Recent Advances in Nonlinear Dynamics and Synchronization

by Kyandoghere Kyamakya

Author	: Kyandoghere Kyamakya
Publisher	: Springer Science & Business Media
Total Pages	: 401
Release	: 2009-09-28
Genre	: Computers
ISBN	: 3642042260

GET BOOK

The selected contributions of this book shed light on a series of interesting aspects related to nonlinear dynamics and synchronization with the aim of demonstrating some of their interesting applications in a series of selected disciplines. This book contains thirteenth chapters which are organized around five main parts. The first part (containing five chapters) does focus on theoretical aspects and recent trends of nonlinear dynamics and synchronization. The second part (two chapters) presents some modeling and simulation issues through concrete application examples. The third part (two chapters) is focused on the application of nonlinear dynamics and synchronization in transportation. The fourth part (two chapters) presents some applications of synchronization in security-related system concepts. The fifth part (two chapters) considers further applications areas, i.e. pattern recognition and communication engineering.

Synchronization in Complex Networks of Nonlinear Dynamical Systems

by Chai Wah Wu

Author	: Chai Wah Wu
Publisher	: World Scientific
Total Pages	: 168
Release	: 2007
Genre	: Mathematics
ISBN	: 9812709746

GET BOOK

This book brings together two emerging research areas: synchronization in coupled nonlinear systems and complex networks, and study conditions under which a complex network of dynamical systems synchronizes. While there are many texts that study synchronization in chaotic systems or properties of complex networks, there are few texts that consider the intersection of these two very active and interdisciplinary research areas. The main theme of this book is that synchronization conditions can be related to graph theoretical properties of the underlying coupling topology. The book introduces ideas from systems theory, linear algebra and graph theory and the synergy between them that are necessary to derive synchronization conditions. Many of the results, which have been obtained fairly recently and have until now not appeared in textbook form, are presented with complete proofs. This text is suitable for graduate-level study or for researchers who would like to be better acquainted with the latest research in this area. Sample Chapter(s). Chapter 1: Introduction (76 KB). Contents: Graphs, Networks, Laplacian Matrices and Algebraic Connectivity; Graph Models; Synchronization in Networks of Nonlinear Continuous-Time Dynamical Systems; Synchronization in Networks of Coupled Discrete-Time Systems; Synchronization in Network of Systems with Linear Dynamics; Agreement and Consensus Problems in Groups of Interacting Agents. Readership: Graduate students and researchers in physics, applied mathematics and engineering.

Nonlinear Dynamics and Chaos: Advances and Perspectives

by Marco Thiel

Author	: Marco Thiel
Publisher	: Springer
Total Pages	: 300
Release	: 2010-05-17
Genre	: Science
ISBN	: 3642046290

GET BOOK

This book is a collection of papers contributed by some of the greatest names in the areas of chaos and nonlinear dynamics. Each paper examines a research topic at the frontier of the area of dynamical systems. As well as reviewing recent results, each paper also discusses the future perspectives of each topic. The result is an invaluable snapshot of the state of the ?eld by some of the most important researchers in the area. The ?rst contribution in this book (the section entitled “How did you get into Chaos?”) is actually not a paper, but a collection of personal accounts by a number of participants of the conference held in Aberdeen in September 2007 to honour Celso Grebogi’s 60th birthday. At the instigation of James Yorke, many of the most well-known scientists in the area agreed to share their tales on how they got involved in chaos during a celebratory dinner in Celso’s honour during the conference. This was recorded in video, we felt that these accounts were a valuable historic document for the ?eld. So we decided to transcribe it and include it here as the ?rst section of the book.

Synchronization

by Arkady Pikovsky

Author	: Arkady Pikovsky
Publisher	: Cambridge University Press
Total Pages	: 435
Release	: 2001-10-18
Genre	: Mathematics
ISBN	: 0521592852

GET BOOK

The book describes synchronization phenomena using both classical results and more recent developments.

Recent Advances in Applied Nonlinear Dynamics with Numerical Analysis

by Changpin Li

Author	: Changpin Li
Publisher	: World Scientific
Total Pages	: 414
Release	: 2013
Genre	: Science
ISBN	: 9814436461

GET BOOK

Nonlinear dynamics is still a hot and challenging topic. In this edited book, we focus on fractional dynamics, infinite dimensional dynamics defined by the partial differential equation, network dynamics, fractal dynamics, and their numerical analysis and simulation.Fractional dynamics is a new topic in the research field of nonlinear dynamics which has attracted increasing interest due to its potential applications in the real world, such as modeling memory processes and materials. In this part, basic theory for fractional differential equations and numerical simulations for these equations will be introduced and discussed.In the infinite dimensional dynamics part, we emphasize on numerical calculation and theoretical analysis, including constructing various numerical methods and computing the corresponding limit sets, etc.In the last part, we show interest in network dynamics and fractal dynamics together with numerical simulations as well as their applications.

Nonlinear Dynamical Systems with Self-Excited and Hidden Attractors

by Viet-Thanh Pham

Author	: Viet-Thanh Pham
Publisher	: Springer
Total Pages	: 497
Release	: 2018-02-26
Genre	: Technology & Engineering
ISBN	: 3319712438

GET BOOK

This book highlights the latest findings on nonlinear dynamical systems including two types of attractors: self-excited and hidden attractors. Further, it presents both theoretical and practical approaches to investigating nonlinear dynamical systems with self-excited and hidden attractors. The book includes 20 chapters contributed by respected experts, which focus on various applications such as biological systems, memristor-based systems, fractional-order systems, finance systems, business cycles, oscillators, coupled systems, hyperchaotic systems, flexible robot manipulators, electronic circuits, and control models. Special attention is given to modeling, design, circuit realization, and practical applications to address recent research problems in nonlinear dynamical systems. The book provides a valuable reference guide to nonlinear dynamical systems for engineers, researchers, and graduate students, especially those whose work involves mechanics, electrical engineering, and control systems.

Optical Communication with Chaotic Lasers

by Atsushi Uchida

Author	: Atsushi Uchida
Publisher	: John Wiley & Sons
Total Pages	: 669
Release	: 2012-02-13
Genre	: Technology & Engineering
ISBN	: 352740869X

GET BOOK

Starting with an introduction to the fundamental physics in chaotic instabilities in laser systems, this comprehensive and unified reference goes on to present the techniques and technology of synchronization of chaos in coupled lasers, as well as the many applications to lasers and optics, communications, security and information technology. Throughout, it presents the current state of knowledge, including encoding/decoding techniques, performance of chaotic communication systems, random number generation, and novel communication technologies.

Recent Advances in Nonlinear Dynamics and Synchronization

by

Author	:
Publisher	:
Total Pages	:
Release	: 2009
Genre	:
ISBN	: 9781282633773

GET BOOK

Recent Trends In Chaotic, Nonlinear And Complex Dynamics

by Jan Awrejcewicz

Author	: Jan Awrejcewicz
Publisher	: World Scientific
Total Pages	: 561
Release	: 2021-07-26
Genre	: Science
ISBN	: 981122191X

GET BOOK

In recent years, enormous progress has been made on nonlinear dynamics particularly on chaos and complex phenomena. This unique volume presents the advances made in theory, analysis, numerical simulation and experimental realization, promising novel practical applications on various topics of current interest on chaos and related fields of nonlinear dynamics.Particularly, the focus is on the following topics: synchronization vs. chaotic phenomena, chaos and its control in engineering dynamical systems, fractal-based dynamics, uncertainty and unpredictability measures vs. chaos, Hamiltonian systems and systems with time delay, local/global stability, bifurcations and their control, applications of machine learning to chaos, nonlinear vibrations of lumped mass mechanical/mechatronic systems (rigid body and coupled oscillator dynamics) governed by ODEs and continuous structural members (beams, plates, shells) vibrations governed by PDEs, patterns formation, chaos in micro- and nano-mechanical systems, chaotic reduced-order models, energy absorption/harvesting from chaotic, chaos vs. resonance phenomena, chaos exhibited by discontinuous systems, chaos in lab experiments.The present volume forms an invaluable source on recent trends in chaotic and complex dynamics for any researcher and newcomers to the field of nonlinear dynamics.