Travelling Waves and Periodic Oscillations in Fermi-Pasta-Ulam Lattices
Travelling Waves and Periodic Oscillations in Fermi-Pasta-Ulam Lattices

Author: Aleksandr Andreevich Pankov

Publisher: Imperial College Press

Published: 2005

Total Pages: 214

ISBN-13: 1860945325

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This is a unique book that presents rigorous mathematical results on Fermi-Pasta-Ulam lattices, a field of great interest in nonlinear analysis, nonlinear science, mathematical physics, etc. It considers travelling waves and time periodic oscillations in infinite Fermi-Pasta-Ulam lattices, which are not necessarily spatially homogenous. Similar systems, infinite chains of linearly coupled nonlinear oscillators, are also discussed. The book is self-contained and includes a number of open problems, making it suitable for use in a course for graduate students.

Travelling Waves and Periodic Oscillations in Fermi-Pasta-Ulam Lattices
Travelling Waves and Periodic Oscillations in Fermi-Pasta-Ulam Lattices

Author: Alexander Pankov

Publisher: Imperial College Press

Published: 2005

Total Pages: 212

ISBN-13: 1860947212

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This is a unique book that presents rigorous mathematical results on FermiPastaUlam lattices, a field of great interest in nonlinear analysis, nonlinear science, mathematical physics, etc. It considers travelling waves and time periodic oscillations in infinite FermiPastaUlam lattices, which are not necessarily spatially homogenous. Similar systems, infinite chains of linearly coupled nonlinear oscillators, are also discussed. The book is self-contained and includes a number of open problems, making it suitable for use in a course for graduate students.

The Fermi-Pasta-Ulam Problem
The Fermi-Pasta-Ulam Problem

Author: Giovanni Gallavotti

Publisher: Springer Science & Business Media

Published: 2007-11-22

Total Pages: 304

ISBN-13: 3540729941

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This volume reviews the current understanding of the Fermi-Pasta-Ulam (FPU) Problem without trying to force coherence on differing perspectives on the same problem by various groups or approaches. The contributions lead the interested but inexperienced reader through gradual understanding, starting from general analysis and proceeding towards more specialized topics. The volume also includes a reprint of the original Fermi-Pasta-Ulam paper.

Acoustic Metamaterials and Phononic Crystals
Acoustic Metamaterials and Phononic Crystals

Author: Pierre A. Deymier

Publisher: Springer Science & Business Media

Published: 2013-01-13

Total Pages: 388

ISBN-13: 3642312322

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This comprehensive book presents all aspects of acoustic metamaterials and phononic crystals. The emphasis is on acoustic wave propagation phenomena at interfaces such as refraction, especially unusual refractive properties and negative refraction. A thorough discussion of the mechanisms leading to such refractive phenomena includes local resonances in metamaterials and scattering in phononic crystals.

Patterns of Dynamics
Patterns of Dynamics

Author: Pavel Gurevich

Publisher: Springer

Published: 2018-02-07

Total Pages: 411

ISBN-13: 3319641735

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Theoretical advances in dynamical-systems theory and their applications to pattern-forming processes in the sciences and engineering are discussed in this volume that resulted from the conference Patterns in Dynamics held in honor of Bernold Fiedler, in Berlin, July 25-29, 2016.The contributions build and develop mathematical techniques, and use mathematical approaches for prediction and control of complex systems. The underlying mathematical theories help extract structures from experimental observations and, conversely, shed light on the formation, dynamics, and control of spatio-temporal patterns in applications. Theoretical areas covered include geometric analysis, spatial dynamics, spectral theory, traveling-wave theory, and topological data analysis; also discussed are their applications to chemotaxis, self-organization at interfaces, neuroscience, and transport processes.

Localization in Periodic Potentials
Localization in Periodic Potentials

Author: Dmitry E. Pelinovsky

Publisher: Cambridge University Press

Published: 2011-10-06

Total Pages: 409

ISBN-13: 1139503693

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This comprehensive book describes modern methods in the analysis of reduced models of Bose–Einstein condensation in periodic lattices. Aimed at researchers and graduate students working in applied mathematics and physical sciences where nonlinear waves arise, its unique focus is on localized nonlinear waves in periodic potentials and lattices.

Lecture Notes on Schrödinger Equations
Lecture Notes on Schrödinger Equations

Author: Aleksandr Andreevich Pankov

Publisher:

Published: 2007

Total Pages: 208

ISBN-13:

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CONTENTS: Preface; A Bit of Quantum Mechanics; Operators in Hilbert Spaces; Spectral Theorem for Self-adjoint Operators; Compact Operators and the Hilbert-Schmidt Theorem; Elements of Perturbation Theory; Variational Principles; One-Dimensional Schrödinger Operator; Multidimensional Schrödinger Operator; Periodic Schrödinger Operator; Quantum Graphs; Non-linear Schrödinger Equation; References; Index.