Recent Advances In Applied Nonlinear Dynamics With Numerical Analysis

Recent Advances In Applied Nonlinear Dynamics With Numerical Analysis Book in PDF, ePub and Kindle version is available to download in english. Read online anytime anywhere directly from your device. Click on the download button below to get a free pdf file of Recent Advances In Applied Nonlinear Dynamics With Numerical Analysis book. This book definitely worth reading, it is an incredibly well-written.

Recent Advances in Applied Nonlinear Dynamics with Numerical Analysis

Changpin Li
Recent Advances in Applied Nonlinear Dynamics with Numerical Analysis Book PDF

Author : Changpin Li
Publisher : World Scientific
Page : 414 pages
File Size : 45,9 Mb
Release : 2013
Category : Science
ISBN : 9789814436465

Get Book

Recent Advances in Applied Nonlinear Dynamics with Numerical Analysis by Changpin Li Pdf

Nonlinear dynamics is still a hot and challenging topic. In this edited book, we focus on fractional dynamics, infinite dimensional dynamics defined by the partial differential equation, network dynamics, fractal dynamics, and their numerical analysis and simulation.Fractional dynamics is a new topic in the research field of nonlinear dynamics which has attracted increasing interest due to its potential applications in the real world, such as modeling memory processes and materials. In this part, basic theory for fractional differential equations and numerical simulations for these equations will be introduced and discussed.In the infinite dimensional dynamics part, we emphasize on numerical calculation and theoretical analysis, including constructing various numerical methods and computing the corresponding limit sets, etc.In the last part, we show interest in network dynamics and fractal dynamics together with numerical simulations as well as their applications.

Applied Nonlinear Dynamics

Ali H. Nayfeh,Balakumar Balachandran
Applied Nonlinear Dynamics Book PDF

Author : Ali H. Nayfeh,Balakumar Balachandran
Publisher : John Wiley & Sons
Page : 700 pages
File Size : 48,5 Mb
Release : 2008-11-20
Category : Science
ISBN : 9783527617555

Get Book

Applied Nonlinear Dynamics by Ali H. Nayfeh,Balakumar Balachandran Pdf

A unified and coherent treatment of analytical, computational and experimental techniques of nonlinear dynamics with numerous illustrative applications. Features a discourse on geometric concepts such as Poincaré maps. Discusses chaos, stability and bifurcation analysis for systems of differential and algebraic equations. Includes scores of examples to facilitate understanding.

Recent Trends in Applied Nonlinear Mechanics and Physics

Mohamed Belhaq
Recent Trends in Applied Nonlinear Mechanics and Physics Book PDF

Author : Mohamed Belhaq
Publisher : Springer
Page : 278 pages
File Size : 44,8 Mb
Release : 2017-11-13
Category : Science
ISBN : 9783319639376

Get Book

Recent Trends in Applied Nonlinear Mechanics and Physics by Mohamed Belhaq Pdf

This book presents contributions on the most active lines of recent advanced research in the field of nonlinear mechanics and physics selected from the 4th International Conference on Structural Nonlinear Dynamics and Diagnosis. It includes fifteen chapters by outstanding scientists, covering various aspects of applications, including road tanker dynamics and stability, simulation of abrasive wear, energy harvesting, modeling and analysis of flexoelectric nanoactuator, periodic Fermi–Pasta–Ulam problems, nonlinear stability in Hamiltonian systems, nonlinear dynamics of rotating composites, nonlinear vibrations of a shallow arch, extreme pulse dynamics in mode-locked lasers, localized structures in a photonic crystal fiber resonator, nonlinear stochastic dynamics, linearization of nonlinear resonances, treatment of a linear delay differential equation, and fractional nonlinear damping. It appeals to a wide range of experts in the field of structural nonlinear dynamics and offers researchers and engineers an introduction to the challenges posed by nonlinearities in the development of these topics

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 : 40,5 Mb
Release : 2000-04-28
Category : Science
ISBN : 9789814497909

Get Book

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

Understanding Nonlinear Dynamics

Daniel Kaplan,Leon Glass
Understanding Nonlinear Dynamics Book PDF

Author : Daniel Kaplan,Leon Glass
Publisher : Springer Science & Business Media
Page : 438 pages
File Size : 53,9 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461208235

Get Book

Understanding Nonlinear Dynamics by Daniel Kaplan,Leon Glass Pdf

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

Muthusamy Lakshmanan,Shanmuganathan Rajaseekar
Nonlinear Dynamics Book PDF

Author : Muthusamy Lakshmanan,Shanmuganathan Rajaseekar
Publisher : Springer Science & Business Media
Page : 644 pages
File Size : 48,7 Mb
Release : 2002-11-12
Category : Mathematics
ISBN : 3540439080

Get Book

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.

Recent Advances in Nonlinear Analysis

Michel Chipot
Recent Advances in Nonlinear Analysis Book PDF

Author : Michel Chipot
Publisher : World Scientific
Page : 268 pages
File Size : 40,8 Mb
Release : 2008
Category : Mathematics
ISBN : 9789812709257

Get Book

Recent Advances in Nonlinear Analysis by Michel Chipot Pdf

This volume considers the most recent advances in various topics in partial differential equations. Many important issues such as evolution problems, their asymptotic behavior and their qualitative properties are addressed. The quality and completeness of the articles make this book both a source of inspiration and reference for future research.

Recent Advances in Numerical Methods for Hyperbolic PDE Systems

María Luz Muñoz-Ruiz,Carlos Parés,Giovanni Russo
Recent Advances in Numerical Methods for Hyperbolic PDE Systems Book PDF

Author : María Luz Muñoz-Ruiz,Carlos Parés,Giovanni Russo
Publisher : Springer Nature
Page : 269 pages
File Size : 48,6 Mb
Release : 2021-05-25
Category : Mathematics
ISBN : 9783030728502

Get Book

Recent Advances in Numerical Methods for Hyperbolic PDE Systems by María Luz Muñoz-Ruiz,Carlos Parés,Giovanni Russo Pdf

The present volume contains selected papers issued from the sixth edition of the International Conference "Numerical methods for hyperbolic problems" that took place in 2019 in Málaga (Spain). NumHyp conferences, which began in 2009, focus on recent developments and new directions in the field of numerical methods for hyperbolic partial differential equations (PDEs) and their applications. The 11 chapters of the book cover several state-of-the-art numerical techniques and applications, including the design of numerical methods with good properties (well-balanced, asymptotic-preserving, high-order accurate, domain invariant preserving, uncertainty quantification, etc.), applications to models issued from different fields (Euler equations of gas dynamics, Navier-Stokes equations, multilayer shallow-water systems, ideal magnetohydrodynamics or fluid models to simulate multiphase flow, sediment transport, turbulent deflagrations, etc.), and the development of new nonlinear dispersive shallow-water models. The volume is addressed to PhD students and researchers in Applied Mathematics, Fluid Mechanics, or Engineering whose investigation focuses on or uses numerical methods for hyperbolic systems. It may also be a useful tool for practitioners who look for state-of-the-art methods for flow simulation.

Nonlinear Dynamics and Complexity

Valentin Afraimovich,Albert C. J. Luo,Xilin Fu
Nonlinear Dynamics and Complexity Book PDF

Author : Valentin Afraimovich,Albert C. J. Luo,Xilin Fu
Publisher : Springer Science & Business Media
Page : 292 pages
File Size : 43,9 Mb
Release : 2013-11-22
Category : Technology & Engineering
ISBN : 9783319023533

Get Book

Nonlinear Dynamics and Complexity by Valentin Afraimovich,Albert C. J. Luo,Xilin Fu Pdf

This important collection presents recent advances in nonlinear dynamics including analytical solutions, chaos in Hamiltonian systems, time-delay, uncertainty, and bio-network dynamics. Nonlinear Dynamics and Complexity equips readers to appreciate this increasingly main-stream approach to understanding complex phenomena in nonlinear systems as they are examined in a broad array of disciplines. 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.

Advances in Applied Nonlinear Dynamics, Vibration and Control -2021

Xingjian Jing,Hu Ding,Jiqiang Wang
Advances in Applied Nonlinear Dynamics Vibration and Control 2021 Book PDF

Author : Xingjian Jing,Hu Ding,Jiqiang Wang
Publisher : Springer Nature
Page : 1210 pages
File Size : 49,9 Mb
Release : 2021-09-23
Category : Technology & Engineering
ISBN : 9789811659126

Get Book

Advances in Applied Nonlinear Dynamics, Vibration and Control -2021 by Xingjian Jing,Hu Ding,Jiqiang Wang Pdf

This book is to provide readers with up-to-date advances in applied and interdisciplinary engineering science and technologies related to nonlinear dynamics, vibration, control, robotics, and their engineering applications, developed in the most recent years. All the contributed chapters come from active scholars in the area, which cover advanced theory & methods, innovative technologies, benchmark experimental validations and engineering practices. Readers would benefit from this state-of-the-art collection of applied nonlinear dynamics, in-depth vibration engineering theory, cutting-edge control methods and technologies, and definitely find stimulating ideas for their on-going R&D work. This book is intended for graduate students, research staff and scholars in academics, and also provides useful hand-up guidance for professional and engineers in practical engineering missions.

Dynamics and Vibrations

Seyed Habibollah Hashemi Kachapi,Davood Domairry Ganji
Dynamics and Vibrations Book PDF

Author : Seyed Habibollah Hashemi Kachapi,Davood Domairry Ganji
Publisher : Springer
Page : 338 pages
File Size : 48,9 Mb
Release : 2013-09-14
Category : Technology & Engineering
ISBN : 9400767765

Get Book

Dynamics and Vibrations by Seyed Habibollah Hashemi Kachapi,Davood Domairry Ganji Pdf

Dynamical and vibratory systems are basically an application of mathematics and applied sciences to the solution of real world problems. Before being able to solve real world problems, it is necessary to carefully study dynamical and vibratory systems and solve all available problems in case of linear and nonlinear equations using analytical and numerical methods. It is of great importance to study nonlinearity in dynamics and vibration; because almost all applied processes act nonlinearly, and on the other hand, nonlinear analysis of complex systems is one of the most important and complicated tasks, especially in engineering and applied sciences problems. There are probably a handful of books on nonlinear dynamics and vibrations analysis. Some of these books are written at a fundamental level that may not meet ambitious engineering program requirements. Others are specialized in certain fields of oscillatory systems, including modeling and simulations. In this book, we attempt to strike a balance between theory and practice, fundamentals and advanced subjects, and generality and specialization. None of the books in this area have completely studied and analyzed nonlinear equation in dynamical and vibratory systems using the latest analytical and numerical methods, so that the user can solve the problems without the need of studying too many different references. Thereby in this book, by the use of the latest analytic, numeric laboratorial methods and using more than 300 references like books, papers and the researches done by the authors and by considering almost all possible processes and situation, new theories has been proposed to encounter applied problems in engineering and applied sciences. In this way, the user (bachelor’s, master’s and PhD students, university teachers and even in research centers in different fields of mechanical, civil, aerospace, electrical, chemical, applied mathematics, physics, and etc.) can encounter such systems confidently. In the different chapters of the book, not only are the linear and especially nonlinear problems with oscillatory form broadly discussed, but also applied examples are practically solved by the proposed methodology.

Advances in Nonlinear Dynamics

S. Sivasundaram,A.A. Martynyuk
Advances in Nonlinear Dynamics Book PDF

Author : S. Sivasundaram,A.A. Martynyuk
Publisher : Taylor & Francis
Page : 404 pages
File Size : 40,7 Mb
Release : 2023-01-06
Category : Technology & Engineering
ISBN : 9781351468299

Get Book

Advances in Nonlinear Dynamics by S. Sivasundaram,A.A. Martynyuk Pdf

Dedicated to Professor S. Leela in recognition of her significant contribution to the field of nonlinear dynamics and differential equations, this text consists of 38 papers contributed by experts from 15 countries, together with a survey of Professor Leela's work. The first group of papers examines stability, the second process controls, and the third section contains papers on various topics, including solutions for new classes of systems of equations and boundary problems, and proofs of basic theorems. Many of the featured problems are associated with the ideas and methods proposed and developed by Professor Leela.

Recent Advances in Differential Equations and Applications

Juan Luis García Guirao,José Alberto Murillo Hernández,Francisco Periago Esparza
Recent Advances in Differential Equations and Applications Book PDF

Author : Juan Luis García Guirao,José Alberto Murillo Hernández,Francisco Periago Esparza
Publisher : Springer
Page : 244 pages
File Size : 48,5 Mb
Release : 2019-01-04
Category : Mathematics
ISBN : 9783030003418

Get Book

Recent Advances in Differential Equations and Applications by Juan Luis García Guirao,José Alberto Murillo Hernández,Francisco Periago Esparza Pdf

This work gathers a selection of outstanding papers presented at the 25th Conference on Differential Equations and Applications / 15th Conference on Applied Mathematics, held in Cartagena, Spain, in June 2017. It supports further research into both ordinary and partial differential equations, numerical analysis, dynamical systems, control and optimization, trending topics in numerical linear algebra, and the applications of mathematics to industry. The book includes 14 peer-reviewed contributions and mainly addresses researchers interested in the applications of mathematics, especially in science and engineering. It will also greatly benefit PhD students in applied mathematics, engineering and physics.

Applied Nonlinear Analysis

V. Lakshmikantham
Applied Nonlinear Analysis Book PDF

Author : V. Lakshmikantham
Publisher : Elsevier
Page : 746 pages
File Size : 46,6 Mb
Release : 2014-05-12
Category : Mathematics
ISBN : 9781483272061

Get Book

Applied Nonlinear Analysis by V. Lakshmikantham Pdf

Applied Nonlinear Analysis contains the proceedings of an International Conference on Applied Nonlinear Analysis, held at the University of Texas at Arlington, on April 20-22, 1978. The papers explore advances in applied nonlinear analysis, with emphasis on reaction-diffusion equations; optimization theory; constructive techniques in numerical analysis; and applications to physical and life sciences. In the area of reaction-diffusion equations, the discussions focus on nonlinear oscillations; rotating spiral waves; stability and asymptotic behavior; discrete-time models in population genetics; and predator-prey systems. In optimization theory, the following topics are considered: inverse and ill-posed problems with application to geophysics; conjugate gradients; and quasi-Newton methods with applications to large-scale optimization; sequential conjugate gradient-restoration algorithm for optimal control problems with non-differentiable constraints; differential geometric methods in nonlinear programming; and equilibria in policy formation games with random voting. In the area of constructive techniques in numerical analysis, numerical and approximate solutions of boundary value problems for ordinary and partial differential equations are examined, along with finite element analysis and constructive techniques for accretive and monotone operators. In addition, the book explores turbulent fluid flows; stability problems for Hopf bifurcation; product integral representation of Volterra equations with delay; weak solutions of variational problems, nonlinear integration on measures; and fixed point theory. This monograph will be helpful to students, practitioners, and researchers in the field of mathematics.

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 : 52,9 Mb
Release : 2013-03-14
Category : Technology & Engineering
ISBN : 9783662089927

Get Book

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.