Global Analysis of Dynamical Systems

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Publisher : CRC Press
ISBN 13 : 9781420034288
Total Pages : 498 pages
Book Rating : 4.0/5 (342 download)

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Book Synopsis Global Analysis of Dynamical Systems by : H.W Broer

Download or read book Global Analysis of Dynamical Systems written by H.W Broer and published by CRC Press. This book was released on 2001-06-18 with total page 498 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contributed by close colleagues, friends, and former students of Floris Takens, Global Analysis of Dynamical Systems is a liber amicorum dedicated to Takens for his 60th birthday. The first chapter is a reproduction of Takens's 1974 paper "Forced oscillators and bifurcations" that was previously available only as a preprint of the University of Utrecht. Among other important results, it contains the unfolding of what is now known as the Bogdanov-Takens bifurcation. The remaining chapters cover topics as diverse as bifurcation theory, Hamiltonian mechanics, homoclinic bifurcations, routes to chaos, ergodic theory, renormalization theory, and time series analysis. In its entirety, the book bears witness to the influence of Takens on the modern theory of dynamical systems and its applications. This book is a must-read for anyone interested in this active and exciting field.

Global Analysis of Nonlinear Dynamics

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Publisher : Springer Science & Business Media
ISBN 13 : 146143128X
Total Pages : 297 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis Global Analysis of Nonlinear Dynamics by : Jian-Qiao Sun

Download or read book Global Analysis of Nonlinear Dynamics written by Jian-Qiao Sun and published by Springer Science & Business Media. This book was released on 2012-05-01 with total page 297 pages. Available in PDF, EPUB and Kindle. Book excerpt: Global Analysis of Nonlinear Dynamics collects chapters on recent developments in global analysis of non-linear dynamical systems with a particular emphasis on cell mapping methods developed by Professor C.S. Hsu of the University of California, Berkeley. This collection of contributions prepared by a diverse group of internationally recognized researchers is intended to stimulate interests in global analysis of complex and high-dimensional nonlinear dynamical systems, whose global properties are largely unexplored at this time.

Global Stability of Dynamical Systems

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Publisher : Springer
ISBN 13 : 9781441930798
Total Pages : 150 pages
Book Rating : 4.9/5 (37 download)

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Book Synopsis Global Stability of Dynamical Systems by : Michael Shub

Download or read book Global Stability of Dynamical Systems written by Michael Shub and published by Springer. This book was released on 2010-12-05 with total page 150 pages. Available in PDF, EPUB and Kindle. Book excerpt: These notes are the result of a course in dynamical systems given at Orsay during the 1976-77 academic year. I had given a similar course at the Gradu ate Center of the City University of New York the previous year and came to France equipped with the class notes of two of my students there, Carol Hurwitz and Michael Maller. My goal was to present Smale's n-Stability Theorem as completely and compactly as possible and in such a way that the students would have easy access to the literature. I was not confident that I could do all this in lectures in French, so I decided to distribute lecture notes. I wrote these notes in English and Remi Langevin translated them into French. His work involved much more than translation. He consistently corrected for style, clarity, and accuracy. Albert Fathi got involved in reading the manuscript. His role quickly expanded to extensive rewriting and writing. Fathi wrote (5. 1) and (5. 2) and rewrote Theorem 7. 8 when I was in despair of ever getting it right with all the details. He kept me honest at all points and played a large role in the final form of the manuscript. He also did the main work in getting the manuscript ready when I had left France and Langevin was unfortunately unavailable. I ran out of steam by the time it came to Chapter 10. M.

Organising centres in the semi-global analysis of dynamical systems

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Publisher :
ISBN 13 :
Total Pages : 133 pages
Book Rating : 4.:/5 (17 download)

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Book Synopsis Organising centres in the semi-global analysis of dynamical systems by : Khairul Saleh

Download or read book Organising centres in the semi-global analysis of dynamical systems written by Khairul Saleh and published by . This book was released on 2005 with total page 133 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Introduction to Global Analysis

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Author :
Publisher : Courier Corporation
ISBN 13 : 0486152294
Total Pages : 20 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Introduction to Global Analysis by : Donald W. Kahn

Download or read book Introduction to Global Analysis written by Donald W. Kahn and published by Courier Corporation. This book was released on 2013-11-07 with total page 20 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text introduces the methods of mathematical analysis as applied to manifolds, including the roles of differentiation and integration, infinite dimensions, Morse theory, Lie groups, and dynamical systems. 1980 edition.

Global Theory of Dynamical Systems

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Publisher : Springer
ISBN 13 : 3540383123
Total Pages : 508 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Global Theory of Dynamical Systems by : Z. Nitecki

Download or read book Global Theory of Dynamical Systems written by Z. Nitecki and published by Springer. This book was released on 2006-11-14 with total page 508 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Global Analysis of Dynamical Systems on Low-dimensional Manifolds

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Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (55 download)

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Book Synopsis Global Analysis of Dynamical Systems on Low-dimensional Manifolds by : Yi Song

Download or read book Global Analysis of Dynamical Systems on Low-dimensional Manifolds written by Yi Song and published by . This book was released on 2008 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Introduction to Global Analysis

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Publisher :
ISBN 13 : 9780123940506
Total Pages : 336 pages
Book Rating : 4.9/5 (45 download)

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Book Synopsis Introduction to Global Analysis by : Donald W. Kahn

Download or read book Introduction to Global Analysis written by Donald W. Kahn and published by . This book was released on 1980-01-01 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text introduces the methods of mathematical analysis as applied to manifolds, including the roles of differentiation and integration, infinite dimensions, Morse theory, Lie groups, and dynamical systems. 1980 edition.

Dynamical Systems, Bifurcation Analysis and Applications

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Publisher : Springer Nature
ISBN 13 : 9813298324
Total Pages : 241 pages
Book Rating : 4.8/5 (132 download)

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Book Synopsis Dynamical Systems, Bifurcation Analysis and Applications by : Mohd Hafiz Mohd

Download or read book Dynamical Systems, Bifurcation Analysis and Applications written by Mohd Hafiz Mohd and published by Springer Nature. This book was released on 2019-10-11 with total page 241 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the result of ​Southeast Asian Mathematical Society (SEAMS) School 2018 on Dynamical Systems and Bifurcation Analysis (DySBA). It addresses the latest developments in the field of dynamical systems, and highlights the importance of numerical continuation studies in tracking both stable and unstable steady states and bifurcation points to gain better understanding of the dynamics of the systems. The SEAMS School 2018 on DySBA was held in Penang from 6th to 13th August at the School of Mathematical Sciences, Universiti Sains Malaysia.The SEAMS Schools are part of series of intensive study programs that aim to provide opportunities for an advanced learning experience in mathematics via planned lectures, contributed talks, and hands-on workshop. This book will appeal to those postgraduates, lecturers and researchers working in the field of dynamical systems and their applications. Senior undergraduates in Mathematics will also find it useful.

Global Stability of Dynamical Systems

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Publisher : Springer Science & Business Media
ISBN 13 : 1475719477
Total Pages : 159 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Global Stability of Dynamical Systems by : Michael Shub

Download or read book Global Stability of Dynamical Systems written by Michael Shub and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 159 pages. Available in PDF, EPUB and Kindle. Book excerpt: These notes are the result of a course in dynamical systems given at Orsay during the 1976-77 academic year. I had given a similar course at the Gradu ate Center of the City University of New York the previous year and came to France equipped with the class notes of two of my students there, Carol Hurwitz and Michael Maller. My goal was to present Smale's n-Stability Theorem as completely and compactly as possible and in such a way that the students would have easy access to the literature. I was not confident that I could do all this in lectures in French, so I decided to distribute lecture notes. I wrote these notes in English and Remi Langevin translated them into French. His work involved much more than translation. He consistently corrected for style, clarity, and accuracy. Albert Fathi got involved in reading the manuscript. His role quickly expanded to extensive rewriting and writing. Fathi wrote (5. 1) and (5. 2) and rewrote Theorem 7. 8 when I was in despair of ever getting it right with all the details. He kept me honest at all points and played a large role in the final form of the manuscript. He also did the main work in getting the manuscript ready when I had left France and Langevin was unfortunately unavailable. I ran out of steam by the time it came to Chapter 10. M.

Discrete Dynamical Systems

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Publisher : Springer Science & Business Media
ISBN 13 : 3540367764
Total Pages : 159 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Discrete Dynamical Systems by : Oded Galor

Download or read book Discrete Dynamical Systems written by Oded Galor and published by Springer Science & Business Media. This book was released on 2007-05-17 with total page 159 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an introduction to discrete dynamical systems – a framework of analysis that is commonly used in the ?elds of biology, demography, ecology, economics, engineering, ?nance, and physics. The book characterizes the fundamental factors that govern the quantitative and qualitative trajectories of a variety of deterministic, discrete dynamical systems, providing solution methods for systems that can be solved analytically and methods of qualitative analysis for those systems that do not permit or necessitate an explicit solution. The analysis focuses initially on the characterization of the factors that govern the evolution of state variables in the elementary context of one-dimensional, ?rst-order, linear, autonomous systems. The f- damental insights about the forces that a?ect the evolution of these - ementary systems are subsequently generalized, and the determinants of the trajectories of multi-dimensional, nonlinear, higher-order, non- 1 autonomous dynamical systems are established. Chapter 1 focuses on the analysis of the evolution of state variables in one-dimensional, ?rst-order, autonomous systems. It introduces a method of solution for these systems, and it characterizes the traj- tory of a state variable, in relation to a steady-state equilibrium of the system, examining the local and global (asymptotic) stability of this steady-state equilibrium. The ?rst part of the chapter characterizes the factors that determine the existence, uniqueness and stability of a steady-state equilibrium in the elementary context of one-dimensional, ?rst-order, linear autonomous systems.

Uncertainty Modeling in Finite Element, Fatigue and Stability of Systems

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Publisher : World Scientific
ISBN 13 : 9810231288
Total Pages : 437 pages
Book Rating : 4.8/5 (12 download)

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Book Synopsis Uncertainty Modeling in Finite Element, Fatigue and Stability of Systems by : Achintya Haldar

Download or read book Uncertainty Modeling in Finite Element, Fatigue and Stability of Systems written by Achintya Haldar and published by World Scientific. This book was released on 1997 with total page 437 pages. Available in PDF, EPUB and Kindle. Book excerpt: The functionality of modern structural, mechanical and electrical or electronic systems depends on their ability to perform under uncertain conditions. Consideration of uncertainties and their effect on system behavior is an essential and integral part of defining systems. In eleven chapters, leading experts present an overview of the current state of uncertainty modeling, analysis and design of large systems in four major areas: finite and boundary element methods (common structural analysis techniques), fatigue, stability analysis, and fault-tolerant systems. The content of this book is unique; it describes exciting research developments and challenges in emerging areas, and provide a sophisticated toolbox for tackling uncertainty modeling in real systems.

Nonlinear Dynamical Systems Of Mathematical Physics: Spectral And Symplectic Integrability Analysis

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Publisher : World Scientific
ISBN 13 : 9814462713
Total Pages : 563 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Nonlinear Dynamical Systems Of Mathematical Physics: Spectral And Symplectic Integrability Analysis by : Denis Blackmore

Download or read book Nonlinear Dynamical Systems Of Mathematical Physics: Spectral And Symplectic Integrability Analysis written by Denis Blackmore and published by World Scientific. This book was released on 2011-03-04 with total page 563 pages. Available in PDF, EPUB and Kindle. Book excerpt: This distinctive volume presents a clear, rigorous grounding in modern nonlinear integrable dynamics theory and applications in mathematical physics, and an introduction to timely leading-edge developments in the field — including some innovations by the authors themselves — that have not appeared in any other book.The exposition begins with an introduction to modern integrable dynamical systems theory, treating such topics as Liouville-Arnold and Mischenko-Fomenko integrability. This sets the stage for such topics as new formulations of the gradient-holonomic algorithm for Lax integrability, novel treatments of classical integration by quadratures, Lie-algebraic characterizations of integrability, and recent results on tensor Poisson structures. Of particular note is the development via spectral reduction of a generalized de Rham-Hodge theory, related to Delsarte-Lions operators, leading to new Chern type classes useful for integrability analysis. Also included are elements of quantum mathematics along with applications to Whitham systems, gauge theories, hadronic string models, and a supplement on fundamental differential-geometric concepts making this volume essentially self-contained.This book is ideal as a reference and guide to new directions in research for advanced students and researchers interested in the modern theory and applications of integrable (especially infinite-dimensional) dynamical systems.

Applications of Global Analysis in Mathematical Physics

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Publisher :
ISBN 13 :
Total Pages : 292 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Applications of Global Analysis in Mathematical Physics by : Jerrold E. Marsden

Download or read book Applications of Global Analysis in Mathematical Physics written by Jerrold E. Marsden and published by . This book was released on 1993 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Dynamical Systems and Numerical Analysis

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Publisher : Cambridge University Press
ISBN 13 : 9780521645638
Total Pages : 708 pages
Book Rating : 4.6/5 (456 download)

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Book Synopsis Dynamical Systems and Numerical Analysis by : Andrew Stuart

Download or read book Dynamical Systems and Numerical Analysis written by Andrew Stuart and published by Cambridge University Press. This book was released on 1998-11-28 with total page 708 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first three chapters contain the elements of the theory of dynamical systems and the numerical solution of initial-value problems. In the remaining chapters, numerical methods are formulated as dynamical systems and the convergence and stability properties of the methods are examined.

Organising Centres in the Semi-global Analysis of Dynamical Systems

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Publisher :
ISBN 13 : 9789036724296
Total Pages : 133 pages
Book Rating : 4.7/5 (242 download)

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Book Synopsis Organising Centres in the Semi-global Analysis of Dynamical Systems by : Khairul Saleh

Download or read book Organising Centres in the Semi-global Analysis of Dynamical Systems written by Khairul Saleh and published by . This book was released on 2005 with total page 133 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Nonlinear Dynamical Systems and Chaos

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Author :
Publisher : Birkhäuser
ISBN 13 : 3034875185
Total Pages : 464 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Nonlinear Dynamical Systems and Chaos by : H.W. Broer

Download or read book Nonlinear Dynamical Systems and Chaos written by H.W. Broer and published by Birkhäuser. This book was released on 2013-11-11 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt: Symmetries in dynamical systems, "KAM theory and other perturbation theories", "Infinite dimensional systems", "Time series analysis" and "Numerical continuation and bifurcation analysis" were the main topics of the December 1995 Dynamical Systems Conference held in Groningen in honour of Johann Bernoulli. They now form the core of this work which seeks to present the state of the art in various branches of the theory of dynamical systems. A number of articles have a survey character whereas others deal with recent results in current research. It contains interesting material for all members of the dynamical systems community, ranging from geometric and analytic aspects from a mathematical point of view to applications in various sciences.