Non-Linear Phenomena in Science and Engineering

Non-Linear Phenomena in Science and Engineering PDF Author: George Rowlands
Publisher: Ellis Horwood Limited
ISBN: 9780131040434
Category : Mathematical physics
Languages : en
Pages : 172

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Book Description

Non-Linear Phenomena in Science and Engineering

Non-Linear Phenomena in Science and Engineering PDF Author: George Rowlands
Publisher: Ellis Horwood Limited
ISBN: 9780131040434
Category : Mathematical physics
Languages : en
Pages : 172

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Book Description


Numerical Solutions of Realistic Nonlinear Phenomena

Numerical Solutions of Realistic Nonlinear Phenomena PDF Author: J. A. Tenreiro Machado
Publisher: Springer Nature
ISBN: 3030371417
Category : Mathematics
Languages : en
Pages : 231

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Book Description
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

Nonlinear Physics with Maple for Scientists and Engineers PDF Author: Richard H. Enns
Publisher: Springer Science & Business Media
ISBN: 1461213223
Category : Science
Languages : en
Pages : 674

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Book Description
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.

Mathematical Topics on Modelling Complex Systems

Mathematical Topics on Modelling Complex Systems PDF Author: J. A. Tenreiro Machado
Publisher: Springer Nature
ISBN: 9811641692
Category : Mathematics
Languages : en
Pages : 191

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Book Description
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.

Nonlinear Oscillations in Physical Systems

Nonlinear Oscillations in Physical Systems PDF Author: Chihiro Hayashi
Publisher: Princeton University Press
ISBN: 1400852870
Category : Science
Languages : en
Pages : 405

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Book Description
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.

Nonlinear Physics with Mathematica for Scientists and Engineers

Nonlinear Physics with Mathematica for Scientists and Engineers PDF Author: Richard H. Enns
Publisher: Springer Science & Business Media
ISBN: 9780817642235
Category : Mathematics
Languages : en
Pages : 720

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Book Description
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.

Non Linear Phenomena in Materials Science II

Non Linear Phenomena in Materials Science II PDF Author: G. Martin
Publisher: Trans Tech Publications Ltd
ISBN: 303570306X
Category : Technology & Engineering
Languages : en
Pages : 520

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Book Description
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.

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

Applications of Chaos and Nonlinear Dynamics in Science and Engineering - Vol. 4 PDF Author: Santo Banerjee
Publisher: Springer
ISBN: 3319170376
Category : Science
Languages : en
Pages : 308

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Book Description
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.

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

Applications of Chaos and Nonlinear Dynamics in Science and Engineering - Vol. 3 PDF Author: Santo Banerjee
Publisher: Springer
ISBN: 3642340172
Category : Science
Languages : en
Pages : 297

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Book Description
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

Applications of Chaos and Nonlinear Dynamics in Science and Engineering - Vol. 2 PDF Author: Santo Banerjee
Publisher: Springer
ISBN: 3642293298
Category : Technology & Engineering
Languages : en
Pages : 270

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Book Description
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.