exhibited by relatively simple systems. Examples include: population dynamics, ?uidization processes, applied optics, stochastic resonance, ?ocking and ?ightformations,lasers,andmechanicalandelectricaloscillators. Acommontheme among these and many other examples is the underlying universal laws of nonl- ear science that govern the behavior, in space and time, of a given system. These laws are universal in the sense that they transcend the model-speci?c features of a system and so they can be readily applied to explain and predict the behavior of a wide ranging phenomena, natural and arti?cial ones. Thus the emphasis in the past decades has been in explaining nonlinear phenomena with signi?cantly less att- tion paid to exploiting the rich behavior of nonlinear systems to design and fabricate new devices that can operate more ef?ciently. Recently, there has been a series of meetings on topics such as Experimental Chaos, Neural Coding, and Stochastic Resonance, which have brought together many researchers in the ?eld of nonlinear dynamics to discuss, mainly, theoretical ideas that may have the potential for further implementation. In contrast, the goal of the 2007 ICAND (International Conference on Applied Nonlinear Dynamics) was focused more sharply on the implementation of theoretical ideas into actual - vices and systems.

Nonlinear Dynamics and Chaos

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Release : 2018-05-04
Genre : Mathematics
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Book Rating : 111/5 ( reviews)

Nonlinear Dynamics and Chaos - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Nonlinear Dynamics and Chaos write by Steven H. Strogatz. This book was released on 2018-05-04. Nonlinear Dynamics and Chaos available in PDF, EPUB and Kindle. 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.

Applications of Chaos and Nonlinear Dynamics in Engineering -

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Release : 2011-09-10
Genre : Technology & Engineering
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Book Rating : 217/5 ( reviews)

Applications of Chaos and Nonlinear Dynamics in Engineering - - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Applications of Chaos and Nonlinear Dynamics in Engineering - write by Santo Banerjee. This book was released on 2011-09-10. Applications of Chaos and Nonlinear Dynamics in Engineering - available in PDF, EPUB and Kindle. Chaos and nonlinear dynamics initially developed as a new emergent field with its foundation in physics and applied mathematics. The highly generic, interdisciplinary quality of the insights gained in the last few decades has spawned myriad applications in almost all branches of science and technology—and even well beyond. Wherever quantitative modeling and analysis of complex, nonlinear phenomena is required, chaos theory and its methods can play a key role. This volume concentrates on reviewing the most relevant contemporary applications of chaotic nonlinear systems as they apply to the various cutting-edge branches of engineering. The book covers the theory as applied to robotics, electronic and communication engineering (for example chaos synchronization and cryptography) as well as to civil and mechanical engineering, where its use in damage monitoring and control is explored). Featuring contributions from active and leading research groups, this collection is ideal both as a reference and as a ‘recipe book’ full of tried and tested, successful engineering applications

Understanding Nonlinear Dynamics

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Release : 2012-12-06
Genre : Mathematics
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Book Rating : 238/5 ( reviews)

Understanding Nonlinear Dynamics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Understanding Nonlinear Dynamics write by Daniel Kaplan. This book was released on 2012-12-06. Understanding Nonlinear Dynamics available in PDF, EPUB and Kindle. Mathematics is playing an ever more important role in the physical and biological sciences, provoking a blurring of boundaries between scientific disciplines and a resurgence of interest in the modern as well as the classical techniques of applied mathematics. This renewal of interest, both in research and teaching, has led to the establishment of the series: Texts in Applied Mathematics ( TAM). The development of new courses is a natural consequence of a high level of excitement on the research frontier as newer techniques, such as numerical and symbolic computer systems, dynamical systems, and chaos, mix with and reinforce the traditional methods of applied mathematics. Thus, the purpose of this textbook series is to meet the current and future needs of these advances and encourage the teaching of new courses. TAM will publish textbooks suitable for use in advanced undergraduate and beginning graduate courses, and will complement the Applied Mathematical Sciences (AMS) series, which will focus on advanced textbooks and research level monographs. About the Authors Daniel Kaplan specializes in the analysis of data using techniques motivated by nonlinear dynamics. His primary interest is in the interpretation of irregular physiological rhythms, but the methods he has developed have been used in geo physics, economics, marine ecology, and other fields. He joined McGill in 1991, after receiving his Ph.D from Harvard University and working at MIT. His un dergraduate studies were completed at Swarthmore College. He has worked with several instrumentation companies to develop novel types of medical monitors.

Nonlinear Dynamics

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Release : 2022-03-13
Genre : Science
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Book Rating : 326/5 ( reviews)

Nonlinear Dynamics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Nonlinear Dynamics write by George Datseris. This book was released on 2022-03-13. Nonlinear Dynamics available in PDF, EPUB and Kindle. This concise and up-to-date textbook provides an accessible introduction to the core concepts of nonlinear dynamics as well as its existing and potential applications. The book is aimed at students and researchers in all the diverse fields in which nonlinear phenomena are important. Since most tasks in nonlinear dynamics cannot be treated analytically, skills in using numerical simulations are crucial for analyzing these phenomena. The text therefore addresses in detail appropriate computational methods as well as identifying the pitfalls of numerical simulations. It includes numerous executable code snippets referring to open source Julia software packages. Each chapter includes a selection of exercises with which students can test and deepen their skills.