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Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - An index for the global continuation of relatively isolated sets of periodic orbits.- Unremovable closed orbits.- On local entropy.- Infinitely many'moduli of strong stability in divergence free unfoldings of singularities of vector fields.- An extension of Peixoto's structural stability theorem to open surfaces with finite genus.- Some remarks about homoclinic points of second order differential equations.- On the local classification of holomorphic vector fields.- On surfaces of constant mean curvature in a three-dimensional space of constant curvature.- A periodic orbit index which is a bifurcation invariant.- An index theory for periodic solutions of a Hamiltonian system.- Foliations that are not approximable by smoother ones.- A proof of Pesin's stable manifold theorem.- Proprietes de genericite des transformations canoniques.- Periodic points and twisted coefficients.- Statistical properties of foliations.- Dehn surgery on Anosov flows.- Smoothability of cherry flows on two-manifolds.- An approximation theorem for immersions with stable configurations of lines of principal curvature.- Currents on a circle invariant by a fuchsian group.- Infinite dimensional dynamical systems.- Flows on S3 and R3 without periodic orbits.- Generalizations of some theorems of small divisors to non archimedean fields.- The topology of linear m-flows on n.- Lyapunov functions and stability of geodesic flows.- Finite determinacy of germs of integrable 1-forms in dimension 3 (a special case).- An example of polynomial interpolation of an hyperbolic attractor.- Algebraic problems arising from Morse-Smale dynamical systems.- Lyapounov exponents and stable manifolds for compact transformations.- Hyperbolic dynamical systems with isolated points.- On moduli of stability of vector fields on open manifolds.- Dynamics of certain skew products.- A note on the inclination Lemma ( -Lemma) and Feigenbaum's rate of approach.- A special Cr Closing Lemma.- Capture in resonance: Opening a homoclinic orbit through slowly varying coefficients.- Small random perturbations and the definition of attractors.- On the existence of invariant curves of twist mappings of an annulus.- On the average cost of solving polynomial equations.- Conformal dynamical systems.- Quadratic vector fields with finitely many periodic orbits.- Absolutely continuous invariant measures for rational mappings of the sphere S2.- The role of qualitative dynamics in applied sciences.- Rate of approach to minima and sinks the C2 Axiom a no cycle case.- C1-conjugaison des diff¿orphismes du cercle.

Taschenbuch. Zustand: Neu. Neuware -An index for the global continuation of relatively isolated sets of periodic orbits.- Unremovable closed orbits.- On local entropy.- Infinitely many'moduli of strong stability in divergence free unfoldings of singularities of vector fields.- An extension of Peixoto's structural stability theorem to open surfaces with finite genus.- Some remarks about homoclinic points of second order differential equations.- On the local classification of holomorphic vector fields.- On surfaces of constant mean curvature in a three-dimensional space of constant curvature.- A periodic orbit index which is a bifurcation invariant.- An index theory for periodic solutions of a Hamiltonian system.- Foliations that are not approximable by smoother ones.- A proof of Pesin's stable manifold theorem.- Proprietes de genericite des transformations canoniques.- Periodic points and twisted coefficients.- Statistical properties of foliations.- Dehn surgery on Anosov flows.- Smoothability of cherry flows on two-manifolds.- An approximation theorem for immersions with stable configurations of lines of principal curvature.- Currents on a circle invariant by a fuchsian group.- Infinite dimensional dynamical systems.- Flows on S3 and R3 without periodic orbits.- Generalizations of some theorems of small divisors to non archimedean fields.- The topology of linear m-flows on n.- Lyapunov functions and stability of geodesic flows.- Finite determinacy of germs of integrable 1-forms in dimension 3 (a special case).- An example of polynomial interpolation of an hyperbolic attractor.- Algebraic problems arising from Morse-Smale dynamical systems.- Lyapounov exponents and stable manifolds for compact transformations.- Hyperbolic dynamical systems with isolated points.- On moduli of stability of vector fields on open manifolds.- Dynamics of certain skew products.- A note on the inclination Lemma ( -Lemma) and Feigenbaum's rate of approach.- A special Cr Closing Lemma.- Capture in resonance: Opening a homoclinic orbit through slowly varying coefficients.- Small random perturbations and the definition of attractors.- On the existence of invariant curves of twist mappings of an annulus.- On the average cost of solving polynomial equations.- Conformal dynamical systems.- Quadratic vector fields with finitely many periodic orbits.- Absolutely continuous invariant measures for rational mappings of the sphere S2.- The role of qualitative dynamics in applied sciences.- Rate of approach to minima and sinks the C2 Axiom a no cycle case.- C1-conjugaison des diff¿orphismes du cercle.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 840 pp. Englisch.

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Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - . cette etude qualitative (des equations difj'erentielles) aura par elle-m~me un inter~t du premier ordre . HENRI POINCARE, 1881. We present in this book a view of the Geometric Theory of Dynamical Systems, which is introductory and yet gives the reader an understanding of some of the basic ideas involved in two important topics: structural stability and genericity. This theory has been considered by many mathematicians starting with Poincare, Liapunov and Birkhoff. In recent years some of its general aims were established and it experienced considerable development. More than two decades passed between two important events: the work of Andronov and Pontryagin (1937) introducing the basic concept of structural stability and the articles of Peixoto (1958-1962) proving the density of stable vector fields on surfaces. It was then that Smale enriched the theory substantially by defining as a main objective the search for generic and stable properties and by obtaining results and proposing problems of great relevance in this context. In this same period Hartman and Grobman showed that local stability is a generic property. Soon after this Kupka and Smale successfully attacked the problem for periodic orbits. We intend to give the reader the flavour of this theory by means of many examples and by the systematic proof of the Hartman-Grobman and the Stable Manifold Theorems (Chapter 2), the Kupka-Smale Theorem (Chapter 3) and Peixoto's Theorem (Chapter 4). Several ofthe proofs we give vii Introduction Vlll are simpler than the original ones and are open to important generalizations.

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Taschenbuch. Zustand: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -An index for the global continuation of relatively isolated sets of periodic orbits.- Unremovable closed orbits.- On local entropy.- Infinitely many'moduli of strong stability in divergence free unfoldings of singularities of vector fields.- An extension of Peixoto's structural stability theorem to open surfaces with finite genus.- Some remarks about homoclinic points of second order differential equations.- On the local classification of holomorphic vector fields.- On surfaces of constant mean curvature in a three-dimensional space of constant curvature.- A periodic orbit index which is a bifurcation invariant.- An index theory for periodic solutions of a Hamiltonian system.- Foliations that are not approximable by smoother ones.- A proof of Pesin's stable manifold theorem.- Proprietes de genericite des transformations canoniques.- Periodic points and twisted coefficients.- Statistical properties of foliations.- Dehn surgery on Anosov flows.- Smoothability of cherry flows on two-manifolds.- An approximation theorem for immersions with stable configurations of lines of principal curvature.- Currents on a circle invariant by a fuchsian group.- Infinite dimensional dynamical systems.- Flows on S3 and R3 without periodic orbits.- Generalizations of some theorems of small divisors to non archimedean fields.- The topology of linear m-flows on n.- Lyapunov functions and stability of geodesic flows.- Finite determinacy of germs of integrable 1-forms in dimension 3 (a special case).- An example of polynomial interpolation of an hyperbolic attractor.- Algebraic problems arising from Morse-Smale dynamical systems.- Lyapounov exponents and stable manifolds for compact transformations.- Hyperbolic dynamical systems with isolated points.- On moduli of stability of vector fields on open manifolds.- Dynamics of certain skew products.- A note on the inclination Lemma ( -Lemma) and Feigenbaum's rate of approach.- A special Cr Closing Lemma.- Capture in resonance: Opening a homoclinic orbit through slowly varying coefficients.- Small random perturbations and the definition of attractors.- On the existence of invariant curves of twist mappings of an annulus.- On the average cost of solving polynomial equations.- Conformal dynamical systems.- Quadratic vector fields with finitely many periodic orbits.- Absolutely continuous invariant measures for rational mappings of the sphere S2.- The role of qualitative dynamics in applied sciences.- Rate of approach to minima and sinks the C2 Axiom a no cycle case.- C1-conjugaison des diff¿orphismes du cercle. 840 pp. Englisch, Französisch.

Taschenbuch. Zustand: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -. cette etude qualitative (des equations difj'erentielles) aura par elle-m~me un inter~t du premier ordre . HENRI POINCARE, 1881. We present in this book a view of the Geometric Theory of Dynamical Systems, which is introductory and yet gives the reader an understanding of some of the basic ideas involved in two important topics: structural stability and genericity. This theory has been considered by many mathematicians starting with Poincare, Liapunov and Birkhoff. In recent years some of its general aims were established and it experienced considerable development. More than two decades passed between two important events: the work of Andronov and Pontryagin (1937) introducing the basic concept of structural stability and the articles of Peixoto (1958-1962) proving the density of stable vector fields on surfaces. It was then that Smale enriched the theory substantially by defining as a main objective the search for generic and stable properties and by obtaining results and proposing problems of great relevance in this context. In this same period Hartman and Grobman showed that local stability is a generic property. Soon after this Kupka and Smale successfully attacked the problem for periodic orbits. We intend to give the reader the flavour of this theory by means of many examples and by the systematic proof of the Hartman-Grobman and the Stable Manifold Theorems (Chapter 2), the Kupka-Smale Theorem (Chapter 3) and Peixoto's Theorem (Chapter 4). Several ofthe proofs we give vii Introduction Vlll are simpler than the original ones and are open to important generalizations. 216 pp. Englisch.

Taschenbuch. Zustand: Neu. This item is printed on demand - Print on Demand Titel. Neuware -. cette etude qualitative (des equations difj'erentielles) aura par elle-m~me un inter~t du premier ordre . HENRI POINCARE, 1881. We present in this book a view of the Geometric Theory of Dynamical Systems, which is introductory and yet gives the reader an understanding of some of the basic ideas involved in two important topics: structural stability and genericity. This theory has been considered by many mathematicians starting with Poincare, Liapunov and Birkhoff. In recent years some of its general aims were established and it experienced considerable development. More than two decades passed between two important events: the work of Andronov and Pontryagin (1937) introducing the basic concept of structural stability and the articles of Peixoto (1958-1962) proving the density of stable vector fields on surfaces. It was then that Smale enriched the theory substantially by defining as a main objective the search for generic and stable properties and by obtaining results and proposing problems of great relevance in this context. In this same period Hartman and Grobman showed that local stability is a generic property. Soon after this Kupka and Smale successfully attacked the problem for periodic orbits. We intend to give the reader the flavour of this theory by means of many examples and by the systematic proof of the Hartman-Grobman and the Stable Manifold Theorems (Chapter 2), the Kupka-Smale Theorem (Chapter 3) and Peixoto's Theorem (Chapter 4). Several ofthe proofs we give vii Introduction Vlll are simpler than the original ones and are open to important generalizations.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 216 pp. Englisch.