9780387906645 - Methods of Bifurcation Theory (Grundlehren der mathematischen Wissenschaften, 251, Band 251) von Chow, S.-N.; Hale, J. K. (6 Ergebnisse)

Hardcover. Zustand: 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.

Cloth. Zustand: Very Good. Type: Book Small plain label inside cover.

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

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

Zustand: Good. This is an ex-library book and may have the usual library/used-book markings inside.This book has hardback covers. In good all round condition. No dust jacket. Please note the Image in this listing is a stock photo and may not match the covers of the actual item,1100grams, ISBN:0387906649.

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