Introduction to Nonlinear Science

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Publisher : Cambridge University Press
ISBN 13 : 9780521467827
Total Pages : 274 pages
Book Rating : 4.4/5 (678 download)

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Book Synopsis Introduction to Nonlinear Science by : G. Nicolis

Download or read book Introduction to Nonlinear Science written by G. Nicolis and published by Cambridge University Press. This book was released on 1995-06-22 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this book is to develop a unified approach to nonlinear science, which does justice to its multiple facets and to the diversity and richness of the concepts and tools developed in this field over the years. Nonlinear science emerged in its present form following a series of closely related and decisive analytic, numerical and experimental developments that took place over the past three decades. It appeals to an extremely large variety of subject areas, but, at the same time, introduces into science a new way of thinking based on a subtle interplay between qualitative and quantitative techniques, topological and metric considerations and deterministic and statistical views. Special effort has been made throughout the book to illustrate both the development of the subject and the mathematical techniques, by reference to simple models. Each chapter concludes with a set of problems. This book will be of great value to graduate students in physics, applied mathematics, chemistry, engineering and biology taking courses in nonlinear science and its applications.

Non-Linear Phenomena in Science and Engineering

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Author :
Publisher : Ellis Horwood Limited
ISBN 13 : 9780131040434
Total Pages : 172 pages
Book Rating : 4.0/5 (44 download)

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Book Synopsis Non-Linear Phenomena in Science and Engineering by : George Rowlands

Download or read book Non-Linear Phenomena in Science and Engineering written by George Rowlands and published by Ellis Horwood Limited. This book was released on 1993 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematical Topics on Modelling Complex Systems

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Publisher : Springer Nature
ISBN 13 : 9811641692
Total Pages : 191 pages
Book Rating : 4.8/5 (116 download)

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Book Synopsis Mathematical Topics on Modelling Complex Systems by : J. A. Tenreiro Machado

Download or read book Mathematical Topics on Modelling Complex Systems written by J. A. Tenreiro Machado and published by Springer Nature. This book was released on 2022-06-08 with total page 191 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores recent developments in theoretical research and mathematical modelling of real-world complex systems, organized in four parts. The first part of the book is devoted to the mathematical tools for the design and analysis in engineering and social science study cases. We discuss the periodic evolutions in nonlinear chemical processes, vibro-compact systems and their behaviour, different types of metal–semiconductor self-assembled samples, made of silver nanowires and zinc oxide nanorods. The second part of the book is devoted to mathematical description and modelling of the critical events, climate change and robust emergency scales. In three chapters, we consider a climate-economy model with endogenous carbon intensity and the behaviour of Tehran Stock Exchange market under international sanctions. The third part of the book is devoted to fractional dynamic and fractional control problems. We discuss the novel operational matrix technique for variable-order fractional optimal control problems, the nonlinear variable-order time fractional convection–diffusion equation with generalized polynomials The fourth part of the book concerns solvability and inverse problems in differential and integro-differential equations. The book facilitates a better understanding of the mechanisms and phenomena in nonlinear dynamics and develops the corresponding mathematical theory to apply nonlinear design to practical engineering. It can be read by mathematicians, physicists, complex systems scientists, IT specialists, civil engineers, data scientists and urban planners.

Numerical Solutions of Realistic Nonlinear Phenomena

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Publisher : Springer Nature
ISBN 13 : 3030371417
Total Pages : 231 pages
Book Rating : 4.0/5 (33 download)

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Book Synopsis Numerical Solutions of Realistic Nonlinear Phenomena by : J. A. Tenreiro Machado

Download or read book Numerical Solutions of Realistic Nonlinear Phenomena written by J. A. Tenreiro Machado and published by Springer Nature. This book was released on 2020-02-19 with total page 231 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection covers new aspects of numerical methods in applied mathematics, engineering, and health sciences. It provides recent theoretical developments and new techniques based on optimization theory, partial differential equations (PDEs), mathematical modeling and fractional calculus that can be used to model and understand complex behavior in natural phenomena. Specific topics covered in detail include new numerical methods for nonlinear partial differential equations, global optimization, unconstrained optimization, detection of HIV- Protease, modelling with new fractional operators, analysis of biological models, and stochastic modelling.

Nonlinear Physics with Maple for Scientists and Engineers

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Publisher : Springer Science & Business Media
ISBN 13 : 1461213223
Total Pages : 674 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Nonlinear Physics with Maple for Scientists and Engineers by : Richard H. Enns

Download or read book Nonlinear Physics with Maple for Scientists and Engineers written by Richard H. Enns and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 674 pages. Available in PDF, EPUB and Kindle. Book excerpt: Philosophy of the Text This text presents an introductory survey of the basic concepts and applied mathematical methods of nonlinear science as well as an introduction to some simple related nonlinear experimental activities. Students in engineering, phys ics, chemistry, mathematics, computing science, and biology should be able to successfully use this book. In an effort to provide the reader with a cutting edge approach to one of the most dynamic, often subtle, complex, and still rapidly evolving, areas of modern research-nonlinear physics-we have made extensive use of the symbolic, numeric, and plotting capabilities of the Maple software sys tem applied to examples from these disciplines. No prior knowledge of Maple or computer programming is assumed, the reader being gently introduced to Maple as an auxiliary tool as the concepts of nonlinear science are developed. The CD-ROM provided with this book gives a wide variety of illustrative non linear examples solved with Maple. In addition, numerous annotated examples are sprinkled throughout the text and also placed on the CD. An accompanying set of experimental activities keyed to the theory developed in Part I of the book is given in Part II. These activities allow the student the option of "hands on" experience in exploring nonlinear phenomena in the REAL world. Although the experiments are easy to perform, they give rise to experimental and theoretical complexities which are not to be underestimated.

Nonlinear Oscillations in Physical Systems

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Publisher : Princeton University Press
ISBN 13 : 1400852870
Total Pages : 405 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Nonlinear Oscillations in Physical Systems by : Chihiro Hayashi

Download or read book Nonlinear Oscillations in Physical Systems written by Chihiro Hayashi and published by Princeton University Press. This book was released on 2014-07-14 with total page 405 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a fundamental explanation of nonlinear oscillations in physical systems. Originally intended for electrical engineers, it remains an important reference for the increasing numbers of researchers studying nonlinear phenomena in physics, chemical engineering, biology, medicine, and other fields. Originally published in 1986. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

Non Linear Phenomena in Materials Science II

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Publisher : Trans Tech Publications Ltd
ISBN 13 : 303570306X
Total Pages : 520 pages
Book Rating : 4.0/5 (357 download)

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Book Synopsis Non Linear Phenomena in Materials Science II by : G. Martin

Download or read book Non Linear Phenomena in Materials Science II written by G. Martin and published by Trans Tech Publications Ltd. This book was released on 1992-01-01 with total page 520 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of the main characteristics of materials science is that it deals with properties which often deviate from linear relationships when compared with such parameters as temperature, pressure, and concentration. The reasons for this behavior of materials are twofold: the speed of linear reaction can vary greatly, and abrupt changes may occur in the static or dynamic states of self-organisation.

Nonlinear Physics with Mathematica for Scientists and Engineers

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Publisher : Springer Science & Business Media
ISBN 13 : 9780817642235
Total Pages : 720 pages
Book Rating : 4.6/5 (422 download)

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Book Synopsis Nonlinear Physics with Mathematica for Scientists and Engineers by : Richard H. Enns

Download or read book Nonlinear Physics with Mathematica for Scientists and Engineers written by Richard H. Enns and published by Springer Science & Business Media. This book was released on 2001-06-26 with total page 720 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinear physics continues to be an area of dynamic modern research, with applications to physics, engineering, chemistry, mathematics, computer science, biology, medicine and economics. In this text extensive use is made of the Mathematica computer algebra system. No prior knowledge of Mathematica or programming is assumed. This book includes 33 experimental activities that are designed to deepen and broaden the reader's understanding of nonlinear physics. These activities are correlated with Part I, the theoretical framework of the text.

Applications of Chaos and Nonlinear Dynamics in Science and Engineering - Vol. 4

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Author :
Publisher : Springer
ISBN 13 : 3319170376
Total Pages : 308 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis Applications of Chaos and Nonlinear Dynamics in Science and Engineering - Vol. 4 by : Santo Banerjee

Download or read book Applications of Chaos and Nonlinear Dynamics in Science and Engineering - Vol. 4 written by Santo Banerjee and published by Springer. This book was released on 2015-05-04 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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. his fourth volume concentrates on reviewing further relevant contemporary applications of chaotic and nonlinear dynamics as they apply to the various cuttingedge branches of science and engineering. This encompasses, but is not limited to, topics such as synchronization in complex networks and chaotic circuits, time series analysis, ecological and biological patterns, stochastic control theory and vibrations in mechanical systems. 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.

Nonlinear Flow Phenomena and Homotopy Analysis

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Publisher : Springer Science & Business Media
ISBN 13 : 364232102X
Total Pages : 197 pages
Book Rating : 4.6/5 (423 download)

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Book Synopsis Nonlinear Flow Phenomena and Homotopy Analysis by : Kuppalapalle Vajravelu

Download or read book Nonlinear Flow Phenomena and Homotopy Analysis written by Kuppalapalle Vajravelu and published by Springer Science & Business Media. This book was released on 2013-07-22 with total page 197 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since most of the problems arising in science and engineering are nonlinear, they are inherently difficult to solve. Traditional analytical approximations are valid only for weakly nonlinear problems and often fail when used for problems with strong nonlinearity. “Nonlinear Flow Phenomena and Homotopy Analysis: Fluid Flow and Heat Transfer” presents the current theoretical developments of the analytical method of homotopy analysis. This book not only addresses the theoretical framework for the method, but also gives a number of examples of nonlinear problems that have been solved by means of the homotopy analysis method. The particular focus lies on fluid flow problems governed by nonlinear differential equations. This book is intended for researchers in applied mathematics, physics, mechanics and engineering. Both Kuppalapalle Vajravelu and Robert A. Van Gorder work at the University of Central Florida, USA.

Applications of Chaos and Nonlinear Dynamics in Science and Engineering - Vol. 3

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Publisher : Springer
ISBN 13 : 3642340172
Total Pages : 297 pages
Book Rating : 4.6/5 (423 download)

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Book Synopsis Applications of Chaos and Nonlinear Dynamics in Science and Engineering - Vol. 3 by : Santo Banerjee

Download or read book Applications of Chaos and Nonlinear Dynamics in Science and Engineering - Vol. 3 written by Santo Banerjee and published by Springer. This book was released on 2013-06-12 with total page 297 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 third volume concentrates on reviewing further relevant contemporary applications of chaotic nonlinear systems as they apply to the various cutting-edge branches of engineering. This encompasses, but is not limited to, topics such fluctuation relations and chaotic dynamics in physics, fractals and their applications in epileptic seizures, as well as chaos synchronization. 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.

Applications of Chaos and Nonlinear Dynamics in Science and Engineering - Vol. 2

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Publisher : Springer
ISBN 13 : 3642293298
Total Pages : 270 pages
Book Rating : 4.6/5 (422 download)

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Book Synopsis Applications of Chaos and Nonlinear Dynamics in Science and Engineering - Vol. 2 by : Santo Banerjee

Download or read book Applications of Chaos and Nonlinear Dynamics in Science and Engineering - Vol. 2 written by Santo Banerjee and published by Springer. This book was released on 2012-07-17 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 the quantitative modeling and analysis of complex, nonlinear phenomena are required, chaos theory and its methods can play a key role. This second volume concentrates on reviewing further relevant, contemporary applications of chaotic nonlinear systems as they apply to the various cutting-edge branches of engineering. This encompasses, but is not limited to, topics such as the spread of epidemics; electronic circuits; chaos control in mechanical devices; secure communication; and digital watermarking. Featuring contributions from active and leading research groups, this collection is ideal both as a reference work and as a ‘recipe book’ full of tried and tested, successful engineering applications.

Non-linear Phenomena in Science and Engineering

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Author :
Publisher : Ellis Horwood
ISBN 13 :
Total Pages : 186 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Non-linear Phenomena in Science and Engineering by : George Rowlands

Download or read book Non-linear Phenomena in Science and Engineering written by George Rowlands and published by Ellis Horwood. This book was released on 1990 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt: Providing an introduction to non-linear effects in science, this text describes both coherent phenomena - solutions - and chaotic ones. It emphasizes the analytic treatment of the effects by introducing simple models and encourages the use of personal computers for studying numerical computation.

Complex Motions and Chaos in Nonlinear Systems

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Publisher : Springer
ISBN 13 : 3319287648
Total Pages : 278 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis Complex Motions and Chaos in Nonlinear Systems by : Valentin Afraimovich

Download or read book Complex Motions and Chaos in Nonlinear Systems written by Valentin Afraimovich and published by Springer. This book was released on 2016-04-22 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book brings together 12 chapters on a new stream of research examining complex phenomena in nonlinear systems—including engineering, physics, and social science. Complex Motions and Chaos in Nonlinear Systems provides readers a particular vantage of the nature and nonlinear phenomena in nonlinear dynamics that can develop the corresponding mathematical theory and apply nonlinear design to practical engineering as well as the study of other complex phenomena including those investigated within social science.

Applications of Chaos and Nonlinear Dynamics in Engineering -

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Publisher : Springer Science & Business Media
ISBN 13 : 3642219217
Total Pages : 349 pages
Book Rating : 4.6/5 (422 download)

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Book Synopsis Applications of Chaos and Nonlinear Dynamics in Engineering - by : Santo Banerjee

Download or read book Applications of Chaos and Nonlinear Dynamics in Engineering - written by Santo Banerjee and published by Springer Science & Business Media. This book was released on 2011-09-10 with total page 349 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

IUTAM Symposium on Exploiting Nonlinear Dynamics for Engineering Systems

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Author :
Publisher : Springer
ISBN 13 : 3030236927
Total Pages : 316 pages
Book Rating : 4.0/5 (32 download)

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Book Synopsis IUTAM Symposium on Exploiting Nonlinear Dynamics for Engineering Systems by : Ivana Kovacic

Download or read book IUTAM Symposium on Exploiting Nonlinear Dynamics for Engineering Systems written by Ivana Kovacic and published by Springer. This book was released on 2019-07-24 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the proceedings of the IUTAM Symposium on Exploiting Nonlinear Dynamics for Engineering Systems that was held in Novi Sad, Serbia, from July 15th to 19th, 2018. The appearance of nonlinear phenomena used to be perceived as dangerous, with a general tendency to avoid them or control them. This perception has led to intensive research using various approaches and tailor-made tools developed over decades. However, the Nonlinear Dynamics of today is experiencing a profound shift of paradigm since recent investigations rely on a different strategy which brings good effects of nonlinear phenomena to the forefront. This strategy has a positive impact on different fields in science and engineering, such as vibration isolation, energy harvesting, micro/nano-electro-mechanical systems, etc. Therefore, the ENOLIDES Symposium was devoted to demonstrate the benefits and to unlock the potential of exploiting nonlinear dynamical behaviour in these but also in other emerging fields of science and engineering. This proceedings is useful for researchers in the fields of nonlinear dynamics of mechanical systems and structures, and in Mechanical and Civil Engineering.

Nonlinear Systems, Vol. 1

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Publisher : Springer
ISBN 13 : 3319667661
Total Pages : 428 pages
Book Rating : 4.3/5 (196 download)

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Book Synopsis Nonlinear Systems, Vol. 1 by : Victoriano Carmona

Download or read book Nonlinear Systems, Vol. 1 written by Victoriano Carmona and published by Springer. This book was released on 2018-09-15 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is part of a two volume set which presents the analysis of nonlinear phenomena as a long-standing challenge for research in basic and applied science as well as engineering. It discusses nonlinear differential and differential equations, bifurcation theory for periodic orbits and global connections. The integrability and reversibility of planar vector fields and theoretical analysis of classic physical models are sketched. This first volume concentrates on the mathematical theory and computational techniques that are essential for the study of nonlinear science, a second volume deals with real-world nonlinear phenomena in condensed matter, biology and optics.