Localization and Energy Transfer in Nonlinear Systems PDF Download

Author: Luis Vázquez
Publisher: World Scientific
ISBN: 9814486515
Category : Mathematics
Languages : en
Pages : 364

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Book Description
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
Publisher: World Scientific
ISBN: 9789812704627
Category : Mathematics
Languages : en
Pages : 372

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Book Description
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: Luis Vázquez
Publisher: World Scientific Publishing Company Incorporated
ISBN: 9789812382962
Category : Mathematics
Languages : en
Pages : 364

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Book Description
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
Publisher: Springer Science & Business Media
ISBN: 1402091303
Category : Technology & Engineering
Languages : en
Pages : 1030

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Book Description
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: Thierry Dauxois
Publisher: World Scientific
ISBN: 9814483346
Category : Science
Languages : en
Pages : 428

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Book Description
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
Publisher: Springer Nature
ISBN: 3030347133
Category : Science
Languages : en
Pages : 592

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Book Description
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: Alexander F. Vakakis
Publisher: Springer Science & Business Media
ISBN: 9401724520
Category : Science
Languages : en
Pages : 290

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Book Description
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:
Publisher:
ISBN:
Category : Energy transfer
Languages : en
Pages :

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Book Description

Author: Thierry Dauxois
Publisher: World Scientific
ISBN: 9812794867
Category : Science
Languages : en
Pages : 428

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Book Description
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: Juan F. R. Archilla
Publisher: Springer
ISBN: 3319210459
Category : Technology & Engineering
Languages : en
Pages : 567

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Book Description
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.