Nonlinear Dynamics Materials Theory And Experiments

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Nonlinear Dynamics: Materials, Theory and Experiments

Mustapha Tlidi,Marcel. G. Clerc
Nonlinear Dynamics Materials Theory and Experiments Book PDF

Author : Mustapha Tlidi,Marcel. G. Clerc
Publisher : Springer
Page : 361 pages
File Size : 52,5 Mb
Release : 2015-11-14
Category : Science
ISBN : 9783319248714

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Nonlinear Dynamics: Materials, Theory and Experiments by Mustapha Tlidi,Marcel. G. Clerc Pdf

This book presents recent advances, new ideas and novel techniques related to the field of nonlinear dynamics, including localized pattern formation, self-organization and chaos. Various natural systems ranging from nonlinear optics to mechanics, fluids and magnetic are considered. The aim of this book is to gather specialists from these various fields of research to promote cross-fertilization and transfer of knowledge between these active research areas. In particular, nonlinear optics and laser physics constitute an important part in this issue due to the potential applications for all-optical control of light, optical storage, and information processing. Other possible applications include the generation of ultra-short pulses using all-fiber cavities.

Nonlinear Dynamics

Muthusamy Lakshmanan,Shanmuganathan Rajaseekar
Nonlinear Dynamics Book PDF

Author : Muthusamy Lakshmanan,Shanmuganathan Rajaseekar
Publisher : Springer Science & Business Media
Page : 628 pages
File Size : 42,8 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783642556883

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Nonlinear Dynamics by Muthusamy Lakshmanan,Shanmuganathan Rajaseekar Pdf

This self-contained treatment covers all aspects of nonlinear dynamics, from fundamentals to recent developments, in a unified and comprehensive way. Numerous examples and exercises will help the student to assimilate and apply the techniques presented.

Nonlinear Dynamics

H.G Solari
Nonlinear Dynamics Book PDF

Author : H.G Solari
Publisher : Routledge
Page : 369 pages
File Size : 42,5 Mb
Release : 2019-01-22
Category : Mathematics
ISBN : 9781351428309

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Nonlinear Dynamics by H.G Solari Pdf

Nonlinear Dynamics: A Two-Way Trip from Physics to Math provides readers with the mathematical tools of nonlinear dynamics to tackle problems in all areas of physics. The selection of topics emphasizes bifurcation theory and topological analysis of dynamical systems. The book includes real-life problems and experiments as well as exercises and work

Nonlinear Dynamics and Chaos

Steven H. Strogatz
Nonlinear Dynamics and Chaos Book PDF

Author : Steven H. Strogatz
Publisher : CRC Press
Page : 532 pages
File Size : 53,5 Mb
Release : 2018-05-04
Category : Mathematics
ISBN : 9780429961113

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Nonlinear Dynamics and Chaos by Steven H. Strogatz Pdf

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.

Methods And Applications Of Nonlinear Dynamics

A Saenz
Methods And Applications Of Nonlinear Dynamics Book PDF

Author : A Saenz
Publisher : World Scientific
Page : 292 pages
File Size : 46,8 Mb
Release : 1988-05-01
Category : Mathematics
ISBN : 9789813201743

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Methods And Applications Of Nonlinear Dynamics by A Saenz Pdf

The present volume on Methods and Applications of Nonlinear Dynamics arose mainly from lectures given at the First International Course on Nonlinear Dynamics, which took place in Medellin, Colombia, on 1-5 September 1986. The aims of the Course were to discuss some of the fundamental theoretical ideas of modem nonlinear dynamics and their application to selected areas of physics, and also to help the participants to bridge the gap between textbook presentations and the contemporary research literature. The lectures were intended for and delivered to a PhD-level audience composed of physicists and mathematicians. They were not primarily intended for experts, but rather for scientists interested in performing experimental or theoretical research on nonlinear dynamical phenomena occurring in real physical systems.

Introduction to Experimental Nonlinear Dynamics

Lawrence N. Virgin
Introduction to Experimental Nonlinear Dynamics Book PDF

Author : Lawrence N. Virgin
Publisher : Cambridge University Press
Page : 270 pages
File Size : 46,6 Mb
Release : 2000-03-28
Category : Science
ISBN : 0521779316

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Introduction to Experimental Nonlinear Dynamics by Lawrence N. Virgin Pdf

A case study in mechanical vibration introduces the subject of nonlinear dynamics and chaos.

High-Entropy Materials: Theory, Experiments, and Applications

Jamieson Brechtl,Peter K. Liaw
High Entropy Materials Theory Experiments and Applications Book PDF

Author : Jamieson Brechtl,Peter K. Liaw
Publisher : Springer Nature
Page : 776 pages
File Size : 43,8 Mb
Release : 2022-01-03
Category : Technology & Engineering
ISBN : 9783030776411

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High-Entropy Materials: Theory, Experiments, and Applications by Jamieson Brechtl,Peter K. Liaw Pdf

This book discusses fundamental studies involving the history, modelling, simulation, experimental work, and applications on high-entropy materials. Topics include data-driven and machine-learning approaches, additive-manufacturing techniques, computational and analytical methods, such as density functional theory and multifractal analysis, mechanical behavior, high-throughput methods, and irradiation effects. The types of high-entropy materials consist of alloys, oxides, and ceramics. The book then concludes with a discussion on potential future applications of these novel materials.

Introduction to Nonlinear Dynamics for Physicists

H D I Abarbanel,M I Rabinovich,M M Sushchik
Introduction to Nonlinear Dynamics for Physicists Book PDF

Author : H D I Abarbanel,M I Rabinovich,M M Sushchik
Publisher : World Scientific
Page : 168 pages
File Size : 49,5 Mb
Release : 1993-06-23
Category : Science
ISBN : 9789814504126

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Introduction to Nonlinear Dynamics for Physicists by H D I Abarbanel,M I Rabinovich,M M Sushchik Pdf

This series of lectures aims to address three main questions that anyone interested in the study of nonlinear dynamics should ask and ponder over. What is nonlinear dynamics and how does it differ from linear dynamics which permeates all familiar textbooks? Why should the physicist study nonlinear systems and leave the comfortable territory of linearity? How can one progress in the study of nonlinear systems both in the analysis of these systems and in learning about new systems from observing their experimental behavior? While it is impossible to answer these questions in the finest detail, this series of lectures nonetheless successfully points the way for the interested reader. Other useful problems have also been incorporated as a study guide. By presenting both substantial qualitative information about phenomena in nonlinear systems and at the same time sufficient quantitative material, the author hopes that readers would learn how to progress on their own in the study of such similar material hereon. Contents:IntroductionNonlinear Oscillator without DissipationEquilibrium States of a Nonlinear Oscillator with DissipationOscillations in Systems with Nonlinear Dissipation-GeneratorsThe Van der Pol GeneratorThe Poincaré MapSlow and Fast Motions in Systems with One Degree of FreedomForced Nonlinear Oscillators: Linear and Nonlinear ResonancesForced Generator: SynchronizationCompetition of ModesPoincaré Indices and Bifurcations of Equilibrium StatesResonance Interactions between OscillatorsSolitonsSteady Propagation of Shock WavesFormation of Shock WavesSolitons. Shock Waves. Wave Interaction. The Spectral ApproachWeak Turbulence. Random Phase ApproximationRegular Patterns in Dissipative MediaDeterministic Chaos. Qualitative DescriptionDescription of a Circuit with Chaos. Chaos in MapsBifurcations of Periodic Motions. Period DoublingControlled Nonlinear Oscillator. IntermittencyScenarios of the Onset of Chaos. Chaos through Quasi-PeriodicityCharacteristics of Chaos. Experimental Observation of ChaosMultidimensional Chaos. Discrete Ginzburg-Landau ModelProblems to Accompany the Lectures Readership: Physicists. keywords: “These lecture notes briefly introduce the reader to new ideas, so would be a useful addition to a library or a source of ideas for lectures or projects; a good student may also find this text useful as a quick introduction to many new ideas.” Contemporary Physics “Introduction to Nonlinear Dynamics for Physicists … is a compact and fairly terse high-level set of 24 lectures.” New Scientist

Problems of Nonlinear Mechanics and Physics of Materials

Igor V. Andrianov,Arkadiy I. Manevich,Yuri V. Mikhlin,Oleg V. Gendelman
Problems of Nonlinear Mechanics and Physics of Materials Book PDF

Author : Igor V. Andrianov,Arkadiy I. Manevich,Yuri V. Mikhlin,Oleg V. Gendelman
Publisher : Springer
Page : 527 pages
File Size : 42,8 Mb
Release : 2018-07-31
Category : Science
ISBN : 9783319922348

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Problems of Nonlinear Mechanics and Physics of Materials by Igor V. Andrianov,Arkadiy I. Manevich,Yuri V. Mikhlin,Oleg V. Gendelman Pdf

This book presents contributions on the current problems in a number of topical areas of nonlinear dynamics and physics, written by experts from Russia, Ukraine, Israel, Germany, Poland, Italy, the Netherlands, the USA, and France. The book is dedicated to Professor Leonid I. Manevitch, an outstanding scholar in the fields of Mechanics of Solids, Nonlinear Dynamics, and Polymer Physics, on the occasion of his 80th birthday.

Nonlinear Dynamics and Chaos: Advances and Perspectives

Marco Thiel,Jürgen Kurths,M. Carmen Romano,György Károlyi,Alessandro Moura
Nonlinear Dynamics and Chaos Advances and Perspectives Book PDF

Author : Marco Thiel,Jürgen Kurths,M. Carmen Romano,György Károlyi,Alessandro Moura
Publisher : Springer
Page : 300 pages
File Size : 44,9 Mb
Release : 2010-05-17
Category : Science
ISBN : 9783642046292

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Nonlinear Dynamics and Chaos: Advances and Perspectives by Marco Thiel,Jürgen Kurths,M. Carmen Romano,György Károlyi,Alessandro Moura Pdf

This book is a collection of papers contributed by some of the greatest names in the areas of chaos and nonlinear dynamics. Each paper examines a research topic at the frontier of the area of dynamical systems. As well as reviewing recent results, each paper also discusses the future perspectives of each topic. The result is an invaluable snapshot of the state of the ?eld by some of the most important researchers in the area. The ?rst contribution in this book (the section entitled “How did you get into Chaos?”) is actually not a paper, but a collection of personal accounts by a number of participants of the conference held in Aberdeen in September 2007 to honour Celso Grebogi’s 60th birthday. At the instigation of James Yorke, many of the most well-known scientists in the area agreed to share their tales on how they got involved in chaos during a celebratory dinner in Celso’s honour during the conference. This was recorded in video, we felt that these accounts were a valuable historic document for the ?eld. So we decided to transcribe it and include it here as the ?rst section of the book.

Nonlinear Dynamics of Nanosystems

Günter Radons,Benno Rumpf,Heinz Georg Schuster
Nonlinear Dynamics of Nanosystems Book PDF

Author : Günter Radons,Benno Rumpf,Heinz Georg Schuster
Publisher : John Wiley & Sons
Page : 475 pages
File Size : 49,5 Mb
Release : 2010-01-12
Category : Technology & Engineering
ISBN : 3527629386

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Nonlinear Dynamics of Nanosystems by Günter Radons,Benno Rumpf,Heinz Georg Schuster Pdf

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.

Nonlinear Dynamics of Continuous Elastic Systems

Jan Awrejcewicz,Vadim Anatolevich Krys'ko,Alexander F. Vakakis
Nonlinear Dynamics of Continuous Elastic Systems Book PDF

Author : Jan Awrejcewicz,Vadim Anatolevich Krys'ko,Alexander F. Vakakis
Publisher : Springer Science & Business Media
Page : 342 pages
File Size : 46,7 Mb
Release : 2013-03-14
Category : Technology & Engineering
ISBN : 9783662089927

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Nonlinear Dynamics of Continuous Elastic Systems by Jan Awrejcewicz,Vadim Anatolevich Krys'ko,Alexander F. Vakakis Pdf

This monograph is devoted to recent advances in nonlinear dynamics of continuous elastic systems. A major part of the book is dedicated to the analysis of non-homogeneous continua, e.g. plates and shells characterized by sudden changes in their thickness, possessing holes in their bodies or/and edges, made from different materials with diverse dynamical characteristics and complicated boundary conditions. New theoretical and numerical approaches for analyzing the dynamics of such continua are presented, such as the method of added masses and the method of proper orthogonal decomposition. The presented hybrid approach leads to results that cannot be obtained by other standard theories in the field. The demonstrated methods are illustrated by numerous examples of application.

Applied Nonlinear Dynamics and Chaos of Mechanical Systems with Discontinuities

Marian Wiercigroch,Bram de Kraker
Applied Nonlinear Dynamics and Chaos of Mechanical Systems with Discontinuities Book PDF

Author : Marian Wiercigroch,Bram de Kraker
Publisher : World Scientific
Page : 464 pages
File Size : 47,8 Mb
Release : 2000-04-28
Category : Science
ISBN : 9789814497909

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Applied Nonlinear Dynamics and Chaos of Mechanical Systems with Discontinuities by Marian Wiercigroch,Bram de Kraker Pdf

Rapid developments in nonlinear dynamics and chaos theory have led to publication of many valuable monographs and books. However, most of these texts are devoted to the classical nonlinear dynamics systems, for example the Duffing or van der Pol oscillators, and either neglect or refer only briefly to systems with motion-dependent discontinuities. In engineering practice a good part of problems is discontinuous in nature, due to either deliberate reasons such as the introduction of working clearance, and/or the finite accuracy of the manufacturing processes. The main objective of this volume is to provide a general methodology for describing, solving and analysing discontinuous systems. It is compiled from the dedicated contributions written by experts in the field of applied nonlinear dynamics and chaos. The main focus is on mechanical engineering problems where clearances, piecewise stiffness, intermittent contact, variable friction or other forms of discontinuity occur. Practical applications include vibration absorbers, percussive drilling of hard materials and dynamics of metal cutting. Contents:PreliminariesMathematical Models of Mechanical Systems with DiscontinuitiesTemporal and Spatial Discontinuity TransformationsExtensions of Cell Mapping for Discontinuous SystemsImpact OscillatorDynamics of Piecewise Linear OscillatorsQuenching of Self-Excited Vibrations by Impact DamperDynamic Phenomena in Gear BoxesRigorous Methods and Numerical Results for Dry Friction ProblemsForced Self-Excited Vibration with Dry FrictionStick–Slip and the Phase-Space ReconstructionMultidegree of Freedom Systems with Dry FrictionDynamic Instabilities in Spinning DisksImpacts and Dry FrictionNonlinear Dynamics of Orthogonal Metal CuttingDynamics of Ultrasonic Drilling of Hard Materials Readership: Mechanical engineers. keywords:Nonlinear Dynamics;Discontinuity;Mechanical System;Impacts;Dry Friction;Applications;Chaos “… this volume provides readers with an excellent treatment of such discontinuous systems and can be a good source of ideas to attack those systems effectively … one is immediately obliged to recognize that it is in fact a series of fifteen jewels, which one would hardly find in the relevant more mathematically oriented literature.” Mathematical Reviews

Localization And Solitary Waves In Solid Mechanics

Alan R Champneys,G W Hunt,J Michael T Thompson
Localization And Solitary Waves In Solid Mechanics Book PDF

Author : Alan R Champneys,G W Hunt,J Michael T Thompson
Publisher : World Scientific
Page : 398 pages
File Size : 48,8 Mb
Release : 1999-11-30
Category : Science
ISBN : 9789814494625

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Localization And Solitary Waves In Solid Mechanics by Alan R Champneys,G W Hunt,J Michael T Thompson Pdf

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.

Nonlinear Dynamics in Physiology and Medicine

Anne Beuter,Leon Glass,Michael C. Mackey,Michele S. Titcombe
Nonlinear Dynamics in Physiology and Medicine Book PDF

Author : Anne Beuter,Leon Glass,Michael C. Mackey,Michele S. Titcombe
Publisher : Springer Science & Business Media
Page : 452 pages
File Size : 53,9 Mb
Release : 2013-06-05
Category : Mathematics
ISBN : 9780387216409

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Nonlinear Dynamics in Physiology and Medicine by Anne Beuter,Leon Glass,Michael C. Mackey,Michele S. Titcombe Pdf

Introduces concepts from nonlinear dynamics using an almost exclusively biological setting for motivation, and includes examples of how these concepts are used in experimental investigations of biological and physiological systems. One novel feature of the book is the inclusion of classroom-tested computer exercises. This book will appeal to students and researchers working in the natural and physical sciences wanting to learn about physiological systems from a mathematical perspective.