Nonlinear Dynamics In Optical Complex Systems

Download Nonlinear Dynamics In Optical Complex Systems ebook PDF or Read Online books in PDF, EPUB, and Mobi Format. Click Download or Read Online button to Nonlinear Dynamics In Optical Complex Systems book pdf for free now.

Nonlinear Dynamics In Optical Complex Systems

Author : Kenju Otsuka
ISBN : 0792361326
Genre : Technology & Engineering
File Size : 57.78 MB
Format : PDF, Kindle
Download : 869
Read : 935

This book is the first comprehensive volume on nonlinear dynamics and chaos in optical systems. A few books have been published recently, but they summarize applied mathematical methodologies toward understanding of nonlinear dynamics in laser systems with small degrees of freedom focusing on linearized perturbation and bifurcation analyses. In contrast to these publications, this book summarizes nonlinear dynamic problems in optical complex systems possessing large degrees of freedom, systematically featuring our original experimental results and their theoretical treatments. The new concepts introduced in this book will have a wide appeal to audiences involved in a rapidly-growing field of nonlinear dynamics. This book focuses on nonlinear dynamics and cooperative functions in realistic optical complex systems, such as multimode lasers, laser array, coupled nonlinear-element systems, and their applications to optical processing. This book is prepared for graduate students majoring in optical and laser physics, but the generic nature of complex systems described in this book may stimulate researchers in the field of nonlinear dynamics covering different academic areas including applied mathematics, hydrodynamics, celestial mechanics, chemistry, biology, and economics.
Category: Technology & Engineering

Applications Of Nonlinear Dynamics

Author : Visarath In
ISBN : 9783540856320
Genre : Technology & Engineering
File Size : 59.87 MB
Format : PDF, ePub, Docs
Download : 346
Read : 1320

The ?eld of applied nonlinear dynamics has attracted scientists and engineers across many different disciplines to develop innovative ideas and methods to study c- plex behavior exhibited by relatively simple systems. Examples include: population dynamics, ?uidization processes, applied optics, stochastic resonance, ?ocking and ?ightformations,lasers,andmechanicalandelectricaloscillators. Acommontheme among these and many other examples is the underlying universal laws of nonl- ear science that govern the behavior, in space and time, of a given system. These laws are universal in the sense that they transcend the model-speci?c features of a system and so they can be readily applied to explain and predict the behavior of a wide ranging phenomena, natural and arti?cial ones. Thus the emphasis in the past decades has been in explaining nonlinear phenomena with signi?cantly less att- tion paid to exploiting the rich behavior of nonlinear systems to design and fabricate new devices that can operate more ef?ciently. Recently, there has been a series of meetings on topics such as Experimental Chaos, Neural Coding, and Stochastic Resonance, which have brought together many researchers in the ?eld of nonlinear dynamics to discuss, mainly, theoretical ideas that may have the potential for further implementation. In contrast, the goal of the 2007 ICAND (International Conference on Applied Nonlinear Dynamics) was focused more sharply on the implementation of theoretical ideas into actual - vices and systems.
Category: Technology & Engineering

Nonlinear Dynamics Of Nanosystems

Author : Günter Radons
ISBN : 3527629386
Genre : Technology & Engineering
File Size : 49.91 MB
Format : PDF, ePub
Download : 626
Read : 1234

A discussion of the fundamental changes that occur when dynamical systems from the fields of nonlinear optics, solids, hydrodynamics and biophysics are scaled down to nanosize. The authors are leading scientists in the field and each of their contributions provides a broader introduction to the specific area of research. In so doing, they include both the experimental and theoretical point of view, focusing especially on the effects on the nonlinear dynamical behavior of scaling, stochasticity and quantum mechanics. For everybody working on the synthesis and integration of nanoscopic devices who sooner or later will have to learn how to deal with nonlinear effects.
Category: Technology & Engineering

Nonlinear Dynamics And Entropy Of Complex Systems With Hidden And Self Excited Attractors

Author : Christos Volos
ISBN : 9783038978985
Genre : Technology & Engineering
File Size : 37.44 MB
Format : PDF, Docs
Download : 526
Read : 592

In recent years, entropy has been used as a measure of the degree of chaos in dynamical systems. Thus, it is important to study entropy in nonlinear systems. Moreover, there has been increasing interest in the last few years regarding the novel classification of nonlinear dynamical systems including two kinds of attractors: self-excited attractors and hidden attractors. The localization of self-excited attractors by applying a standard computational procedure is straightforward. In systems with hidden attractors, however, a specific computational procedure must be developed, since equilibrium points do not help in the localization of hidden attractors. Some examples of this kind of system are chaotic dynamical systems with no equilibrium points; with only stable equilibria, curves of equilibria, and surfaces of equilibria; and with non-hyperbolic equilibria. There is evidence that hidden attractors play a vital role in various fields ranging from phase-locked loops, oscillators, describing convective fluid motion, drilling systems, information theory, cryptography, and multilevel DC/DC converters. This Special Issue is a collection of the latest scientific trends on the advanced topics of dynamics, entropy, fractional order calculus, and applications in complex systems with self-excited attractors and hidden attractors.
Category: Technology & Engineering

Nonlinear Optical Systems

Author : Luigi Lugiato
ISBN : 9781107062672
Genre : Science
File Size : 43.26 MB
Format : PDF, ePub
Download : 122
Read : 1204

An in-depth exploration of the dynamics of lasers and other relevant optical systems for graduate students and researchers.
Category: Science

A Mathematical Modeling Approach From Nonlinear Dynamics To Complex Systems

Author : Elbert E. N. Macau
ISBN : 9783319785127
Genre : Technology & Engineering
File Size : 35.85 MB
Format : PDF, Kindle
Download : 99
Read : 1036

This book collects recent developments in nonlinear and complex systems. It provides up-to-date theoretic developments and new techniques based on a nonlinear dynamical systems approach that can be used to model and understand complex behavior in nonlinear dynamical systems. It covers symmetry groups, conservation laws, risk reduction management, barriers in Hamiltonian systems, and synchronization and chaotic transient. Illustrating mathematical modeling applications to nonlinear physics and nonlinear engineering, the book is ideal for academic and industrial researchers concerned with machinery and controls, manufacturing, and controls. · Introduces new concepts for understanding and modeling complex systems; · Explains risk reduction management in complex systems; · Examines the symmetry group approach to understanding complex systems; · Illustrates the relation between transient chaos and crises.
Category: Technology & Engineering

Dynamical Systems With Applications Using Matlab

Author : Stephen Lynch
ISBN : 9780817681562
Genre : Technology & Engineering
File Size : 22.49 MB
Format : PDF, ePub
Download : 146
Read : 909

This introduction to dynamical systems theory guides readers through theory via example and the graphical MATLAB interface; the SIMULINK® accessory is used to simulate real-world dynamical processes. Examples included are from mechanics, electrical circuits, economics, population dynamics, epidemiology, nonlinear optics, materials science and neural networks. The book contains over 330 illustrations, 300 examples, and exercises with solutions.
Category: Technology & Engineering

Localized Excitations In Nonlinear Complex Systems

Author : Ricardo Carretero-González
ISBN : 9783319020570
Genre : Science
File Size : 77.3 MB
Format : PDF, ePub
Download : 410
Read : 609

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.
Category: Science

Nonlinear Dynamics And Spatial Complexity In Optical Systems

Author : R.G Harrison
ISBN : 0750302577
Genre : Technology & Engineering
File Size : 90.77 MB
Format : PDF, ePub
Download : 139
Read : 1142

A collection of prestigious postgraduate lectures, Nonlinear Dynamics and Spatial Complexity in Optical Systems reviews developments in the theory and practice of nonlinear dynamics and structural complexity, and explores modern-day applications in nonlinear optics. The book addresses systems including both singlemode and multimode lasers, bistable and multistable devices, optical fibers, counter-propagating beam interactions, nonlinear mixing, and related optical phenomena.
Category: Technology & Engineering

Introduction To Modern Dynamics

Author : David D. Nolte
ISBN : 9780199657032
Genre : Science
File Size : 41.48 MB
Format : PDF, Docs
Download : 850
Read : 1277

This book translates important topics of advanced classical physics, usually the rarefied domain of physics graduate classes, into simple language accessible to undergraduate students majoring in the physical sciences and engineering. It presents a unifying approach to the physics of chaos, nonlinear systems, dynamic networks, evolutionary dynamics, econophysics and the theory of relativity. All of these topics share a common foundation in which complex dynamicsare represented as simple trajectories. This approach is called geometric mechanics, and advanced concepts in general relativity or network theory become straightforward explorations of geometriccurves. Each chapter has many worked examples and simple computer simulations that allow the student to explore the rich phenomena of nonlinear physics.
Category: Science

Dynamical Systems With Applications Using Python

Author : Stephen Lynch
ISBN : 9783319781457
Genre : Mathematics
File Size : 67.29 MB
Format : PDF, ePub, Docs
Download : 744
Read : 172

This textbook provides a broad introduction to continuous and discrete dynamical systems. With its hands-on approach, the text leads the reader from basic theory to recently published research material in nonlinear ordinary differential equations, nonlinear optics, multifractals, neural networks, and binary oscillator computing. Dynamical Systems with Applications Using Python takes advantage of Python’s extensive visualization, simulation, and algorithmic tools to study those topics in nonlinear dynamical systems through numerical algorithms and generated diagrams. After a tutorial introduction to Python, the first part of the book deals with continuous systems using differential equations, including both ordinary and delay differential equations. The second part of the book deals with discrete dynamical systems and progresses to the study of both continuous and discrete systems in contexts like chaos control and synchronization, neural networks, and binary oscillator computing. These later sections are useful reference material for undergraduate student projects. The book is rounded off with example coursework to challenge students’ programming abilities and Python-based exam questions. This book will appeal to advanced undergraduate and graduate students, applied mathematicians, engineers, and researchers in a range of disciplines, such as biology, chemistry, computing, economics, and physics. Since it provides a survey of dynamical systems, a familiarity with linear algebra, real and complex analysis, calculus, and ordinary differential equations is necessary, and knowledge of a programming language like C or Java is beneficial but not essential.
Category: Mathematics

Reviews Of Nonlinear Dynamics And Complexity

Author : Heinz Georg Schuster
ISBN : 352763097X
Genre : Science
File Size : 60.59 MB
Format : PDF, ePub, Mobi
Download : 626
Read : 559

Written in a style that breaks the barriers between the disciplines, this monograph enables researchers from life science, physics, engineering, or chemistry to access the most recent results in a common language. The resulting review character of this project sets it apart from specialized journals, and allows each volume to respond quickly to new developments. This third volume contains new topics ranging from chaotic computing, via random dice tossing and stochastic limit-cycle oscillators, to a number theoretic example of self-organized criticality, wave localization in complex networks and anomalous diffusion. A first-class board of international scientists advises the editor, such that the carefully selected and invited contributions represent the latest and most relevant findings.
Category: Science

Computational Mind A Complex Dynamics Perspective

Author : Vladimir G. Ivancevic
ISBN : 9783540714651
Genre : Medical
File Size : 52.4 MB
Format : PDF
Download : 304
Read : 1255

This is a graduate–level monographic textbook in the field of Computational Intelligence. It presents a modern dynamical theory of the computational mind, combining cognitive psychology, artificial and computational intelligence, and chaos theory with quantum consciousness and computation. The book introduces to human and computational mind, comparing and contrasting main themes of cognitive psychology, artificial and computational intelligence.
Category: Medical

Control Of Complex Nonlinear Systems With Delay

Author : Philipp Hövel
ISBN : 3642141102
Genre : Science
File Size : 73.45 MB
Format : PDF, ePub, Docs
Download : 852
Read : 911

This research addresses delay effects in nonlinear systems, which are ubiquitous in various fields of physics, chemistry, biology, engineering, and even in social and economic systems. They may arise as a result of processing times or due to the finite propagation speed of information between the constituents of a complex system. Time delay has two complementary, counterintuitive and almost contradictory facets. On the one hand, delay is able to induce instabilities, bifurcations of periodic and more complicated orbits, multi-stability and chaotic motion. On the other hand, it can suppress instabilities, stabilize unstable stationary or periodic states and may control complex chaotic dynamics. This thesis deals with both aspects, and presents novel fundamental results on the controllability of nonlinear dynamics by time-delayed feedback, as well as applications to lasers, hybrid-mechanical systems, and coupled neural systems.
Category: Science

Thinking In Complexity

Author : Klaus Mainzer
ISBN : 3540002391
Genre : Science
File Size : 57.96 MB
Format : PDF
Download : 908
Read : 1289

This new edition also treats smart materials and artificial life. A new chapter on information and computational dynamics takes up many recent discussions in the community.
Category: Science

Transverse Pattern Formation In Photorefractive Optics

Author : Cornelia Denz
ISBN : 3540021094
Genre : Science
File Size : 82.15 MB
Format : PDF, ePub
Download : 202
Read : 321

Overview of current developments in nonlinear photorefractive optics. The book dicusses exciting discoveries, with special emphasis on transverse effects such as spatial soliton formation and interaction, spontaneous pattern formation and pattern competition in active feedback systems. Different aspects of potential applications, such as wave guiding in adaptive photorefractive solitons and techniques for pattern control for information processing, are also described.
Category: Science

Introduction To Modern Dynamics

Author : David D. Nolte
ISBN : 9780198844624
Genre : Science
File Size : 31.74 MB
Format : PDF
Download : 889
Read : 295

The best parts of physics are the last topics that our students ever see. These are the exciting new frontiers of nonlinear and complex systems that are at the forefront of university research and are the basis of many high-tech businesses. Topics such as traffic on the World Wide Web, the spread of epidemics through globally-mobile populations, or how the synchronization of global economies are governed by universal principles just as profound as Newton's laws. Nonetheless, the conventional university physics curriculum reserves most of these topics for graduate study because of the assumed need for advanced mathematics. However, by using only linear algebra and calculus, combined with exploratory computer simulations, all of these topics become accessible to advanced undergraduate students. The structure of this book combines the three main topics of modern dynamics - chaos theory, dynamics on complex networks, and general relativity - into a coherent framework. By taking a geometric view of physics, concentrating on the time evolution of physical systems as trajectories through abstract spaces, these topics share a common and simple mathematical language through which any student can gain a unified physical intuition. Given the growing importance of complex dynamical systems in many areas of science and technology, this text provides students with an up-to-date foundation for their future careers. This second edition has an updated introductory chapter and has added key topics to help students prepare for their GRE physics subject exam. It also has expanded chapters on Hamiltonian dynamics, Hamiltonian chaos, and Econophysics, while increasing the number of homework problems at the end of each chapter. The second edition is designed to fulfill the textbook needs of any advanced undergraduate course in mechanics.
Category: Science

Delay Coupled Complex Systems

Author : Valentin Flunkert
ISBN : 3642202500
Genre : Science
File Size : 74.18 MB
Format : PDF, Kindle
Download : 659
Read : 774

This work addresses time-delay in complex nonlinear systems and, in particular, its applications in complex networks; its role in control theory and nonlinear optics are also investigated. Delays arise naturally in networks of coupled systems due to finite signal propagation speeds and are thus a key issue in many areas of physics, biology, medicine, and technology. Synchronization phenomena in these networks play an important role, e.g., in the context of learning, cognitive and pathological states in the brain, for secure communication with chaotic lasers or for gene regulation. The thesis includes both novel results on the control of complex dynamics by time-delayed feedback and fundamental new insights into the interplay of delay and synchronization. One of the most interesting results here is a solution to the problem of complete synchronization in general networks with large coupling delay, i.e., large distances between the nodes, by giving a universal classification of networks that has a wide range of interdisciplinary applications.
Category: Science