Download or read book Travelling Waves and Periodic Oscillations in Fermi Pasta Ulam Lattices written by Alexander Pankov and published by Imperial College Press. This book was released on 2005 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Travelling Waves and Periodic Oscillations in Fermi Pasta Ulam Lattices written by Aleksandr Andreevich Pankov and published by Imperial College Press. This book was released on 2005 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Metrical Almost Periodicity and Applications to Integro Differential Equations written by Marko Kostić and published by Walter de Gruyter GmbH & Co KG. This book was released on 2023-06-06 with total page 576 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Fermi Pasta Ulam Problem written by Giovanni Gallavotti and published by Springer Science & Business Media. This book was released on 2007-11-22 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Acoustic Metamaterials and Phononic Crystals written by Pierre A. Deymier and published by Springer Science & Business Media. This book was released on 2013-01-13 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Patterns of Dynamics written by Pavel Gurevich and published by Springer. This book was released on 2018-02-07 with total page 411 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Nonlinearity written by and published by . This book was released on 2009 with total page 804 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Localization in Periodic Potentials written by Dmitry E. Pelinovsky and published by Cambridge University Press. This book was released on 2011-10-06 with total page 409 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Mathematical Reviews written by and published by . This book was released on 2007 with total page 884 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Lecture Notes on Schr dinger Equations written by Aleksandr Andreevich Pankov and published by . This book was released on 2007 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Analysis Modeling and Simulation of Multiscale Problems written by Alexander Mielke and published by Springer Science & Business Media. This book was released on 2006-10-14 with total page 704 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book reports recent mathematical developments in the Programme "Analysis, Modeling and Simulation of Multiscale Problems", which started as a German research initiative in 2006. Multiscale problems occur in many fields of science, such as microstructures in materials, sharp-interface models, many-particle systems and motions on different spatial and temporal scales in quantum mechanics or in molecular dynamics. The book presents current mathematical foundations of modeling, and proposes efficient numerical treatment.
Download or read book Dynamic Transition written by Hua Shen and published by . This book was released on 2009 with total page 174 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The British National Bibliography written by Arthur James Wells and published by . This book was released on 2005 with total page 1664 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Discrete and Continuous Dynamical Systems written by and published by . This book was released on 2007 with total page 486 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Characterization of Solitary Waves in Fermi Pasta Ulam Tsingou Systems written by William Falls and published by . This book was released on 2014 with total page 111 pages. Available in PDF, EPUB and Kindle. Book excerpt: Characterization of Solitary Waves in Fermi-Pasta-Ulam-Tsingou systemsby William FallsIt is well known that a velocity perturbation can travel through a mass spring chain withquadratic + quartic interactions as a solitary and antisolitary wave pair. In this thesis wewill characterize traveling waves on a Fermi-Pasta-Ulam-Tsingou (FPUT) chain . We show the existence of solitary wave solutions andcharacterize the solitary wave's width, height and speed. Using the Virial theorem weshow that the FPUT chain be related to an effective Hertzian system . Next we study how solitary waves interact with one another on a FPUT chain. We examine the resulting dynamics and study whether or not solitary waves can break andreform. In addition we study the interacting of solitary waves and anti-solitary waves. We investigate the creation of long lived localized oscillations that can be created fromsolitary wave anti-solitary wave interactions. In recent years, nonlinear wave propagation in 2D structures have also been explored. Inthis thesis we consider the propagation of such a velocity perturbation through systemshaving a 2D "Y" shaped structure where each of the three pieces that make up the "Y"are made of a small mass spring chain. In addition, we consider the case where multiple "Y" shaped structures are used to generate a "tree." Lastly we layout the study of the properties of 2D structures that are not constrained toan explicit shape. We allow these systems to evolve and adapt as energy passes throughthem and study the ultimate shapes they form as a result of external perturbations.
Download or read book Mathematical Modelling written by Hemen Dutta and published by American Mathematical Society. This book was released on 2023-07-07 with total page 174 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is a collection of chapters that present key ideas and theories, as well as their rigorous applications, required for the development of mathematical models in areas such as travelling waves, epidemiology, the chemotaxis system, atrial fibrillation, and vortex nerve complexes. The techniques, methodologies and approaches adopted in this book have relevance in several other fields including physics, biology, and sociology. Each chapter should also assist readers in comfortably comprehending the related and underlying ideas. The companion volume (Contemporary Mathematics, Volume 786) is devoted to principle and theory.
Download or read book Direction Reversing Travelling Waves in the Fermi Pasta Ulam Chain written by Bob Wilhelmus Rink and published by . This book was released on 2001 with total page 20 pages. Available in PDF, EPUB and Kindle. Book excerpt:
