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Hardcover. Condizione: Very Good. Hbk, XV, 525 p. Previous owner's name on ffep, spine slightly faded o/w a clean unmarked copy in very good condition. Contents : 1 Introduction and Examples -- 1.1. Definition of Bifurcation Surface -- 1.2. Examples with One Parameter -- 1.3. The Euler-Bernoulli Rod -- 1.4. The Hopf Bifurcation -- 1.5. Some Generic Examples -- 1.6. Dynamic Bifurcation -- 2 Elements of Nonlinear Analysis -- 2.1. Calculus -- 2.2. Local Implicit Function Theorem -- 2.3. Global Implicit Function Theorem -- 2.4. Alternative Methods -- 2.5. Embedding Theorems -- 2.6. Weierstrass Preparation Theorem -- 2.7. The Malgrange Preparation Theorem -- 2.8. Newton Polygon -- 2.9. Manifolds and Transversality -- 2.10. Sardâs Theorem -- 2.11. Topological Degree, Index of a Vector Field and Fixed Point Index -- 2.12. Ljusternik-Schnirelman Theory in ?n -- 2.13. Bibliographical Notes -- 3 Applications of the Implicit Function Theorem -- 3.1. Existence of Solutions of Ordinary Differential Equations -- 3.2. Admissible Classes in Ordinary Differential Equations -- 3.3. Global Boundary Value Problems for Ordinary Differential Equations -- 3.4. Hopf Bifurcation Theorem -- 3.5. Liapunov Center Theorem -- 3.6. Saddle Point Property -- 3.7. The Hartman-Grobman Theorem -- 3.8. An Elliptic Problem -- 3.9. A Hyperbolic Problem -- 3.10. Bibliographical Notes -- 4 Variational Method -- 4.1. Introduction -- 4.2. Weak Lower Semicontinuity -- 4.3. Monotone Operators -- 4.4. Condition (C) -- 4.5. Minimax Principle in Banach Spaces -- 4.6. Mountain Pass Theorem -- 4.7. Periodic Solutions of a Semilinear Wave Equation -- 4.8. Ljusternik-Schnirelman Theory on Banach Manifolds -- 4.9. Stationary Waves -- 4.10. The Krasnoselski Theorems -- 4.11. Variational Property of Bifurcation Equation -- 4.12. Liapunov Center Theorem at Resonance -- 4.13. Bibliographical Notes -- 5 The Linear Approximation and Bifurcation -- 5.1. Introduction -- 5.2. Eigenvalues of B -- 5.3. Eigenvalues of (B, A) -- 5.4. Eigenvalues of (B, A1, . , AN) -- 5.5. Bifurcation from a Simple Eigenvalue -- 5.6. Applications of Simple Eigenvalues -- 5.7. Bifurcation Based on the Linear Equation -- 5.8. Global Bifurcation -- 5.9. An Application.to a Delay Differential Equation -- 5.10. Bibliographical Notes -- 6 Bifurcation with One Dimensional Null Space -- 6.1. Introduction -- 6.2. Quadratic Nonlinearities -- 6.3. Applications -- 6.4. Cubic Nonlinearities -- 6.5. Applications -- 6.6. Bifurcation from Known Solutions -- 6.7. Effects of Symmetry -- 6.8. Universal Unfoldings -- 6.9. Bibliographical Notes -- 7 Bifurcation with Higher Dimensional Null Spaces -- 7.1. Introduction -- 7.2. The Quadratic Revisited -- 7.3. Quadratic Nonlinearities I -- 7.4. Quadratic Nonlinearities II -- 7.5. Cubic Nonlinearities I -- 7.6. Cubic Nonlinearities II -- 7.7. Cubic Nonlinearities III -- 7.8. Bibliographical Notes -- 8 Some Applications -- 8.1. Introduction -- 8.2. The von Kármán Equations -- 8.3. The Linearized Problem -- 8.4. Noncritical Length -- 8.5. Critical Length -- 8.6. An Example in Chemical Reactions -- 8.7. The Duffing Equation with Harmonic Forcing -- 8.8. Bibliographical Notes -- 9 Bifurcation near Equilibrium -- 9.1. Introduction -- 9.2. Center Manifolds -- 9.3. Autonomous Case -- 9.4. Periodic Case -- 9.5. Bifurcation from a Focus -- 9.6. Bibliographical Notes -- 10 Bifurcation of Autonomous Planar Equations -- 10.1. Introduction -- 10.2. Periodic Orbit -- 10.3. Homoclinic Orbit -- 10.4. Closed Curve with a Saddle-Node -- 10.5. Remarks on Structural Stability and Bifurcation -- 10.6. Remarks on Infinite Dimensional Systems and Turbulence -- 10.7. Bibliographical Notes -- 11 Bifurcation of Periodic Planar Equations -- 11.1. Introduction -- 11.2. Periodic Orbit-Subharmonics -- 11.3. Homoclinic Orbit -- 11.4. Subharmonics and Homoclinic Points -- 11.5. Abstract Bifurcation near a Closed Curve -- 11.6. Bibliographica. w15 / 16520.

Hardcover. Condizione: Sehr gut. N.Y., Springer (1982). gr.8°. 97 figs. XV, 515 p. Hardbound. (back slightly faded).- Grundlehren der Mathematischen Wissenschaften, 251.

Hardcover. Condizione: Good. 1st Edition. 97 Ill. (Grundlehren der mathematischen Wissenschaften ; 251).

Condizione: New.

Hardcover. IX, 514 S. Ex-library with stamp and library-signature. GOOD condition, some traces of use. C-02618 3540183744 Sprache: Englisch Gewicht in Gramm: 1150.

Condizione: As New. Unread book in perfect condition.

Condizione: New.

Condizione: As New. Unread book in perfect condition.

Condizione: New. pp. 528.

Condizione: New. In.

hardcover. Condizione: Good. exlibrary hardcover book no dust jacket, usual library marks, has some light reader wear;

Condizione: Gut. Zustand: Gut | Seiten: 522 | Sprache: Englisch | Produktart: Bücher | Keine Beschreibung verfügbar.

Taschenbuch. Condizione: Neu. Druck auf Anfrage Neuware - Printed after ordering - The 1986 NATO Advanced Study Insti tute on Dynamics of Infini te Dimensional Systems was held at the Instituto Superior Tecnico. Lisbon. Portugal. In recent years. there have been several research workers who have been considering partial differential equations and functional differential equations as dynamical systems on function spaces. Such approaches have led to the formulation of more theoretical problems that need to be investigated. In the applications. the theoretical ideas have contributed significantly to a better understanding of phenomena that have been experimentally and computationally observed. The investigators of this development come wi th several different backgrounds - some from classical partial differential equations. some from classical ordinary differential equations and some interested in specific applications. Each group has special ideas and often these ideas have not been transmitted from one group to another. The purpose of this NATO Workshop was to bring together research workers from these various areas. It provided asoundboard for the impact of the ideas of each respective discipline. We believe that goal was accomplished. but time will be a better judge. We have included the list of participants at the workshop. with most of these giving a presentation. Although the proceedings do not include all of the presentations. it is a good representative sampie. We wish to express our gratitude to NATO. and.to Dr. M. di Lullo of NATO. who unfortunately did not live to see the completion of this project.

Springer-Verlag, Berlin, Heidelberg, New York 1996. XV+525 pages. Orig. boards. Spine faded. With a few pages with pencil notes. Very good-.

Paperback. Condizione: Like New. Like New. book.

hardcover. Condizione: Good. Good. Dust Jacket NOT present. CD WILL BE MISSING. . SHIPS FROM MULTIPLE LOCATIONS. book.

Condizione: new. Questo è un articolo print on demand.

Taschenbuch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -The 1986 NATO Advanced Study Insti tute on Dynamics of Infini te Dimensional Systems was held at the Instituto Superior Tecnico. Lisbon. Portugal. In recent years. there have been several research workers who have been considering partial differential equations and functional differential equations as dynamical systems on function spaces. Such approaches have led to the formulation of more theoretical problems that need to be investigated. In the applications. the theoretical ideas have contributed significantly to a better understanding of phenomena that have been experimentally and computationally observed. The investigators of this development come wi th several different backgrounds - some from classical partial differential equations. some from classical ordinary differential equations and some interested in specific applications. Each group has special ideas and often these ideas have not been transmitted from one group to another. The purpose of this NATO Workshop was to bring together research workers from these various areas. It provided asoundboard for the impact of the ideas of each respective discipline. We believe that goal was accomplished. but time will be a better judge. We have included the list of participants at the workshop. with most of these giving a presentation. Although the proceedings do not include all of the presentations. it is a good representative sampie. We wish to express our gratitude to NATO. and.to Dr. M. di Lullo of NATO. who unfortunately did not live to see the completion of this project. 528 pp. Englisch.

Condizione: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Proceedings of the NATO Avanced Study Institute on Dynamics of Infinite Dimensional Systems, held in Lisbon, Portugal, May 19-24, 1986The 1986 NATO Advanced Study Insti tute on Dynamics of Infini te Dimensional Systems was held at the Instituto Superior.

Condizione: New. PRINT ON DEMAND pp. 528.

Condizione: New. Print on Demand pp. 528 67:B&W 6.69 x 9.61 in or 244 x 170 mm (Pinched Crown) Perfect Bound on White w/Gloss Lam.

Taschenbuch. Condizione: Neu. This item is printed on demand - Print on Demand Titel. Neuware -The 1986 NATO Advanced Study Insti tute on Dynamics of Infini te Dimensional Systems was held at the Instituto Superior Tecnico. Lisbon. Portugal. In recent years. there have been several research workers who have been considering partial differential equations and functional differential equations as dynamical systems on function spaces. Such approaches have led to the formulation of more theoretical problems that need to be investigated. In the applications. the theoretical ideas have contributed significantly to a better understanding of phenomena that have been experimentally and computationally observed. The investigators of this development come wi th several different backgrounds - some from classical partial differential equations. some from classical ordinary differential equations and some interested in specific applications. Each group has special ideas and often these ideas have not been transmitted from one group to another. The purpose of this NATO Workshop was to bring together research workers from these various areas. It provided asoundboard for the impact of the ideas of each respective discipline. We believe that goal was accomplished. but time will be a better judge. We have included the list of participants at the workshop. with most of these giving a presentation. Although the proceedings do not include all of the presentations. it is a good representative sampie. We wish to express our gratitude to NATO. and.to Dr. M. di Lullo of NATO. who unfortunately did not live to see the completion of this project.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 528 pp. Englisch.