Isospectral Transformations

Author : Leonid Bunimovich,Benjamin Webb
Publisher : Springer
Page : 189 pages
File Size : 53,7 Mb
Release : 2014-09-03
Category : Mathematics
ISBN : 9781493913756

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Isospectral Transformations by Leonid Bunimovich,Benjamin Webb Pdf

This book presents a new approach to the analysis of networks, which emphasizes how one can compress a network while preserving all information relative to the network's spectrum. Besides these compression techniques, the authors introduce a number of other isospectral transformations and demonstrate how, together, these methods can be applied to gain new results in a number of areas. This includes the stability of time-delayed and non time-delayed dynamical networks, eigenvalue estimation, pseudospectra analysis and the estimation of survival probabilities in open dynamical systems. The theory of isospectral transformations, developed in this text, can be readily applied in any area that involves the analysis of multidimensional systems and is especially applicable to the analysis of network dynamics. This book will be of interest to Mathematicians, Physicists, Biologists, Engineers and to anyone who has an interest in the dynamics of networks.

Author : Sunkyu Yu,Xianji Piao,Namkyoo Park
Publisher : Springer Nature
Page : 88 pages
File Size : 48,9 Mb
Release : 2019-09-03
Category : Science
ISBN : 9789811375279

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Top-Down Design of Disordered Photonic Structures by Sunkyu Yu,Xianji Piao,Namkyoo Park Pdf

This book introduces recent advances in the deterministic design of photonic structures, which overcome the current limitation in conventional disordered materials. It develops new concepts for disordered photonics inspired by notions in quantum mechanics, solid-state physics, mathematics and network theory, such as isospectrality, supersymmetry, graph network, small-world, de Broglie-Bohm theory, and parity-time symmetry. The multidisciplinary approach based on the core concepts of isospectrality (Chapter 2) and metadisorder (Chapter 3) offers a new perspective on the design methodology in photonics and in general disordered structures toward top-down designs of future photonic applications: perfect bandgap with strong modal localization, switching of random waves for binary and fuzzy logics, photonic analogy of graph networks, interdimensional signal transport, robust wave functions in disordered structures, and a novel method of energy storage and phase trapping based on Bohmian photonics. This book will provide new design criteria for physicists and engineers in photonics, and inspirations for researchers in other fields.

Author : Rubens Gonçalves Salsa Junior,Fai Ma
Publisher : Springer Nature
Page : 164 pages
File Size : 49,5 Mb
Release : 2020-11-21
Category : Technology & Engineering
ISBN : 9783030608460

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Advances in the Theory of System Decoupling by Rubens Gonçalves Salsa Junior,Fai Ma Pdf

This book presents a concise, clear, and consistent account of the methodology of phase synchronization, an extension of modal analysis to decouple any linear system in real space. It expounds on the novel theory of phase synchronization and presents recent advances, while also providing relevant background on classical decoupling theories that are used in structural analysis. The theory is illustrated with a broad range of examples. The theoretical development is also supplemented by applications to engineering problems. In addition, the methodology is implemented in a MATLAB algorithm which can be used to solve many of the illustrative examples in the book. This book is suited for researchers, practicing engineers, and graduate students in various fields of engineering, mathematics, and physical science.

Author : Andrew Adamatzky
Publisher : World Scientific
Page : 562 pages
File Size : 40,5 Mb
Release : 2013
Category : Computers
ISBN : 9789814434805

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Chaos, CNN, Memristors and Beyond by Andrew Adamatzky Pdf

This invaluable book is a unique collection of tributes to outstanding discoveries pioneered by Leon Chua in nonlinear circuits, cellular neural networks, and chaos. It is comprised of three parts. The first OCo cellular nonlinear networks, nonlinear circuits and cellular automata OCo deals with Chua''s Lagrangian circuits, cellular wave computers, bio-inspired robotics and neuro-morphic architectures, toroidal chaos, synaptic cellular automata, history of Chua''s circuits, cardiac arrhythmias, local activity principle, symmetry breaking and complexity, bifurcation trees, and Chua''s views on nonlinear dynamics of cellular automata. Dynamical systems and chaos is the scope of the second part of the book, where we find genius accounts on theory and application of Julia set, stability of dynamical networks, chaotic neural networks and neocortical dynamics, dynamics of piecewise linear systems, chaotic mathematical circuitry, synchronization of oscillators, models of catastrophic events, control of chaotic systems, symbolic dynamics, and solitons. First hand accounts on the discovery of memristors in HP Labs, historical excursions into OCyancient memristorsOCO, analytical analysis of memristors, and hardware memristor emulators are presented in the third and final part of the book.The book is quintessence of ideas on future and emergent hardware, analytic theories of complex dynamical systems and interdisciplinary physics. It is a true Renaissance volume where bright ideas of electronics, mathematics and physics enlighten facets of modern science.The unique DVD covers the artistic aspects of chaos, such as several stunningly melodious musical compositions using chaotic atttractors, a virtual gallery of hundreds of colorful attractors, and even a cartoon-like play on the genesis of Chua''s circuit that was based on a widely acclaimed performance in Rome and other venues in Italy. In short, it is a veritable kaleiscope of never-before-published historical, pedagogical, and futuristic technical visions on three timely topics of intense interest for both lay readers and experts alike."

Author : Chaohao Gu,Yunbo Zeng,Yishen Li,Guizhang Tu
Publisher : Springer Science & Business Media
Page : 299 pages
File Size : 44,8 Mb
Release : 2012-12-06
Category : Science
ISBN : 9783642841484

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Nonlinear Physics by Chaohao Gu,Yunbo Zeng,Yishen Li,Guizhang Tu Pdf

These refereed proceedings present recent developments on specific mathematical and physical aspects of nonlinear dynamics. The new findings discussed in here will be equally useful to graduate students and researchers. The topics dealt with cover a wide range of phenomena: solitons, integrable systems, Hamiltonian structures, Bäcklund and Darboux transformation, symmetries, fi- nite-dimensional dynamical systems, quantum and statistical mechanics, knot theory and braid group, R-matrix method, Hirota and Painlevé analysis, and applications to water waves, lattices, porous media, string theory and even cellular automata.

Author : Antonio Degasperis,Giuseppe Gaeta
Publisher : World Scientific
Page : 338 pages
File Size : 55,8 Mb
Release : 1999-12-30
Category : Electronic
ISBN : 9789814543163

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Symmetry And Perturbation Theory: Spt 98 by Antonio Degasperis,Giuseppe Gaeta Pdf

The second workshop on “Symmetry and Perturbation Theory” served as a forum for discussing the relations between symmetry and perturbation theory, and this put in contact rather different communities. The extension of the rigorous results of perturbation theory established for ODE's to the case of nonlinear evolution PDE's was also discussed: here a number of results are known, particularly in connection with (perturbation of) integrable systems, but there is no general frame as solidly established as in the finite-dimensional case. In aiming at such an infinite-dimensional extension, for which standard analytical tools essential in the ODE case are not available, it is natural to look primarily at geometrical and topological methods, and first of all at those based on exploiting the symmetry properties of the systems under study (both the unperturbed and the perturbed ones); moreover, symmetry considerations are in several ways basic to our understanding of integrability, i.e. finally of the unperturbed systems on whose understanding the whole of perturbation theory has unavoidably to rely.This volume contains tutorial, regular and contributed papers. The tutorial papers give students and newcomers to the field a rapid introduction to some active themes of research and recent results in symmetry and perturbation theory.

Author : Abdulla Azamov,Leonid Bunimovich,Akhtam Dzhalilov,Hong-Kun Zhang
Publisher : Springer
Page : 195 pages
File Size : 42,9 Mb
Release : 2018-10-20
Category : Mathematics
ISBN : 9783030014766

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Differential Equations and Dynamical Systems by Abdulla Azamov,Leonid Bunimovich,Akhtam Dzhalilov,Hong-Kun Zhang Pdf

This book features papers presented during a special session on dynamical systems, mathematical physics, and partial differential equations. Research articles are devoted to broad complex systems and models such as qualitative theory of dynamical systems, theory of games, circle diffeomorphisms, piecewise smooth circle maps, nonlinear parabolic systems, quadtratic dynamical systems, billiards, and intermittent maps. Focusing on a variety of topics from dynamical properties to stochastic properties of dynamical systems, this volume includes discussion on discrete-numerical tracking, conjugation between two critical circle maps, invariance principles, and the central limit theorem. Applications to game theory and networks are also included. Graduate students and researchers interested in complex systems, differential equations, dynamical systems, functional analysis, and mathematical physics will find this book useful for their studies. The special session was part of the second USA-Uzbekistan Conference on Analysis and Mathematical Physics held on August 8-12, 2017 at Urgench State University (Uzbekistan). The conference encouraged communication and future collaboration among U.S. mathematicians and their counterparts in Uzbekistan and other countries. Main themes included algebra and functional analysis, dynamical systems, mathematical physics and partial differential equations, probability theory and mathematical statistics, and pluripotential theory. A number of significant, recently established results were disseminated at the conference’s scheduled plenary talks, while invited talks presented a broad spectrum of findings in several sessions. Based on a different session from the conference, Algebra, Complex Analysis, and Pluripotential Theory is also published in the Springer Proceedings in Mathematics & Statistics Series.

Author : Mauro Fernandes Pereira,Apostolos Apostolakis
Publisher : Springer Nature
Page : 290 pages
File Size : 50,9 Mb
Release : 2021-04-30
Category : Science
ISBN : 9789402420821

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Terahertz (THz), Mid Infrared (MIR) and Near Infrared (NIR) Technologies for Protection of Critical Infrastructures Against Explosives and CBRN by Mauro Fernandes Pereira,Apostolos Apostolakis Pdf

Critical infrastructures are targets for terrorism and deliver a valuable vector through which the proliferation of CBRN and explosive precursors can be detected. Recent technological breakthroughs, notably in the field of near infrared (NIR), mid infrared (MIR), Terahertz (THz) and Gigahertz (GHz) sources and detectors, have led to rugged commercial devices, capable of standoff sensing a range of these dangerous substances. However, at the same time criminal and terrorist organizations have also benefited from the availability of technologies to increase the threat they pose to the security of citizens and a concerted effort is needed to improve early detection measures to identify activities, such as the production of homemade explosives or CBRN that can be potentially dangerous to society. The key global technological bottleneck to be overcome is the current lack of integration and networking of mature detection technology into early warning systems for critical infrastructures. Thus, this book brings together complementary information connecting the research of leading teams working on critical Infrastructure protection with academic developers and industrial producers of state of the art sensors.

Author : Thomas DeGrand,Carleton DeTar
Publisher : World Scientific
Page : 363 pages
File Size : 53,9 Mb
Release : 2006
Category : Science
ISBN : 9789812773982

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Lattice Methods for Quantum Chromodynamics by Thomas DeGrand,Carleton DeTar Pdf

At a time of robust worldwide debates on globalization, this compact volume shows: how successful each of the East Asian economies have been in harnessing globalization by appropriate and alternative means to catch up with the advanced economies; and what implications can be drawn to assess Chinese economic growth in context. The essays in this book include supporting notes to review effectively the highlights of the development of East Asia, over the six decades after World War II: why the region has performed so well economically relative to the rest of the developing world; which are the most challenging limitations to be addressed; and several sensational controversies in the development economics literature to be sensibly resolved.

Author : A. Iserles
Publisher : Cambridge University Press
Page : 424 pages
File Size : 53,6 Mb
Release : 2008-06-12
Category : Mathematics
ISBN : 0521516420

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Acta Numerica 2008: Volume 17 by A. Iserles Pdf

A high-impact, prestigious annual publication containing invited surveys by subject leaders: essential reading for all practitioners and researchers.

Author : Wael Bahsoun,Christopher Bose,Gary Froyland
Publisher : Springer Science & Business
Page : 240 pages
File Size : 48,6 Mb
Release : 2014-05-02
Category : Mathematics
ISBN : 9781493904198

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Ergodic Theory, Open Dynamics, and Coherent Structures by Wael Bahsoun,Christopher Bose,Gary Froyland Pdf

This book is comprised of selected research articles developed from a workshop on Ergodic Theory, Probabilistic Methods and Applications, held in April 2012 at the Banff International Research Station. It contains contributions from world leading experts in ergodic theory, numerical dynamical systems, molecular dynamics and ocean/atmosphere dynamics, nonequilibrium statistical mechanics. The volume will serve as a valuable reference for mathematicians, physicists, engineers, biologists and climate scientists, who currently use, or wish to learn how to use, probabilistic techniques to cope with dynamical models that display open or non-equilibrium behavior.

Author : University of Hong Kong
Publisher : Unknown
Page : 408 pages
File Size : 54,9 Mb
Release : 1989
Category : Dissertations, Academic
ISBN : UCAL:B3306616

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Abstracts of Theses by University of Hong Kong Pdf

Author : C. Rogers,W. K. Schief
Publisher : Cambridge University Press
Page : 436 pages
File Size : 49,6 Mb
Release : 2002-06-24
Category : Mathematics
ISBN : 0521012880

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Bäcklund and Darboux Transformations by C. Rogers,W. K. Schief Pdf

This book explores the deep and fascinating connections that exist between a ubiquitous class of physically important waves known as solitons and the theory of transformations of a privileged class of surfaces as they were studied by eminent geometers of the nineteenth century. Thus, nonlinear equations governing soliton propagation and also mathematical descriptions of their remarkable interaction properties are shown to arise naturally out of the classical differential geometry of surfaces and what are termed Bäcklund-Darboux transformations.This text, the first of its kind, is written in a straightforward manner and is punctuated by exercises to test the understanding of the reader. It is suitable for use in higher undergraduate or graduate level courses directed at applied mathematicians or mathematical physics.

Author : Igor S. Aranson,Arkady Pikovsky,Nikolai F. Rulkov,Lev S. Tsimring
Publisher : Springer
Page : 336 pages
File Size : 53,8 Mb
Release : 2017-05-02
Category : Technology & Engineering
ISBN : 9783319536736

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Advances in Dynamics, Patterns, Cognition by Igor S. Aranson,Arkady Pikovsky,Nikolai F. Rulkov,Lev S. Tsimring Pdf

This book focuses on recent progress in complexity research based on the fundamental nonlinear dynamical and statistical theory of oscillations, waves, chaos, and structures far from equilibrium. Celebrating seminal contributions to the field by Prof. M. I. Rabinovich of the University of California at San Diego, this volume brings together perspectives on both the fundamental aspects of complexity studies, as well as in applications in different fields ranging from granular patterns to understanding of the cognitive brain and mind dynamics. The slate of world-class authors review recent achievements that together present a broad and coherent coverage of modern research in complexity greater than the sum of its parts.

Author : Dragan P. Uskokovic,S.K. Milonji?,D. Rakovi?
Publisher : Trans Tech Publications Ltd
Page : 600 pages
File Size : 45,6 Mb
Release : 2004-05-15
Category : Technology & Engineering
ISBN : 9783035706260

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Progress in Advanced Materials and Processes by Dragan P. Uskokovic,S.K. Milonji?,D. Rakovi? Pdf

Volume is indexed by Thomson Reuters CPCI-S (WoS). These proceedings, PROGRESS IN ADVANCED MATERIALS AND PROCESSES, include selected papers which were presented at the Fifth Yugoslav Materials Research Society Conference (Yu-MRS Meeting), held in Herceg Novi, Yugoslavia, September 15-19th, 2003. The previous four conferences were also held there, and the Yugoslav Materials Research Society was formed as a non-governmental, non-profit, scientific association, whose main goals and tasks are to encourage creativity in materials science and engineering, to achieve the harmonic coordination of these fields in Serbia and Montenegro, and to link these researches to analogous activities carried out worldwide; in order to incorporate them into international – even global - programs. Materials science and engineering involve the acquisition of knowledge concerning the synthesis and processing of materials, their composition and structure, properties and behaviour, characteristics and potential, and their application in devices, machines, consumer units and other finished products. Our economic prosperity, quality of life and hopes for a healthy environment are closely connected with improvements in existing products and the development of new ones together with their associated processing technologies.