Multiscale Analysis and Nonlinear Dynamics

Multiscale Analysis and Nonlinear Dynamics PDF Author: Misha Meyer Pesenson
Publisher: John Wiley & Sons
ISBN: 352767165X
Category : Science
Languages : en
Pages : 307

Get Book Here

Book Description
Since modeling multiscale phenomena in systems biology and neuroscience is a highly interdisciplinary task, the editor of the book invited experts in bio-engineering, chemistry, cardiology, neuroscience, computer science, and applied mathematics, to provide their perspectives. Each chapter is a window into the current state of the art in the areas of research discussed and the book is intended for advanced researchers interested in recent developments in these fields. While multiscale analysis is the major integrating theme of the book, its subtitle does not call for bridging the scales from genes to behavior, but rather stresses the unifying perspective offered by the concepts referred to in the title. It is believed that the interdisciplinary approach adopted here will be beneficial for all the above mentioned fields.

Multiscale Analysis and Nonlinear Dynamics

Multiscale Analysis and Nonlinear Dynamics PDF Author: Misha Meyer Pesenson
Publisher: John Wiley & Sons
ISBN: 352767165X
Category : Science
Languages : en
Pages : 307

Get Book Here

Book Description
Since modeling multiscale phenomena in systems biology and neuroscience is a highly interdisciplinary task, the editor of the book invited experts in bio-engineering, chemistry, cardiology, neuroscience, computer science, and applied mathematics, to provide their perspectives. Each chapter is a window into the current state of the art in the areas of research discussed and the book is intended for advanced researchers interested in recent developments in these fields. While multiscale analysis is the major integrating theme of the book, its subtitle does not call for bridging the scales from genes to behavior, but rather stresses the unifying perspective offered by the concepts referred to in the title. It is believed that the interdisciplinary approach adopted here will be beneficial for all the above mentioned fields.

Nonlinear Dynamics

Nonlinear Dynamics PDF Author: Marc R Roussel
Publisher: Morgan & Claypool Publishers
ISBN: 1643274643
Category : Science
Languages : en
Pages : 190

Get Book Here

Book Description
This book uses a hands-on approach to nonlinear dynamics using commonly available software, including the free dynamical systems software Xppaut, Matlab (or its free cousin, Octave) and the Maple symbolic algebra system. Detailed instructions for various common procedures, including bifurcation analysis using the version of AUTO embedded in Xppaut, are provided. This book also provides a survey that can be taught in a single academic term covering a greater variety of dynamical systems (discrete versus continuous time, finite versus infinite-dimensional, dissipative versus conservative) than is normally seen in introductory texts. Numerical computation and linear stability analysis are used as unifying themes throughout the book. Despite the emphasis on computer calculations, theory is not neglected, and fundamental concepts from the field of nonlinear dynamics such as solution maps and invariant manifolds are presented.

Data-Driven Science and Engineering

Data-Driven Science and Engineering PDF Author: Steven L. Brunton
Publisher: Cambridge University Press
ISBN: 1009098489
Category : Computers
Languages : en
Pages : 615

Get Book Here

Book Description
A textbook covering data-science and machine learning methods for modelling and control in engineering and science, with Python and MATLAB®.

Nonlinear Systems Analysis

Nonlinear Systems Analysis PDF Author: M. Vidyasagar
Publisher: SIAM
ISBN: 9780898719185
Category : Mathematics
Languages : en
Pages : 515

Get Book Here

Book Description
When M. Vidyasagar wrote the first edition of Nonlinear Systems Analysis, most control theorists considered the subject of nonlinear systems a mystery. Since then, advances in the application of differential geometric methods to nonlinear analysis have matured to a stage where every control theorist needs to possess knowledge of the basic techniques because virtually all physical systems are nonlinear in nature. The second edition, now republished in SIAM's Classics in Applied Mathematics series, provides a rigorous mathematical analysis of the behavior of nonlinear control systems under a variety of situations. It develops nonlinear generalizations of a large number of techniques and methods widely used in linear control theory. The book contains three extensive chapters devoted to the key topics of Lyapunov stability, input-output stability, and the treatment of differential geometric control theory. Audience: this text is designed for use at the graduate level in the area of nonlinear systems and as a resource for professional researchers and practitioners working in areas such as robotics, spacecraft control, motor control, and power systems.

Multiscale Modeling and Analysis for Materials Simulation

Multiscale Modeling and Analysis for Materials Simulation PDF Author: Weizhu Bao
Publisher: World Scientific
ISBN: 9814360899
Category : Mathematics
Languages : en
Pages : 285

Get Book Here

Book Description
The Institute for Mathematical Sciences at the National University of Singapore hosted a two-month research program on "Mathematical Theory and Numerical Methods for Computational Materials Simulation and Design" from 1 July to 31 August 2009. As an important part of the program, tutorials and special lectures were given by leading experts in the fields for participating graduate students and junior researchers. This invaluable volume collects four expanded lecture notes with self-contained tutorials. They cover a number of aspects on multiscale modeling, analysis and simulations for problems arising from materials science including some critical components in computational prediction of materials properties such as the multiscale properties of complex materials, properties of defects, interfaces and material microstructures under different conditions, critical issues in developing efficient numerical methods and analytic frameworks for complex and multiscale materials models. This volume serves to inspire graduate students and researchers who choose to embark into original research work in these fields.

Multi-scale Phenomena in Complex Fluids

Multi-scale Phenomena in Complex Fluids PDF Author: Thomas Y. Hou
Publisher: World Scientific
ISBN: 9814273252
Category : Science
Languages : en
Pages : 379

Get Book Here

Book Description
Multi-Scale Phenomena in Complex Fluids is a collection of lecture notes delivered during the ªrst two series of mini-courses from "Shanghai Summer School on Analysis and Numerics in Modern Sciences," which was held in 2004 and 2006 at Fudan University, Shanghai, China. This review volume of 5 chapters, covering various fields in complex fluids, places emphasis on multi-scale modeling, analyses and simulations. It will be of special interest to researchers and graduate students who want to work in the field of complex fluids.

Principles of Multiscale Modeling

Principles of Multiscale Modeling PDF Author: Weinan E
Publisher: Cambridge University Press
ISBN: 1107096545
Category : Mathematics
Languages : en
Pages : 485

Get Book Here

Book Description
A systematic discussion of the fundamental principles, written by a leading contributor to the field.

Nonlinear Structures & Systems, Volume 1

Nonlinear Structures & Systems, Volume 1 PDF Author: Gaetan Kerschen
Publisher: Springer Nature
ISBN: 3030771350
Category : Technology & Engineering
Languages : en
Pages : 215

Get Book Here

Book Description


Dynamics of Nonlinear Systems

Dynamics of Nonlinear Systems PDF Author: Vladimir Hlavacek
Publisher: CRC Press
ISBN: 9782881241116
Category : Science
Languages : en
Pages : 328

Get Book Here

Book Description


Multiscale Analysis of Complex Time Series

Multiscale Analysis of Complex Time Series PDF Author: Jianbo Gao
Publisher: John Wiley & Sons
ISBN: 0470191643
Category : Mathematics
Languages : en
Pages : 368

Get Book Here

Book Description
The only integrative approach to chaos and random fractal theory Chaos and random fractal theory are two of the most important theories developed for data analysis. Until now, there has been no single book that encompasses all of the basic concepts necessary for researchers to fully understand the ever-expanding literature and apply novel methods to effectively solve their signal processing problems. Multiscale Analysis of Complex Time Series fills this pressing need by presenting chaos and random fractal theory in a unified manner. Adopting a data-driven approach, the book covers: DNA sequence analysis EEG analysis Heart rate variability analysis Neural information processing Network traffic modeling Economic time series analysis And more Additionally, the book illustrates almost every concept presented through applications and a dedicated Web site is available with source codes written in various languages, including Java, Fortran, C, and MATLAB, together with some simulated and experimental data. The only modern treatment of signal processing with chaos and random fractals unified, this is an essential book for researchers and graduate students in electrical engineering, computer science, bioengineering, and many other fields.