Localization And Energy Transfer In Nonlinear Systems

Author : Luis Vázquez,Robert S MacKay,María Paz Zorzano
Publisher : World Scientific
Page : 364 pages
File Size : 52,9 Mb
Release : 2003-05-22
Category : Mathematics
ISBN : 9789814486514

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Localization and Energy Transfer in Nonlinear Systems by Luis Vázquez,Robert S MacKay,María Paz Zorzano Pdf

This conference was the third meeting organized in the framework of the European LOCNET project. The main topics discussed by this international research collaboration were localization by nonlinearity and spatial discreteness, and energy transfer (in crystals, biomolecules and Josephson arrays). Contents:The Discrete Nonlinear Schrödinger Equation — 20 Years on (J C Eilbeck & M Johansson)Breathers and Conformational Transitions in Molecular Crystals (M Barthes)Some Exact Results for Quantum Lattice Problems (J C Eilbeck)Isochronous Potentials (S Bolotin & R S Mackay)Dynamics of Discrete Breathers in Flexible Chains (J M Sancho et al.)Interaction of Moving Breathers with an Impurity (J Cuevas et al.)Quantum Targeted Energy Transfer (P Maniadis et al.)Spontaneous Pattern Retrieval in a Neural Network (M-P Zorzano)Discrete Breathers in 2D Josephson Arrays (J J Mazo)Fluxon Ratchet Potentials (J J Mazo et al.)and other papers Readership: Researchers, academics and graduate students in the fields of new materials, analysis & differential equations, numerical & computational mathematics, stochastic theory, theoretical physics, statistical physics, semiconductors and mathematical biology. Keywords:Nonlinearity;Spatial Discreteness;Energy Transfer;Crystals;Biomolecules;Josephson Array;Localization

Author : Robert Sinclair MacKay,Luis V zquez,Mar¡a Paz Zorzano
Publisher : World Scientific
Page : 372 pages
File Size : 50,8 Mb
Release : 2003
Category : Mathematics
ISBN : 9812704620

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Localization & Energy Transfer in Nonlinear Systems by Robert Sinclair MacKay,Luis V zquez,Mar¡a Paz Zorzano Pdf

This conference was the third meeting organized in the framework of the European LOCNET project. The main topics discussed by this international research collaboration were localization by nonlinearity and spatial discreteness, and energy transfer (in crystals, biomolecules and Josephson arrays).

Author : Alexander F. Vakakis,Oleg V. Gendelman,Lawrence A. Bergman,D. Michael McFarland,Gaëtan Kerschen,Young Sup Lee
Publisher : Springer Science & Business Media
Page : 1030 pages
File Size : 49,7 Mb
Release : 2008-12-24
Category : Technology & Engineering
ISBN : 9781402091308

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Nonlinear Targeted Energy Transfer in Mechanical and Structural Systems by Alexander F. Vakakis,Oleg V. Gendelman,Lawrence A. Bergman,D. Michael McFarland,Gaëtan Kerschen,Young Sup Lee Pdf

This monograph evolved over a period of nine years from a series of papers and presentations addressing the subject of passive vibration control of mechanical s- tems subjected to broadband, transient inputs. The unifying theme is Targeted - ergy Transfer – TET, which represents a new and unique approach to the passive control problem, in which a strongly nonlinear, fully passive, local attachment, the Nonlinear Energy Sink – NES, is employed to drastically alter the dynamics of the primary system to which it is attached. The intrinsic capacity of the properly - signed NES to promote rapid localization of externally applied (narrowband) - bration or (broadband) shock energy to itself, where it can be captured and dis- pated, provides a powerful strategy for vibration control and the opens the pos- bility for a wide range of applications of TET, such as, vibration and shock i- lation, passive energy harvesting, aeroelastic instability (?utter) suppression, se- mic mitigation, vortex shedding control, enhanced reliability designs (for ex- ple in power grids) and others. The monograph is intended to provide a thorough explanation of the analytical, computational and experimental methods needed to formulate and study TET in mechanical and structural systems. Several prac- cal engineering applications are examined in detail, and experimental veri?cation and validation of the theoretical predictions are provided as well. The authors also suggest a number of possible future applications where application of TET seems promising. The authors are indebted to a number of sponsoring agencies.

Author : Luis Vázquez,Robert Mackay,Maria Paz Zorzano
Publisher : World Scientific Publishing Company Incorporated
Page : 364 pages
File Size : 47,5 Mb
Release : 2003
Category : Mathematics
ISBN : 9812382968

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Localization and Energy Transfer in Nonlinear Systems by Luis Vázquez,Robert Mackay,Maria Paz Zorzano Pdf

This conference was the third meeting organized in the framework of the European LOCNET project. The main topics discussed by this international research collaboration were localization by nonlinearity and spatial discreteness, and energy transfer (in crystals, biomolecules and Josephson arrays).

Author : Thierry Dauxois,Anna Litvak-Hinenzon,Robert MacKay,Anna Spanoudaki
Publisher : World Scientific
Page : 428 pages
File Size : 48,6 Mb
Release : 2004-02-09
Category : Science
ISBN : 9789814483346

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Energy Localisation and Transfer by Thierry Dauxois,Anna Litvak-Hinenzon,Robert MacKay,Anna Spanoudaki Pdf

This book provides an introduction to localised excitations in spatially discrete systems, from the experimental, numerical and mathematical points of view. Also known as discrete breathers, nonlinear lattice excitations and intrinsic localised modes, these are spatially localised time periodic motions in networks of dynamical units. Examples of such networks are molecular crystals, biomolecules, and arrays of Josephson superconducting junctions. The book also addresses the formation of discrete breathers and their potential role in energy transfer in such systems. Contents:Computational Studies of Discrete BreathersVibrational Spectroscopy and Quantum LocalizationSlow ManifoldsLocalized Excitations in Josephson ArraysProtein Functional Dynamics: Computational ApproachesNonlinear Vibrational Spectroscopy: A Method to Study Vibrational Self-TrappingBreathers in Biomolecules?Statistical Physics of Localized VibrationsLocalization and Targeted Transfer of Atomic-Scale Nonlinear Excitations: Perspectives for Applications Readership: Advanced graduate students and postdoctoral researchers in nonlinear dynamics. Keywords:Energy Localisation;Transfer;Breathers;Quantum Localisation;Spectroscopy;Josephson Junctions;Protein Dynamics;Statistical Physics;Nonlinear Physics;Hamiltonian Dynamics

Author : Walter Lacarbonara,Balakumar Balachandran,Jun Ma,J. A. Tenreiro Machado,Gabor Stepan
Publisher : Springer Nature
Page : 592 pages
File Size : 55,6 Mb
Release : 2020-01-29
Category : Science
ISBN : 9783030347130

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Nonlinear Dynamics of Structures, Systems and Devices by Walter Lacarbonara,Balakumar Balachandran,Jun Ma,J. A. Tenreiro Machado,Gabor Stepan Pdf

This first of three volumes from the inaugural NODYCON, held at the University of Rome, in February of 2019, presents papers devoted to Nonlinear Dynamics of Structures, Systems and Devices. The collection features both well-established streams of research as well as novel areas and emerging fields of investigation. Topics in Volume I include multi-scale dynamics: coexistence of multiple time/space scales, large system dynamics; dynamics of structures/industrial machines/equipment/facilities (e.g., cable transportation systems, suspension bridges, cranes, vehicles); nonlinear interactions: parametric vibrations with single/multi-frequency excitations, multiple external and autoparametric resonances in multi-dof systems; nonlinear system identification: parametric/nonparametric identification, data-driven identification; experimental dynamics: benchmark experiments, experimental methods, instrumentation techniques, measurements in harsh environments, experimental validation of nonlinear models; wave propagation, solitons, kinks, breathers; solution methods for pdes: Lie groups, Hirota’s method, perturbation methods, etc; nonlinear waves in media (granular materials, porous materials, materials with memory); composite structures: multi-layer, functionally graded, thermal loading; fluid/structure interaction; nonsmooth and retarded dynamics: systems with impacts, free play, stick-slip, friction hysteresis; nonlinear systems with time and/or space delays; stability of delay differential equations, differential-algebraic equations; space/time reduced-order modeling: enhanced discretization methods, center manifold reduction, nonlinear normal modes, normal forms; fractional-order systems; computational techniques: efficient algorithms, use of symbolic manipulators, integration of symbolic manipulation and numerical methods, use of parallel processors; and multibody dynamics: rigid and flexible multibody system dynamics, impact and contact mechanics, tire modeling, railroad vehicle dynamics, computational multibody dynamics.

Author : Thierry Dauxois
Publisher : World Scientific
Page : 428 pages
File Size : 48,6 Mb
Release : 2004
Category : Science
ISBN : 9789812794864

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Energy Localisation and Transfer by Thierry Dauxois Pdf

This book provides an introduction to localised excitations in spatially discrete systems, from the experimental, numerical and mathematical points of view. Also known as discrete breathers, nonlinear lattice excitations and intrinsic localised modes, these are spatially localised time periodic motions in networks of dynamical units. Examples of such networks are molecular crystals, biomolecules, and arrays of Josephson superconducting junctions. The book also addresses the formation of discrete breathers and their potential role in energy transfer in such systems. Contents: Computational Studies of Discrete Breathers; Vibrational Spectroscopy and Quantum Localization; Slow Manifolds; Localized Excitations in Josephson Arrays; Protein Functional Dynamics: Computational Approaches; Nonlinear Vibrational Spectroscopy: A Method to Study Vibrational Self-Trapping; Breathers in Biomolecules?; Statistical Physics of Localized Vibrations; Localization and Targeted Transfer of Atomic-Scale Nonlinear Excitations: Perspectives for Applications. Readership: Advanced graduate students and postdoctoral researchers in nonlinear dynamics.

Author : Anonim
Publisher : Unknown
Page : 128 pages
File Size : 51,8 Mb
Release : 2008
Category : Energy transfer
ISBN : LCCN:2008940435

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Nonlinear Targeted Energy Transfer in Mechanical and Structural Systems by Anonim Pdf

Author : Alexander F. Vakakis
Publisher : Springer Science & Business Media
Page : 290 pages
File Size : 55,5 Mb
Release : 2013-06-29
Category : Science
ISBN : 9789401724524

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Normal Modes and Localization in Nonlinear Systems by Alexander F. Vakakis Pdf

The nonlinear normal modes of a parametrically excited cantilever beam are constructed by directly applying the method of multiple scales to the governing integral-partial differential equation and associated boundary conditions. The effect of the inertia and curvature nonlin earities and the parametric excitation on the spatial distribution of the deflection is examined. The results are compared with those obtained by using a single-mode discretization. In the absence of linear viscous and quadratic damping, it is shown that there are nonlinear normal modes, as defined by Rosenberg, even in the presence of a principal parametric excitation. Furthermore, the nonlinear mode shape obtained with the direct approach is compared with that obtained with the discretization approach for some values of the excitation frequency. In the single-mode discretization, the spatial distribution of the deflection is assumed a priori to be given by the linear mode shape ¢n, which is parametrically excited, as Equation (41). Thus, the mode shape is not influenced by the nonlinear curvature and nonlinear damping. On the other hand, in the direct approach, the mode shape is not assumed a priori; the nonlinear effects modify the linear mode shape ¢n. Therefore, in the case of large-amplitude oscillations, the single-mode discretization may yield inaccurate mode shapes. References 1. Vakakis, A. F., Manevitch, L. I., Mikhlin, Y. v., Pilipchuk, V. N., and Zevin A. A., Nonnal Modes and Localization in Nonlinear Systems, Wiley, New York, 1996.

Author : Ricardo Carretero-González,Jesús Cuevas-Maraver,Dimitri Frantzeskakis,Nikos Karachalios,Panayotis Kevrekidis,Faustino Palmero-Acebedo
Publisher : Springer Science & Business Media
Page : 435 pages
File Size : 54,9 Mb
Release : 2013-11-19
Category : Science
ISBN : 9783319020570

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Localized Excitations in Nonlinear Complex Systems by Ricardo Carretero-González,Jesús Cuevas-Maraver,Dimitri Frantzeskakis,Nikos Karachalios,Panayotis Kevrekidis,Faustino Palmero-Acebedo Pdf

The study of nonlinear localized excitations is a long-standing challenge for research in basic and applied science, as well as engineering, due to their importance in understanding and predicting phenomena arising in nonlinear and complex systems, but also due to their potential for the development and design of novel applications. This volume is a compilation of chapters representing the current state-of-the-art on the field of localized excitations and their role in the dynamics of complex physical systems.

Author : Alexander F. Vakakis,Leonid I. Manevitch,Yuri V. Mikhlin,Valery N. Pilipchuk,Alexandr A. Zevin
Publisher : John Wiley & Sons
Page : 552 pages
File Size : 40,8 Mb
Release : 2008-07-11
Category : Science
ISBN : 9783527617876

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Normal Modes and Localization in Nonlinear Systems by Alexander F. Vakakis,Leonid I. Manevitch,Yuri V. Mikhlin,Valery N. Pilipchuk,Alexandr A. Zevin Pdf

This landmark book deals with nonlinear normal modes (NNMs) and nonlinear mode localization. Offers an analysis which enables the study of various nonlinear phenomena having no counterpart in linear theory. On a more theoretical level, the concept of NNMs will be shown to provide an excellent framework for understanding a variety of distinctively nonlinear phenomena such as mode bifurcations and standing or traveling solitary waves.

Author : Juan F. R. Archilla,Noé Jiménez,Victor J. Sánchez-Morcillo,Luis M. García-Raffi
Publisher : Springer
Page : 567 pages
File Size : 50,5 Mb
Release : 2015-07-31
Category : Technology & Engineering
ISBN : 9783319210452

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Quodons in Mica by Juan F. R. Archilla,Noé Jiménez,Victor J. Sánchez-Morcillo,Luis M. García-Raffi Pdf

This book presents the current knowledge about nonlinear localized travelling excitations in crystals. Excitations can be vibrational, electronic, magnetic or of many other types, in many different types of crystals, as silicates, semiconductors and metals. The book is dedicated to the British scientist FM Russell, recently turned 80. He found 50 years ago that a mineral mica muscovite was able to record elementary charged particles and much later that also some kind of localized excitations, he called them quodons, was also recorded. The tracks, therefore, provide a striking experimental evidence of quodons existence. The first chapter by him presents the state of knowledge in this topic. It is followed by about 18 chapters from world leaders in the field, reviewing different aspects, materials and methods including experiments, molecular dynamics and theory and also presenting the latest results. The last part includes a personal narration of FM Russell of the deciphering of the marks in mica. It provides a unique way to present the science in an accessible way and also illustrates the process of discovery in a scientist's mind.

Author : Alwyn Scott
Publisher : Routledge
Page : 1107 pages
File Size : 40,6 Mb
Release : 2006-05-17
Category : Reference
ISBN : 9781135455583

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Encyclopedia of Nonlinear Science by Alwyn Scott Pdf

In 438 alphabetically-arranged essays, this work provides a useful overview of the core mathematical background for nonlinear science, as well as its applications to key problems in ecology and biological systems, chemical reaction-diffusion problems, geophysics, economics, electrical and mechanical oscillations in engineering systems, lasers and nonlinear optics, fluid mechanics and turbulence, and condensed matter physics, among others.

Author : Oleg V. Gendelman,Leonid I. Manevitch
Publisher : Springer Science & Business Media
Page : 310 pages
File Size : 50,7 Mb
Release : 2011-01-04
Category : Technology & Engineering
ISBN : 9783642153723

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Tractable Models of Solid Mechanics by Oleg V. Gendelman,Leonid I. Manevitch Pdf

This book describes significant tractable models used in solid mechanics - classical models used in modern mechanics as well as new ones. The models are selected to illustrate the main ideas which allow scientists to describe complicated effects in a simple manner and to clarify basic notations of solid mechanics. A model is considered to be tractable if it is based on clear physical assumptions which allow the selection of significant effects and relatively simple mathematical formulations. The first part of the book briefly reviews classical tractable models for a simple description of complex effects developed from the 18th to the 20th century and widely used in modern mechanics. The second part describes systematically the new tractable models used today for the treatment of increasingly complex mechanical objects – from systems with two degrees of freedom to three-dimensional continuous objects.

Author : Srihari Keshavamurthy,Peter Schlagheck
Publisher : CRC Press
Page : 424 pages
File Size : 46,8 Mb
Release : 2011-03-09
Category : Science
ISBN : 9781439816660

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Dynamical Tunneling by Srihari Keshavamurthy,Peter Schlagheck Pdf

A prominent aspect of quantum theory, tunneling arises in a variety of contexts across several fields of study, including nuclear, atomic, molecular, and optical physics and has led to technologically relevant applications in mesoscopic science. Exploring mechanisms and consequences, Dynamical Tunneling: Theory and Experiment presents the work of i