Multiscale Analysis And Nonlinear Dynamics

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Multiscale Analysis And Nonlinear Dynamics

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Author : Misha Meyer Pesenson
language : en
Publisher: John Wiley & Sons
Release Date : 2013-09-13

Multiscale Analysis And Nonlinear Dynamics written by Misha Meyer Pesenson and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-09-13 with Science categories.

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.

Methods Of Qualitative Theory In Nonlinear Dynamics

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Author : Leonid P. Shilnikov
language : en
Publisher: World Scientific
Release Date : 1998

Methods Of Qualitative Theory In Nonlinear Dynamics written by Leonid P. Shilnikov and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Science categories.

Bifurcation and Chaos has dominated research in nonlinear dynamics for over two decades and numerous introductory and advanced books have been published on this subject. There remains, however, a dire need for a textbook which provides a pedagogically appealing yet rigorous mathematical bridge between these two disparate levels of exposition. This book is written to serve the above unfulfilled need. Following the footsteps of Poincare, and the renowned Andronov school of nonlinear oscillations, this book focuses on the qualitative study of high-dimensional nonlinear dynamical systems. Many of the qualitative methods and tools presented in this book were developed only recently and have not yet appeared in a textbook form. In keeping with the self-contained nature of this book, all topics are developed with an introductory background and complete mathematical rigor. Generously illustrated and written with a high level of exposition, this book will appeal to both beginners and advanced studentsof nonlinear dynamics interested in learning a rigorous mathematical foundation of this fascinating subject.

Nonlinear Systems Analysis

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Author : M. Vidyasagar
language : en
Publisher: SIAM
Release Date : 2002-01-01

Nonlinear Systems Analysis written by M. Vidyasagar and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-01-01 with Mathematics categories.

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.

Topics In Nonlinear Time Series Analysis With Implications For Eeg Analysis

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Author : Andreas Galka
language : en
Publisher: World Scientific
Release Date : 2000-02-18

Topics In Nonlinear Time Series Analysis With Implications For Eeg Analysis written by Andreas Galka and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-02-18 with Science categories.

This book provides a thorough review of a class of powerful algorithms for the numerical analysis of complex time series data which were obtained from dynamical systems. These algorithms are based on the concept of state space representations of the underlying dynamics, as introduced by nonlinear dynamics. In particular, current algorithms for state space reconstruction, correlation dimension estimation, testing for determinism and surrogate data testing are presented — algorithms which have been playing a central role in the investigation of deterministic chaos and related phenomena since 1980. Special emphasis is given to the much-disputed issue whether these algorithms can be successfully employed for the analysis of the human electroencephalogram.

Nonlinear Structures Systems Volume 1

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Author : Gaetan Kerschen
language : en
Publisher: Springer Nature
Release Date : 2021-11-16

Nonlinear Structures Systems Volume 1 written by Gaetan Kerschen and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-11-16 with Technology & Engineering categories.

Multiscale Modeling And Analysis For Materials Simulation

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Author : Weizhu Bao
language : en
Publisher: World Scientific
Release Date : 2012

Multiscale Modeling And Analysis For Materials Simulation written by Weizhu Bao and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with Mathematics categories.

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.

Multiple Time Scale Dynamics

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Author : Christian Kuehn
language : en
Publisher: Springer
Release Date : 2015-02-25

Multiple Time Scale Dynamics written by Christian Kuehn and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-02-25 with Mathematics categories.

This book provides an introduction to dynamical systems with multiple time scales. The approach it takes is to provide an overview of key areas, particularly topics that are less available in the introductory form. The broad range of topics included makes it accessible for students and researchers new to the field to gain a quick and thorough overview. The first of its kind, this book merges a wide variety of different mathematical techniques into a more unified framework. The book is highly illustrated with many examples and exercises and an extensive bibliography. The target audience of this book are senior undergraduates, graduate students as well as researchers interested in using the multiple time scale dynamics theory in nonlinear science, either from a theoretical or a mathematical modeling perspective.

Proceedings Of The Iutam Symposium On Nonlinear Dynamics For Design Of Mechanical Systems Across Different Length Time Scales

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Author : Hiroshi Yabuno
language : en
Publisher: Springer Nature
Release Date : 2025-01-07

Proceedings Of The Iutam Symposium On Nonlinear Dynamics For Design Of Mechanical Systems Across Different Length Time Scales written by Hiroshi Yabuno and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-01-07 with Technology & Engineering categories.

This book presents insights from the IUTAM Symposium on Nonlinear Dynamics for Design of Mechanical Systems Across Different Length/Time Scales. It covers a diverse array of topics, including applications of parametric amplification and self-excitation, as well as the design and analysis of devices and systems that harness geometric and material nonlinearities. The book features chapters on nonlinear energy transfer, eigenfrequency detection through subharmonic and superharmonic resonances, and the innovative use of nonlinear mode localization. The authors explore dynamic stabilization under high-frequency excitation, the utilization of multimode interactions and nonlinear normal modes, and the application of nonlinear resonance and bifurcation in creating ultrasensitive sensors and high-performance actuators. This book provides a comprehensive record of the symposium's discussions, representing a collective effort to expand our understanding of nonlinear phenomena and its potential to reshape the landscape of mechanical system design.

Advancing The Characterization Of Neuronal Cyto Architecture By X Ray Phase Contrast Tomography

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Author : Marina Eckermann
language : en
Publisher: Universitätsverlag Göttingen
Release Date : 2021

Advancing The Characterization Of Neuronal Cyto Architecture By X Ray Phase Contrast Tomography written by Marina Eckermann and has been published by Universitätsverlag Göttingen this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021 with categories.

To bring physiology and pathology of the human brain into better micro-anatomical and histological context, studies with different methodologies are required. Established techniques such as electron microscopy or histology show limitations in view of invasiveness, labor-intense and artifact-prone sample preparation, as well as an adequate ratio between resolution and volume throughput. For this reason, X-ray phase-contrast tomography (PC-CT) has been proposed as a three-dimensional non-destructive imaging technique, which requires less effort in sample preparation and can assess larger volumes. Furthermore, it offers quantitative electron density based contrast even for unstained tissue. Up to now, however, PC-CT studies fell short in number of samples, so that structural alterations caused by neurodegenerative diseases cannot be distinguished from physiological inter-subject variations. In this thesis, the scalability of PC-CT with respect to the required number of samples and resolution-to-volume-throughput is demonstrated, and the methodology is advanced with respect to data acquisition, processing and segmentation. In addition to the human cerebellum, cortex and hippocampus are studied. Concerning quantification and analysis of PC-CT data, this work introduces optimal transport analysis to obtain quantitative metrics of the cyto-architecture and to identify changes due to neurodegenerative diseases. For the case of Alzheimer’s disease, this workflow reveals a yet undescribed compactification of granular cells in the human hippocampus. This thesis also provides optimized configurations to study neural tissues with laboratory instrumentation, and – finally – provides new correlative imaging approaches, in particular with scanning electron microscopy.

Dynamics Of Nonlinear Systems

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Author : Vladimir Hlavacek
language : en
Publisher: CRC Press
Release Date : 1986

Dynamics Of Nonlinear Systems written by Vladimir Hlavacek and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986 with Science categories.