Analytical Methods For Nonlinear Oscillators And Solitary Waves

DOWNLOAD

Download Analytical Methods For Nonlinear Oscillators And Solitary Waves PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Analytical Methods For Nonlinear Oscillators And Solitary Waves book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page

Analytical Methods For Nonlinear Oscillators And Solitary Waves

DOWNLOAD
Author : Chu-Hui He
language : en
Publisher: Frontiers Media SA
Release Date : 2023-11-24

Analytical Methods For Nonlinear Oscillators And Solitary Waves written by Chu-Hui He and has been published by Frontiers Media SA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-11-24 with Science categories.

The most well-known analytical method is the perturbation method, which has led to the great discovery of Neptune in 1846, and since then mathematical prediction and empirical observation became two sides of a coin in physics. However, the perturbation method is based on the small parameter assumption, and the obtained solutions are valid only for weakly nonlinear equations, which have greatly limited their applications to modern physical problems. To overcome the shortcomings, many mathematicians and physicists have been extensively developing various technologies for several centuries, however, there is no universal method for all nonlinear problems, and mathematical prediction with remarkably high accuracy is still much needed for modern physics, for example, the solitary waves traveling along an unsmooth boundary, the low-frequency property of a harvesting energy device, the pull-in voltage in a micro-electromechanical system. Now various effective analytical methods have appeared in the open literature, e.g., the homotopy perturbation method and the variational iteration method. An analytical solution provides a fast insight into its physical properties of a practical problem, e.g., frequency-amplitude relation of a nonlinear oscillator, solitary wave in an optical fiber, pull-in instability of a microelectromechanical system, making mathematical prediction even more attractive in modern physics. Nonlinear physics has been developing into a new stage, where the fractal-fractional differential equations have to be adopted to describe more accurately discontinuous problems, and it becomes ever more difficult to find an analytical solution for such nonlinear problems, and the analytical methods for fractal-fractional differential equations have laid the foundations for nonlinear physics.

Partially Integrable Evolution Equations In Physics

DOWNLOAD
Author : R. Conte
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Partially Integrable Evolution Equations In Physics written by R. Conte and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Technology & Engineering categories.

In the many physical phenomena ruled by partial differential equations, two extreme fields are currently overcrowded due to recent considerable developments: 1) the field of completely integrable equations, whose recent advances are the inverse spectral transform, the recursion operator, underlying Hamiltonian structures, Lax pairs, etc 2) the field of dynamical systems, often built as models of observed physical phenomena: turbulence, intermittency, Poincare sections, transition to chaos, etc. In between there is a very large region where systems are neither integrable nor nonintegrable, but partially integrable, and people working in the latter domain often know methods from either 1) or 2). Due to the growing interest in partially integrable systems, we decided to organize a meeting for physicists active or about to undertake research in this field, and we thought that an appropriate form would be a school. Indeed, some of the above mentioned methods are often adaptable outside their original domain and therefore worth to be taught in an interdisciplinary school. One of the main concerns was to keep a correct balance between physics and mathematics, and this is reflected in the list of courses.

Dynamics Of Lattice Materials

DOWNLOAD
Author : A. Srikantha Phani
language : en
Publisher: John Wiley & Sons
Release Date : 2017-09-25

Dynamics Of Lattice Materials written by A. Srikantha Phani and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-09-25 with Technology & Engineering categories.

Provides a comprehensive introduction to the dynamic response of lattice materials, covering the fundamental theory and applications in engineering practice Offers comprehensive treatment of dynamics of lattice materials and periodic materials in general, including phononic crystals and elastic metamaterials Provides an in depth introduction to elastostatics and elastodynamics of lattice materials Covers advanced topics such as damping, nonlinearity, instability, impact and nanoscale systems Introduces contemporary concepts including pentamodes, local resonance and inertial amplification Includes chapters on fast computation and design optimization tools Topics are introduced using simple systems and generalized to more complex structures with a focus on dispersion characteristics

Dynamics And Vibrations

DOWNLOAD
Author : Seyed Habibollah Hashemi Kachapi
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-07-18

Dynamics And Vibrations written by Seyed Habibollah Hashemi Kachapi and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-07-18 with Technology & Engineering categories.

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.

Spatio Temporal Chaos And Solitary Waves In Nonlinear Periodic Structures

DOWNLOAD
Author : Matthew A. Davies
language : en
Publisher:
Release Date : 1993

Spatio Temporal Chaos And Solitary Waves In Nonlinear Periodic Structures written by Matthew A. Davies and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with categories.

The Shock And Vibration Digest

DOWNLOAD
Author :
language : en
Publisher:
Release Date : 1991

The Shock And Vibration Digest written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Shock (Mechanics) categories.

Applied Mechanics Reviews

DOWNLOAD
Author :
language : en
Publisher:
Release Date : 1948

Applied Mechanics Reviews written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1948 with Mechanics, Applied categories.

Scientific And Technical Aerospace Reports

DOWNLOAD
Author :
language : en
Publisher:
Release Date : 1993

Scientific And Technical Aerospace Reports written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Aeronautics categories.

Nonlinear Science

DOWNLOAD
Author : Alwyn Scott
language : en
Publisher: Oxford University Press, USA
Release Date : 1999

Nonlinear Science written by Alwyn Scott and has been published by Oxford University Press, USA this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Mathematics categories.

Problems and summaries after each chapter

Topological Methods In Nonlinear Analysis

DOWNLOAD
Author :
language : en
Publisher:
Release Date : 2008

Topological Methods In Nonlinear Analysis written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Nonlinear functional analysis categories.