Dynamical Systems Approaches To Nonlinear Problems In Systems And Circuits
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Dynamical Systems Approaches To Nonlinear Problems In Systems And Circuits
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Author : Fathi M. Abdel Salam
language : en
Publisher: SIAM
Release Date : 1988-01-01
Dynamical Systems Approaches To Nonlinear Problems In Systems And Circuits written by Fathi M. Abdel Salam and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988-01-01 with Science categories.
Bifurcation And Chaos In Complex Systems
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Author :
language : en
Publisher: Elsevier
Release Date : 2006-06-30
Bifurcation And Chaos In Complex Systems written by and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-06-30 with Science categories.
The book presents the recent achievements on bifurcation studies of nonlinear dynamical systems. The contributing authors of the book are all distinguished researchers in this interesting subject area. The first two chapters deal with the fundamental theoretical issues of bifurcation analysis in smooth and non-smooth dynamical systems. The cell mapping methods are presented for global bifurcations in stochastic and deterministic, nonlinear dynamical systems in the third chapter. The fourth chapter studies bifurcations and chaos in time-varying, parametrically excited nonlinear dynamical systems. The fifth chapter presents bifurcation analyses of modal interactions in distributed, nonlinear, dynamical systems of circular thin von Karman plates. The theories, methods and results presented in this book are of great interest to scientists and engineers in a wide range of disciplines. This book can be adopted as references for mathematicians, scientists, engineers and graduate students conducting research in nonlinear dynamical systems.· New Views for Difficult Problems· Novel Ideas and Concepts · Hilbert's 16th Problem· Normal Forms in Polynomial Hamiltonian Systems · Grazing Flow in Non-smooth Dynamical Systems· Stochastic and Fuzzy Nonlinear Dynamical Systems· Fuzzy Bifurcation· Parametrical, Nonlinear Systems· Mode Interactions in nonlinear dynamical systems
2 D Quadratic Maps And 3 D Ode Systems A Rigorous Approach
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Author : Zeraoulia Elhadj
language : en
Publisher: World Scientific
Release Date : 2010-07-08
2 D Quadratic Maps And 3 D Ode Systems A Rigorous Approach written by Zeraoulia Elhadj and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-07-08 with Science categories.
This book is based on research on the rigorous proof of chaos and bifurcations in 2-D quadratic maps, especially the invertible case such as the Hénon map, and in 3-D ODE's, especially piecewise linear systems such as the Chua's circuit. In addition, the book covers some recent works in the field of general 2-D quadratic maps, especially their classification into equivalence classes, and finding regions for chaos, hyperchaos, and non-chaos in the space of bifurcation parameters.Following the main introduction to the rigorous tools used to prove chaos and bifurcations in the two representative systems, is the study of the invertible case of the 2-D quadratic map, where previous works are oriented toward Hénon mapping. 2-D quadratic maps are then classified into 30 maps with well-known formulas. Two proofs on the regions for chaos, hyperchaos, and non-chaos in the space of the bifurcation parameters are presented using a technique based on the second-derivative test and bounds for Lyapunov exponents. Also included is the proof of chaos in the piecewise linear Chua's system using two methods, the first of which is based on the construction of Poincaré map, and the second is based on a computer-assisted proof. Finally, a rigorous analysis is provided on the bifurcational phenomena in the piecewise linear Chua's system using both an analytical 2-D mapping and a 1-D approximated Poincaré mapping in addition to other analytical methods.
Dynamics And Control Of Multibody Systems
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Author : Perinkulam Sambamurthy Krishnaprasad
language : en
Publisher: American Mathematical Soc.
Release Date : 1989
Dynamics And Control Of Multibody Systems written by Perinkulam Sambamurthy Krishnaprasad and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with Mathematics categories.
The study of complex, interconnected mechanical systems with rigid and flexible articulated components is of growing interest to both engineers and mathematicians. Recent work in this area reveals a rich geometry underlying the mathematical models used in this context. In particular, Lie groups of symmetries, reduction, and Poisson structures play a significant role in explicating the qualitative properties of multibody systems. In engineering applications, it is important to exploit the special structures of mechanical systems. For example, certain mechanical problems involving control of interconnected rigid bodies can be formulated as Lie-Poisson systems. The dynamics and control of robotic, aeronautic, and space structures involve difficulties in modeling, mathematical analysis, and numerical implementation. For example, a new generation of spacecraft with large, flexible components are presenting new challenges to the accurate modeling and prediction of the dynamic behavior of such structures. Recent developments in Hamiltonian dynamics and coupling of systems with symmetries has shed new light on some of these issues, while engineering questions have suggested new mathematical structures. These kinds of considerations motivated the organization of the AMS-IMS-SIAM Joint Summer Research Conference on Control Theory and Multibody Systems, held at Bowdoin College in August, 1988. This volume contains the proceedings of that conference. The papers presented here cover a range of topics, all of which could be viewed as applications of geometrical methods to problems arising in dynamics and control. The volume contains contributions from some of the top researchers and provides an excellent overview of the frontiers of research in this burgeoning area.
Geometric Aspects Of Industrial Design
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Author : David A. Field
language : en
Publisher: SIAM
Release Date : 1992-01-01
Geometric Aspects Of Industrial Design written by David A. Field and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992-01-01 with Art categories.
Ten papers from an April 1990 regional conference on industrial design theory at Wright-Patterson Air Force Base, Ohio, focus on computer-aided design. A second volume (see following entry) contains theoretical papers. Reproduced from the authors' copies; the line drawings are clear enough, but many
Proceedings Of The Fifth Siam Conference On Parallel Processing For Scientific Computing
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Author : J. J. Dongarra
language : en
Publisher: SIAM
Release Date : 1992-01-01
Proceedings Of The Fifth Siam Conference On Parallel Processing For Scientific Computing written by J. J. Dongarra and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992-01-01 with Science categories.
This text gives the proceedings for the fifth conference on parallel processing for scientific computing.
Differential Equations A Dynamical Systems Approach
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Author : John H. Hubbard
language : en
Publisher: Springer Science & Business Media
Release Date : 1997-10-17
Differential Equations A Dynamical Systems Approach written by John H. Hubbard 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 1997-10-17 with Mathematics categories.
This corrected third printing retains the authors'main emphasis on ordinary differential equations. It is most appropriate for upper level undergraduate and graduate students in the fields of mathematics, engineering, and applied mathematics, as well as the life sciences, physics and economics. The authors have taken the view that a differential equations theory defines functions; the object of the theory is to understand the behaviour of these functions. The tools the authors use include qualitative and numerical methods besides the traditional analytic methods, and the companion software, MacMath, is designed to bring these notions to life.
Computational Information Retrieval
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Author : Michael W. Berry
language : en
Publisher: SIAM
Release Date : 2001-01-01
Computational Information Retrieval written by Michael W. Berry and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-01-01 with Computers categories.
This volume contains selected papers that focus on the use of linear algebra, computational statistics, and computer science in the development of algorithms and software systems for text retrieval. Experts in information modeling and retrieval share their perspectives on the design of scalable but precise text retrieval systems, revealing many of the challenges and obstacles that mathematical and statistical models must overcome to be viable for automated text processing. This very useful proceedings is an excellent companion for courses in information retrieval, applied linear algebra, and applied statistics.
Integration Algorithms And Classical Mechanics
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Author : Jerrold E. Marsden, George W. Patrick, and William F. Shadwick
language : en
Publisher: American Mathematical Soc.
Release Date :
Integration Algorithms And Classical Mechanics written by Jerrold E. Marsden, George W. Patrick, and William F. Shadwick and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.
Dedicated to the late Juan Carlos Simo, this volume contains the proceedings of a workshop held at the Fields Institute in October 1993. The articles focus on current algorithms for the integration of mechanical systems, from systems in celestial mechanics to coupled rigid bodies to fluid mechanics. The scope of the articles ranges from symplectic integration methods to energy-momentum methods and related themes.
Theoretical Aspects Of Industrial Design
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Author : David Anthony Field
language : en
Publisher: SIAM
Release Date : 1992-01-01
Theoretical Aspects Of Industrial Design written by David Anthony Field and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992-01-01 with Art categories.
A companion to Geometric aspects . . . (see preceding entry). The 10 papers consider traditional applied mathematics emphasizing problems such as control and optimization in industrial design. No index. Acidic paper. Annotation copyright Book News, Inc. Portland, Or.