A reprint of this work, first published in 1980. The material covered continues to provide a basis for research in the mathematics of dynamical systems. It addresses: equivalent systems; integration of vector fields; linear systems, linearization and stable manifolds; stable systems; and more.
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First Sentence:
In the late nineteenth century, Henri Poincare created a new branch of mathematics by publishing his famous memoir (Poincare [1]) on the qualitative theory of ordinary differential equations. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
unstable summands, hyperbolic linear vector fields, hyperbolic linear automorphisms, topological conjugacy classes, local stable set, flow equivalence, linear conjugacy, stable manifold theorem, admissible chart, unique closed orbit, topological equivalence classes, hyperbolic fixed point, local stable manifold, local integral, irrational flow, integral flow, toral automorphisms, structurally stable systems, hyperbolic structure, spectral decomposition theorem, rotation flows, partial flow, metric contraction, flow equivalent, zero vector field New!
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Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
In the late nineteenth century, Henri Poincare created a new branch of mathematics by publishing his famous memoir (Poincare [1]) on the qualitative theory of ordinary differential equations. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
unstable summands, hyperbolic linear vector fields, hyperbolic linear automorphisms, topological conjugacy classes, local stable set, flow equivalence, linear conjugacy, stable manifold theorem, admissible chart, unique closed orbit, topological equivalence classes, hyperbolic fixed point, local stable manifold, local integral, irrational flow, integral flow, toral automorphisms, structurally stable systems, hyperbolic structure, spectral decomposition theorem, rotation flows, partial flow, metric contraction, flow equivalent, zero vector field New!
Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
This book cites 32
books:
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41
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- Dynamical Systems: Valparaiso 1986 : Proceedings of a Symposium Held in Valparaiso (Lecture Notes in Mathematics) by R. Bamon in Front Matter, Back Matter (1), and Back Matter (2)
- Differential Equations (2nd Edition) by John Polking in Back Matter
- Morse Theory (Annals of Mathematic Studies AM-51) by John Milnor in Back Matter
- Theory of Ordinary Differential Equations by Earl A. Coddington in Back Matter
- Ordinary Differential Equations (Universitext) by Vladimir I. Arnold in Back Matter
See all 32 books this book cites
- Ordinary Differential Equations: An Introduction to Nonlinear Analysis (Degruyter Studies in Mathematics) by Herbert Amann in Back Matter
- Gewohnliche Differentialgleichungen by Herbert Amann in Back Matter
- Real Reductive Groups I, Vol. 132 (Pure and Applied Mathematics) by Nolan R. Wallach in Index
- High Performance Control (Systems & Control: Foundations & Applications) by Teng-Tiow Tay in Back Matter
- Nonlinear Dynamics and Chaos by J. M. T. Thompson in Back Matter
See all 41 books citing this book
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