Efficient Approximation Methods For The Global Long Term Behavior Of Dynamical Systems
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Efficient Approximation Methods For The Global Long Term Behavior Of Dynamical Systems
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Author : Péter Koltai
language : en
Publisher: Logos Verlag Berlin GmbH
Release Date : 2011
Efficient Approximation Methods For The Global Long Term Behavior Of Dynamical Systems written by Péter Koltai and has been published by Logos Verlag Berlin GmbH this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with categories.
Fur die Analyse des Langzeitverhaltens dynamischer Systeme werden in dieser Dissertation drei neue Ansatze, basierend auf Transferoperator-Methoden, zur Entwicklung effizienter Algorithmen vorgestellt. Zuerst leiten wir eine Diskretisierung auf dunnen Gittern her, um den Fluch der Dimension in den Griff zu bekommen. Die zweite Methode behandelt den infinitesimalen Generator der Transferoperator-Halbgruppe fur zeit-kontinuierliche Systeme. Als Drittes benutzen wir mean-field-Theorie, um die Dynamik von Subsystemen zu beschreiben, wobei besonderes Augenmerk auf die Konformationsanalyse in der Molekuldynamik gerichtet wird. Des Weiteren werden Bedingungen hergeleitet, unter welchen die Galerkin-Projektion des Transferoperators mit einer kleinen zufalligen Storung des zugrunde liegenden Systems in Verbindung gebracht werden kann. In this thesis three new transfer operator based approaches are developed for the analysis of the long-term behavior of dynamical systems. First, a sparse grid discretization is derived in order to deal with the "curse of dimension". The second method considers the infinitesimal generator of the transfer operator semigroup for continuous-time systems. The third method uses mean field theory to describe the dynamics of subsystems; here the main attention is devoted to conformation analysis in molecular dynamics. Further, conditions are derived such that the Galerkin projection of the transfer operator can be related to a small random perturbation of the underlying system.
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.
Averaging Methods In Nonlinear Dynamical Systems
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Author : Jan A. Sanders
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-08-18
Averaging Methods In Nonlinear Dynamical Systems written by Jan A. Sanders and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-08-18 with Mathematics categories.
Perturbation theory and in particular normal form theory has shown strong growth during the last decades. So it is not surprising that the authors have presented an extensive revision of the first edition of the Averaging Methods in Nonlinear Dynamical Systems book. There are many changes, corrections and updates in chapters on Basic Material and Asymptotics, Averaging, and Attraction. Chapters on Periodic Averaging and Hyperbolicity, Classical (first level) Normal Form Theory, Nilpotent (classical) Normal Form, and Higher Level Normal Form Theory are entirely new and represent new insights in averaging, in particular its relation with dynamical systems and the theory of normal forms. Also new are surveys on invariant manifolds in Appendix C and averaging for PDEs in Appendix E. Since the first edition, the book has expanded in length and the third author, James Murdock has been added. Review of First Edition "One of the most striking features of the book is the nice collection of examples, which range from the very simple to some that are elaborate, realistic, and of considerable practical importance. Most of them are presented in careful detail and are illustrated with profuse, illuminating diagrams." - Mathematical Reviews
Ergodic Theory Analysis And Efficient Simulation Of Dynamical Systems
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Author : Bernold Fiedler
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Ergodic Theory Analysis And Efficient Simulation Of Dynamical Systems written by Bernold Fiedler and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
This book summarizes and highlights progress in our understanding of Dy namical Systems during six years of the German Priority Research Program "Ergodic Theory, Analysis, and Efficient Simulation of Dynamical Systems" . The program was funded by the Deutsche Forschungsgemeinschaft (DFG) and aimed at combining, focussing, and enhancing research efforts of active groups in the field by cooperation on a federal level. The surveys in the book are addressed to experts and non-experts in the mathematical community alike. In addition they intend to convey the significance of the results for applications far into the neighboring disciplines of Science. Three fundamental topics in Dynamical Systems are at the core of our research effort: behavior for large time dimension measure, and chaos Each of these topics is, of course, a highly complex problem area in itself and does not fit naturally into the deplorably traditional confines of any of the disciplines of ergodic theory, analysis, or numerical analysis alone. The necessity of mathematical cooperation between these three disciplines is quite obvious when facing the formidahle task of establishing a bidirectional transfer which bridges the gap between deep, detailed theoretical insight and relevant, specific applications. Both analysis and numerical analysis playa key role when it comes to huilding that bridge. Some steps of our joint bridging efforts are collected in this volume. Neither our approach nor the presentations in this volume are monolithic.
Approximation Of Large Scale Dynamical Systems
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Author : Athanasios C. Antoulas
language : en
Publisher: SIAM
Release Date : 2009-06-25
Approximation Of Large Scale Dynamical Systems written by Athanasios C. Antoulas and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-06-25 with Mathematics categories.
Mathematical models are used to simulate, and sometimes control, the behavior of physical and artificial processes such as the weather and very large-scale integration (VLSI) circuits. The increasing need for accuracy has led to the development of highly complex models. However, in the presence of limited computational accuracy and storage capabilities model reduction (system approximation) is often necessary. Approximation of Large-Scale Dynamical Systems provides a comprehensive picture of model reduction, combining system theory with numerical linear algebra and computational considerations. It addresses the issue of model reduction and the resulting trade-offs between accuracy and complexity. Special attention is given to numerical aspects, simulation questions, and practical applications.
Novel Insights Into The Circulation Biogeochemistry And Ecosystem Function Of The Gulf Of Mexico A Perspective From Mexican Waters In Support Of Oil Spill Preparedness
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Author : Maria Josefina Olascoaga
language : en
Publisher: Frontiers Media SA
Release Date : 2023-12-11
Novel Insights Into The Circulation Biogeochemistry And Ecosystem Function Of The Gulf Of Mexico A Perspective From Mexican Waters In Support Of Oil Spill Preparedness written by Maria Josefina Olascoaga and has been published by Frontiers Media SA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-12-11 with Science categories.
In response to the Deepwater Horizon oil spill in the Gulf of Mexico (GoM), and given the increased activities of the offshore oil industry, an international multidisciplinary consortium - the CIGOM Consortium - was funded by Mexico's Energy Secretariat (SENER) and its National Council for Science and Technology (CONACyT). Spanning 2015-2022, CIGOM's goals were to establish an environmental baseline to characterize the southern GOM’s natural variability and contribute to the understanding of ecosystem function, use cutting-edge technologies to observe the ocean, couple physical circulation and biogeochemical models to gain understating of oceanographic processes, generate oil spill scenarios using model ensembles and statistical techniques and conducting vulnerability assessments. Over 300 researchers participated in the CIGOM consortium's efforts.
Advances In Dynamics Optimization And Computation
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Author : Oliver Junge
language : en
Publisher: Springer Nature
Release Date : 2020-07-20
Advances In Dynamics Optimization And Computation written by Oliver Junge and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-07-20 with Technology & Engineering categories.
This book presents a collection of papers on recent advances in problems concerning dynamics, optimal control and optimization. In many chapters, computational techniques play a central role. Set-oriented techniques feature prominently throughout the book, yielding state-of-the-art algorithms for computing general invariant sets, constructing globally optimal controllers and solving multi-objective optimization problems.
Proceedings Of The 9th International Conference On Computer Engineering And Networks
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Author : Qi Liu
language : en
Publisher: Springer Nature
Release Date : 2020-07-01
Proceedings Of The 9th International Conference On Computer Engineering And Networks written by Qi Liu and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-07-01 with Technology & Engineering categories.
This book gathers papers presented at the 9th International Conference on Computer Engineering and Networks (CENet2019), held in Changsha, China, on October 18–20, 2019. It examines innovations in the fields of computer engineering and networking and explores important, state-of-the-art developments in areas such as Information Security, Information Hiding and Cryptography, Cyber Security, and Intelligent Computing and Applications. The book also covers emerging topics in computer engineering and networking, along with their applications, discusses how to improve productivity by using the latest advanced technologies, and examines innovation in the fields of computer engineering and networking, particularly in intelligent computing and security.
Dynamics And Fault Diagnosis Of Nonlinear Rotors And Impellers
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Author : Jiazhong Zhang
language : en
Publisher: Springer Nature
Release Date : 2022-04-28
Dynamics And Fault Diagnosis Of Nonlinear Rotors And Impellers written by Jiazhong Zhang and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-04-28 with Technology & Engineering categories.
This contributed volume presents recent developments in nonlinear dynamics applied to engineering. Specifically, the authors address stability and bifurcation in large-scale, complex rotor dynamic systems; periodic motions and their bifurcations in nonlinear circuit systems, fault diagnosis of complex engineering systems with nonlinear approaches, singularities in fluid-machinery and bifurcation analysis, nonlinear behaviors in rotor dynamic system with multi-mistuned blades, mode localization induced by mistuning in impellers with periodical and cyclic symmetry, and nonlinear behaviors in fluid-structure interaction and their control. These new results will maximize reader understand on the recent progress in nonlinear dynamics applied to large-scale, engineering systems in general and nonlinear rotors and impellers in particular.
Exploiting The Use Of Strong Nonlinearity In Dynamics And Acoustics
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Author : Oleg V. Gendelman
language : en
Publisher: Springer Nature
Release Date : 2024-07-27
Exploiting The Use Of Strong Nonlinearity In Dynamics And Acoustics written by Oleg V. Gendelman and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-07-27 with Technology & Engineering categories.
This book covers the latest ideas and approaches in strongly nonlinear dynamical and acoustical systems and discusses appropriate modelling tools and practical examples highlighting the non-standard and non-stationary aspects of this challenging, yet so promising area. The contributions investigate and present the intentional use of nonlinearity in the most challenging field of acoustics, the latest developments in transient dynamics of strongly nonlinear systems, the subtle numeric problems arising while exploring nonlinear normal modes, the fascinating topic of nonlinear dynamics of wind musical instruments, the novel developments in the field of global nonlinear dynamics, some multi-faceted mathematical challenges in the dynamics of hysteretic systems, and lastly offers theoretical, numeric and experimental insights into the intricate dynamics of systems with contact nonlinearities. The need for such a work is underscored by the fact that accounting for, understanding of, and designing with nonlinearities is becoming an emerging universal trend in engineering practice, and is predicted to be even more so in the future. The book demonstrates that the idea of exploiting strong nonlinearity in dynamical and acoustical systems has transitioned from few early theoretical works to a diverse theoretical and experimental body of current research.