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Smooth Invariant Manifolds And Normal Forms

smooth invariant manifold. Its main purpose is to present, as completely as possible, the basic results concerning the existence of stable and;

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Qualitative Theory of Planar Differential Systems

fields enabling, in full strength, a dynamical systems approach. All essential notions, including invariant manifolds, normal forms;

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Averaging Methods in Nonlinear Dynamical Systems

and the theory of normal forms. Also new are survey appendices on invariant manifolds. One of the most striking features of the book is the;

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Differential Operators on Manifolds

Lectures: M.F. Atiyah: Classical groups and classical differential operators on manifolds.- R. Bott: Some aspects of invariant theory;

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The Topology of 4-Manifolds

This book presents the classical theorems about simply connected smooth 4-manifolds: intersection forms and homotopy type, oriented and;

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The Wild World of 4-Manifolds

invariant of a 4-manifold--the intersection form--and its interaction with the topology of the manifold. The third part reviews complex surfaces as;

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Elements of Differential Topology

integration on manifolds, abstract smooth manifolds, and the foundation for homotopical aspects of manifolds. The author then discusses a central;

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Invariant Forms on Grassmann Manifolds. (AM-89), Volume 89

geometry, algebraic geometry, and complex analysis. Wilhelm Stoll treats certain aspects of the complex analysis point of view. This work;

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iSmooth Analysis

distribution theory. i-smooth analysis is the branch of functional analysis that considers the theory and applications of the invariant derivatives;

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Smooth Manifolds

need for mathematical research on smooth manifolds and differential geometry. The book primarily focuses on topics concerning differential;

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Smooth Manifolds

need for mathematical research on smooth manifolds and differential geometry. The book primarily focuses on topics concerning differential;

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Introduction to Global Variational Geometry

The book is devoted to recent research in the global variational theory on smooth manifolds. Its main objective is an extension of the;

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Hyperbolic Manifolds And Holomorphic Mappings

The first edition of this influential book, published in 1970, opened up a completely new field of invariant metrics and hyperbolic;

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Hyperbolic Manifolds And Holomorphic Mappings

The first edition of this influential book, published in 1970, opened up a completely new field of invariant metrics and hyperbolic;

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Attractor Dimension Estimates for Dynamical Systems: Theory and Computation

dimensions) for attractors and invariant sets of dynamical systems and cocycles generated by smooth differential equations or maps in finite;

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Attractor Dimension Estimates for Dynamical Systems: Theory and Computation

dimensions) for attractors and invariant sets of dynamical systems and cocycles generated by smooth differential equations or maps in finite;

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Smooth Manifolds and Observables

This book gives an introduction to fiber spaces and differential operators on smooth manifolds. Over the last 20 years, the authors;

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Dichotomies and Stability in Nonautonomous Linear Systems

systems of differential equations involves some important and challenging problems of perturbation theory for invariant toroidal manifolds. This;

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SemiRiemannian Geometry The Mathematical Language of General Relativity

include both the Lorentz and Euclidean signatures. The remainder of the book is devoted to a discussion of smooth manifolds, smooth manifolds with;

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CR Embedded Submanifolds of CR Manifolds

Riemannian submanifold theory. They define a normal tractor bundle in the ambient standard tractor bundle along the submanifold and show that the;

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Continuous And Discontinuous Piecewise-smooth One-dimensional Maps

repelling invariant sets of continuous and discontinuous one-dimensional piecewise-smooth maps. We describe the bifurcations occurring in these maps;

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The Seiberg-Witten Equations and Applications to the Topology of Smooth Four-Manifolds. (MN-44), Volume 44

The recent introduction of the Seiberg-Witten invariants of smooth four-manifolds has revolutionized the study of those manifolds. The;

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Introduction To Differential Manifolds, An

in differential topology. Among the topics covered are smooth manifolds and maps, the structure of the tangent bundle and its associates, the calculation;

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Introduction to Smooth Manifolds

Author has written several excellent Springer books.; This book is a sequel to Introduction to Topological Manifolds; Careful and;

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Dynamical Systems and Geometric Mechanics

part discusses the linearization and stability of trajectories and fixed points, invariant manifold theory, periodic orbits, Poincare maps;

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