Dynamics Reported: Dynamics Reported. New Series, cartea 1
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Specificații
ISBN-13: 9783642647581
ISBN-10: 3642647588
Pagini: 264
Ilustrații: IX, 250 p.
Dimensiuni: 155 x 235 x 15 mm
Greutate: 0.41 kg
Ediția:Softcover reprint of the original 1st ed. 1992
Editura: Springer
Colecția Dynamics Reported. New Series
Seria Dynamics Reported. New Series
Locul publicării:Berlin, Heidelberg, Germany
ISBN-10: 3642647588
Pagini: 264
Ilustrații: IX, 250 p.
Dimensiuni: 155 x 235 x 15 mm
Greutate: 0.41 kg
Ediția:Softcover reprint of the original 1st ed. 1992
Editura: Springer
Colecția Dynamics Reported. New Series
Seria Dynamics Reported. New Series
Locul publicării:Berlin, Heidelberg, Germany
Public țintă
ResearchCuprins
Bifurcational Aspects of Parametric Resonance.- 1. Setting of the Problem.- 2. A Normal Form Theory.- 3. Computation of a Third-Order Normal Form.- 4. The Planar Hamilton Form.- 5. Dynamical Conclusions.- A Survey of Normalization Techniques Applied to Perturbed Keplerian Systems.- 1. Introduction.- 2. Perturbed Keplerian Systems.- 3. Normal Form: Theory.- 4. Normal Form: Practice.- 5. Reduction to One Degree of Freedom.- 6. Analysis of Normalized Hamiltonian.- 7. Appendix 1.- 8. Appendix 2.- References.- On Littlewood’s Counterexample of Unbounded Motions in Superquadratic Potentials.- 1. Introduction.- 2. Results.- 3. Proof of the Theorem.- References.- Center Manifold Theory in Infinite Dimensions.- 1. Introduction.- 2. General Theory.- 3. Spectral Theory.- 4. Examples.- 5. Application to Hydrodynamic Stability Problems.- References.- Oscillations in Singularly Perturbed Delay Equations.- 1. Difference Equations.- 2. Singular Perturbations of Difference Equations with Continuous Argument: Simplest Properties.- 3. Continuous Dependence on a Paramete.- 4. Impact of Singular Perturbations: Examples.- 5. Attractors of Interval Maps and Asymptotic Behavior of Solutions.- 6. Existence of Periodic Solutions.- 7. Concluding Remarks and Open Questions.- References.- Topological Approach to Differential Inclusions on Closed Subsets of ?n.- 1. Multivalued Mappings.- 2. Topological Degree of Admissible Mappings in ?n.- 3. Aronszajn’s Result.- 4. Selectionable and ?-Selectionable Multivalued Maps.- 5. Differential Inclusions in ?n.- 6. Periodic Solutions of Differential Inclusions in ?n.- 7. Sets with Property p.- 8. Contingent Cone Valued Maps.- 9. Differential Inclusions on Sets with Property p.- 10. Proof of Lemma (7.3).- References.
Textul de pe ultima copertă
This book contains four excellent contributions on topics in dynamical systems by authors with an international reputation: "Hyperbolic and Exponential Dichotomy for Dynamical Systems", "Feedback Stabilizability of Time-periodic Parabolic Equations", "Homoclinic Bifurcations with Weakly Expanding Center Manifolds" and "Homoclinic Orbits in a Four-Dimensional Model of a Perturbed NLS Equation: A Geometric Singular Perturbation Study". All the authors give a careful and readable presentation of recent research results, addressed not only to specialists but also to a broader range of readers including graduate students.