Non Linear Lattice PDF Download
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Author | : Morikazu Toda |
Publisher | : Springer Science & Business Media |
Total Pages | : 233 |
Release | : 2012-12-06 |
Genre | : Science |
ISBN | : 3642832199 |
Download Theory of Nonlinear Lattices Book in PDF, ePub and Kindle
Soliton theory, the theory of nonlinear waves in lattices composed of particles interacting by nonlinear forces, is treated rigorously in this book. The presentation is coherent and self-contained, starting with pioneering work and extending to the most recent advances in the field. Special attention is focused on exact methods of solution of nonlinear problems and on the exact mathematical treatment of nonlinear lattice vibrations. This new edition updates the material to take account of important new advances.
Author | : Ignazio Licata and Sauro Succi |
Publisher | : MDPI |
Total Pages | : 291 |
Release | : 2018-07-17 |
Genre | : Electronic books |
ISBN | : 3038423068 |
Download Non-Linear Lattice Book in PDF, ePub and Kindle
This book is a printed edition of the Special Issue "Non-Linear Lattice" that was published in Entropy
Author | : Ignazio Licata |
Publisher | : |
Total Pages | : |
Release | : 2016 |
Genre | : Physics |
ISBN | : 9783038423072 |
Download Non-linear Lattice Book in PDF, ePub and Kindle
The development of mathematical techniques, combined with new possibilities of computational simulation, have greatly broadened the study of non-linear lattices, a theme among the most refined and interdisciplinary-oriented in the field of mathematical physics. This Special Issue mainly focuses on state-of-the-art advancements concerning the many facets of non-linear lattices, from the theoretical ones to more applied ones. The non-linear and discrete systems play a key role in all ranges of physical experience, from macrophenomena to condensed matter, up to some models of space discrete space-time
Author | : Morikazu Toda |
Publisher | : |
Total Pages | : 124 |
Release | : 1975 |
Genre | : |
ISBN | : |
Download Studies of a Non-linear Lattice Book in PDF, ePub and Kindle
Author | : George W. Valenta |
Publisher | : |
Total Pages | : 72 |
Release | : 1951 |
Genre | : Electric circuits |
ISBN | : |
Download Some Characteristics of a Non-linear Lattice Network Book in PDF, ePub and Kindle
Author | : John D. Clayton |
Publisher | : Springer Science & Business Media |
Total Pages | : 709 |
Release | : 2010-11-01 |
Genre | : Science |
ISBN | : 9400703503 |
Download Nonlinear Mechanics of Crystals Book in PDF, ePub and Kindle
This book describes behavior of crystalline solids primarily via methods of modern continuum mechanics. Emphasis is given to geometrically nonlinear descriptions, i.e., finite deformations. Primary topics include anisotropic crystal elasticity, plasticity, and methods for representing effects of defects in the solid on the material's mechanical response. Defects include crystal dislocations, point defects, twins, voids or pores, and micro-cracks. Thermoelastic, dielectric, and piezoelectric behaviors are addressed. Traditional and higher-order gradient theories of mechanical behavior of crystalline solids are discussed. Differential-geometric representations of kinematics of finite deformations and lattice defect distributions are presented. Multi-scale modeling concepts are described in the context of elastic and plastic material behavior. Representative substances towards which modeling techniques may be applied are single- and poly- crystalline metals and alloys, ceramics, and minerals. This book is intended for use by scientists and engineers involved in advanced constitutive modeling of nonlinear mechanical behavior of solid crystalline materials. Knowledge of fundamentals of continuum mechanics and tensor calculus is a prerequisite for accessing much of the text. This book could be used as supplemental material for graduate courses on continuum mechanics, elasticity, plasticity, micromechanics, or dislocation mechanics, for students in various disciplines of engineering, materials science, applied mathematics, and condensed matter physics.
Author | : Morikazu Toda |
Publisher | : Springer |
Total Pages | : 0 |
Release | : 1981 |
Genre | : Science |
ISBN | : 9783642965852 |
Download Theory of Nonlinear Lattices Book in PDF, ePub and Kindle
This book deals with waves in lattices composed of particles interacting by nonlinear forces. Since motion in a lattice with exponential interac tion between nearest neighbors can be analyzed rigorously, it is treated as the central subject to be discussed. From the idea that the fundamentals of the mathematical methods for nonlinear lattices would be elucidated by rigorous results, I was led in 1966 to the lattice with exponential interaction, which has since proved to be a subject of intensive investigation by many researchers. Therefore I have tried to describe the development of the study of this lattice. The presentation is intended to be coherent and self-contained. Chapter 1 starts with a rather historical exposition, and deals with the motion in the lattices and in continuous systems in general. Funda mental concepts necessary for later chapters, including the partic1elike behavior of stable pulses (solitons), the most characteristic entities of the nonlinear waves, are introduced. The dual transformation, which exchanges the roles of particles and interaction, is described for devel opment in the next chapter.
Author | : A. Srikantha Phani |
Publisher | : John Wiley & Sons |
Total Pages | : 312 |
Release | : 2017-09-25 |
Genre | : Technology & Engineering |
ISBN | : 1118729595 |
Download Dynamics of Lattice Materials Book in PDF, ePub and Kindle
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
Author | : Alexander Semyon Sherstinsky |
Publisher | : |
Total Pages | : 4 |
Release | : 1994 |
Genre | : |
ISBN | : |
Download M-lattice--a Novel Non-linear Dynamical System and Its Application to Halftoning Book in PDF, ePub and Kindle
Author | : Gerald Teschl |
Publisher | : American Mathematical Soc. |
Total Pages | : 373 |
Release | : 2000 |
Genre | : Mathematics |
ISBN | : 0821819402 |
Download Jacobi Operators and Completely Integrable Nonlinear Lattices Book in PDF, ePub and Kindle
This volume serves as an introduction and reference source on spectral and inverse theory of Jacobi operators and applications of these theories to the Toda and Kac-van Moerbeke hierarchy.