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A Proof Of The Poincar Bendixson Theorem


A Proof Of The Poincar Bendixson Theorem
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A Proof Of The Poincar Bendixson Theorem


A Proof Of The Poincar Bendixson Theorem
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Author : Marcellus S. Snow
language : en
Publisher:
Release Date : 1965

A Proof Of The Poincar Bendixson Theorem written by Marcellus S. Snow and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1965 with Differential equations categories.




Differential Equations And Dynamical Systems


Differential Equations And Dynamical Systems
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Author : Lawrence Perko
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-21

Differential Equations And Dynamical Systems written by Lawrence Perko 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 2013-11-21 with Mathematics categories.


This textbook presents a systematic study of the qualitative and geometric theory of nonlinear differential equations and dynamical systems. Although the main topic of the book is the local and global behavior of nonlinear systems and their bifurcations, a thorough treatment of linear systems is given at the beginning of the text. All the material necessary for a clear understanding of the qualitative behavior of dynamical systems is contained in this textbook, including an outline of the proof and examples illustrating the proof of the Hartman-Grobman theorem. In addition to minor corrections and updates throughout, this new edition includes materials on higher order Melnikov theory and the bifurcation of limit cycles for planar systems of differential equations.



Ordinary Differential Equations


Ordinary Differential Equations
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Author : Jane Cronin
language : en
Publisher: CRC Press
Release Date : 1994-02-15

Ordinary Differential Equations written by Jane Cronin and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-02-15 with Mathematics categories.


This text, now in its second edition, presents the basic theory of ordinary differential equations and relates the topological theory used in differential equations to advanced applications in chemistry and biology. It provides new motivations for studying extension theorems and existence theorems, supplies real-world examples, gives an early introduction to the use of geometric methods and offers a novel treatment of the Sturm-Liouville theory.



A Generalized Poincar Bendixson Theorem


A Generalized Poincar Bendixson Theorem
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Author : K. Munk Andersen
language : en
Publisher:
Release Date : 1982

A Generalized Poincar Bendixson Theorem written by K. Munk Andersen and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1982 with categories.




The Poincar Bendixson Theorem On The Klein Bottle For Continuous Vector Fields


The Poincar Bendixson Theorem On The Klein Bottle For Continuous Vector Fields
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Author : D. P. Demuner
language : en
Publisher:
Release Date : 2008

The Poincar Bendixson Theorem On The Klein Bottle For Continuous Vector Fields written by D. P. Demuner and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with categories.




Mat Report


Mat Report
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Author :
language : en
Publisher:
Release Date : 1982

Mat Report written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1982 with categories.




Stability And Stabilization


Stability And Stabilization
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Author : William J. Terrell
language : en
Publisher: Princeton University Press
Release Date : 2009-02-15

Stability And Stabilization written by William J. Terrell and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-02-15 with Mathematics categories.


Stability and Stabilization is the first intermediate-level textbook that covers stability and stabilization of equilibria for both linear and nonlinear time-invariant systems of ordinary differential equations. Designed for advanced undergraduates and beginning graduate students in the sciences, engineering, and mathematics, the book takes a unique modern approach that bridges the gap between linear and nonlinear systems. Presenting stability and stabilization of equilibria as a core problem of mathematical control theory, the book emphasizes the subject's mathematical coherence and unity, and it introduces and develops many of the core concepts of systems and control theory. There are five chapters on linear systems and nine chapters on nonlinear systems; an introductory chapter; a mathematical background chapter; a short final chapter on further reading; and appendixes on basic analysis, ordinary differential equations, manifolds and the Frobenius theorem, and comparison functions and their use in differential equations. The introduction to linear system theory presents the full framework of basic state-space theory, providing just enough detail to prepare students for the material on nonlinear systems. Focuses on stability and feedback stabilization Bridges the gap between linear and nonlinear systems for advanced undergraduates and beginning graduate students Balances coverage of linear and nonlinear systems Covers cascade systems Includes many examples and exercises



The Poincar Bendixson Theorem For Scalar Reaction Diffusion Equations


The Poincar Bendixson Theorem For Scalar Reaction Diffusion Equations
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Author : B. Fiedler
language : en
Publisher:
Release Date : 1988

The Poincar Bendixson Theorem For Scalar Reaction Diffusion Equations written by B. Fiedler and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with categories.




Elements Of Topological Dynamics


Elements Of Topological Dynamics
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Author : J. de Vries
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-17

Elements Of Topological Dynamics written by J. de Vries 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 2013-04-17 with Mathematics categories.


This book is designed as an introduction into what I call 'abstract' Topological Dynamics (TO): the study of topological transformation groups with respect to problems that can be traced back to the qualitative theory of differential equa is in the tradition of the books [GH] and [EW. The title tions. So this book (,Elements . . . ' rather than 'Introduction . . . ') does not mean that this book should be compared, either in scope or in (intended) impact, with the 'Ele ments' of Euclid or Bourbaki. Instead, it reflects the choice and organisation of the material in this book: elementary and basic (but sufficient to understand recent research papers in this field). There are still many challenging prob lems waiting for a solution, and especially among general topologists there is a growing interest in this direction. However, the technical inaccessability of many research papers makes it almost impossible for an outsider to under stand what is going on. To a large extent, this inaccessability is caused by the lack of a good and systematic exposition of the fundamental methods and techniques of abstract TO. This book is an attempt to fill this gap. The guiding principle for the organization of the material in this book has been the exposition of methods and techniques rather than a discussion of the leading problems and their solutions. though the latter are certainly not neglected: they are used as a motivation wherever possible.



Nonlinear Differential Equations And Dynamical Systems


Nonlinear Differential Equations And Dynamical Systems
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Author : Ferdinand Verhulst
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Nonlinear Differential Equations And Dynamical Systems written by Ferdinand Verhulst 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.


For lecture courses that cover the classical theory of nonlinear differential equations associated with Poincare and Lyapunov and introduce the student to the ideas of bifurcation theory and chaos, this text is ideal. Its excellent pedagogical style typically consists of an insightful overview followed by theorems, illustrative examples, and exercises.