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Structurally Stable Quadratic Vector Fields


Structurally Stable Quadratic Vector Fields
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Structurally Stable Quadratic Vector Fields


Structurally Stable Quadratic Vector Fields
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Author : Joan C. Artés
language : en
Publisher: American Mathematical Soc.
Release Date : 1998

Structurally Stable Quadratic Vector Fields written by Joan C. Artés 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 1998 with Mathematics categories.


This book solves a problem that has been open for over 20 years--the complete classification of structurally stable quadratic vector fields modulo limit cycles. The authors give all possible phase portraits for such structurally stable quadratic vector fields. No index. Annotation copyrighted by Book News, Inc., Portland, OR



Structurally Unstable Quadratic Vector Fields Of Codimension One


Structurally Unstable Quadratic Vector Fields Of Codimension One
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Author : Joan C. Artés
language : en
Publisher: Springer
Release Date : 2018-06-28

Structurally Unstable Quadratic Vector Fields Of Codimension One written by Joan C. Artés and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-06-28 with Mathematics categories.


Originating from research in the qualitative theory of ordinary differential equations, this book follows the authors’ work on structurally stable planar quadratic polynomial differential systems. In the present work the authors aim at finding all possible phase portraits in the Poincaré disc, modulo limit cycles, of planar quadratic polynomial differential systems manifesting the simplest level of structural instability. They prove that there are at most 211 and at least 204 of them.



Structurally Stable Quadratic Vector Fields


Structurally Stable Quadratic Vector Fields
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Author : Joan C. Artés
language : en
Publisher: American Mathematical Society(RI)
Release Date : 2014-09-11

Structurally Stable Quadratic Vector Fields written by Joan C. Artés and has been published by American Mathematical Society(RI) this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-09-11 with MATHEMATICS categories.


This book is intended for graduate students and research mathematicians.



Realization Of Vector Fields And Dynamics Of Spatially Homogeneous Parabolic Equations


Realization Of Vector Fields And Dynamics Of Spatially Homogeneous Parabolic Equations
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Author : Edward Norman Dancer
language : en
Publisher: American Mathematical Soc.
Release Date : 1999

Realization Of Vector Fields And Dynamics Of Spatially Homogeneous Parabolic Equations written by Edward Norman Dancer 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 1999 with Mathematics categories.


This book is intended for graduate students and research mathematicians working in partial differential equations.



Qualitative Theory Of Planar Differential Systems


Qualitative Theory Of Planar Differential Systems
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Author : Freddy Dumortier
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-10-13

Qualitative Theory Of Planar Differential Systems written by Freddy Dumortier 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 2006-10-13 with Mathematics categories.


This book deals with systems of polynomial autonomous ordinary differential equations in two real variables. The emphasis is mainly qualitative, although attention is also given to more algebraic aspects as a thorough study of the center/focus problem and recent results on integrability. In the last two chapters the performant software tool P4 is introduced. From the start, differential systems are represented by vector fields enabling, in full strength, a dynamical systems approach. All essential notions, including invariant manifolds, normal forms, desingularization of singularities, index theory and limit cycles, are introduced and the main results are proved for smooth systems with the necessary specifications for analytic and polynomial systems.



Rational S 1 Equivariant Stable Homotopy Theory


Rational S 1 Equivariant Stable Homotopy Theory
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Author : John Patrick Campbell Greenlees
language : en
Publisher: American Mathematical Soc.
Release Date : 1999

Rational S 1 Equivariant Stable Homotopy Theory written by John Patrick Campbell Greenlees 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 1999 with Mathematics categories.


The memoir presents a systematic study of rational S1-equivariant cohomology theories, and a complete algebraic model for them. It provides a classification of such cohomology theories in simple algebraic terms and a practical means of calculation. The power of the model is illustrated by analysis of the Segal conjecture, the behaviour of the Atiyah-Hirzebruch spectral sequence, the structure of S1-equivariant K-theory, and the rational behaviour of cyclotomic spectra and the topological cyclic homology construction.



Global Structural Stability Of Flows On Open Surfaces


Global Structural Stability Of Flows On Open Surfaces
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Author : Janina Kotus
language : en
Publisher: American Mathematical Soc.
Release Date : 1982

Global Structural Stability Of Flows On Open Surfaces written by Janina Kotus 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 1982 with Mathematics categories.


This monograph considers structural stability on open 2-manifolds in the [italic]C[superscript italic]r-Whitney topology. The statements of the theorems in this monograph are analogous to the statements of Peixoto's theorem for compact 2-manifolds. However, to obtain the proofs of these results for the noncompact case the authors provide a large measure of original mathematics.



A 1 Subgroups Of Exceptional Algebraic Groups


 A 1 Subgroups Of Exceptional Algebraic Groups
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Author : Ross Lawther
language : en
Publisher: American Mathematical Soc.
Release Date : 1999

A 1 Subgroups Of Exceptional Algebraic Groups written by Ross Lawther 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 1999 with Mathematics categories.


This book is intended for graduate students and research mathematicians interested in group theory and genralizations



Asymptotics For Solutions Of Linear Differential Equations Having Turning Points With Applications


Asymptotics For Solutions Of Linear Differential Equations Having Turning Points With Applications
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Author : Shlomo Strelitz
language : en
Publisher: American Mathematical Soc.
Release Date : 1999

Asymptotics For Solutions Of Linear Differential Equations Having Turning Points With Applications written by Shlomo Strelitz 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 1999 with Mathematics categories.


Asymptotics are built for the solutions $y_j(x, \lambda)$, $y_j DEGREES{(k)}(0, \lambda)=\delta_{j\, n-k}$, $0\le j, k+1\le n$ of the equation $L(y)=\lambda p(x)y, \quad x\in [0,1], $ where $L(y)$ is a linear differential operator of whatever order $n\ge 2$ and $p(x)$ is assumed to possess a finite number of turning points. The established asymptotics are afterwards applied to the study of: 1) the existence of infinite eigenvalue sequences for various multipoint boundary problems posed on $L(y)=\lambda p(x)y, \quad x\in [0,1], $, especially as $n=2$ and $n=3$ (let us be aware that the same method can be successfully applied on many occasions in case $n>3$ too) and 2) asymptotical distribution of the corresponding eigenvalue sequences on the



Norms On Possibilities I Forcing With Trees And Creatures


Norms On Possibilities I Forcing With Trees And Creatures
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Author : Andrzej Rosłanowski
language : en
Publisher: American Mathematical Soc.
Release Date : 1999

Norms On Possibilities I Forcing With Trees And Creatures written by Andrzej Rosłanowski 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 1999 with Gardening categories.


This book is intended for graduate students and research mathematicians interested in mathematical logic and foundations.