Ebook: Dynamics Reported: Expositions in Dynamical Systems

Dynamics Reported is a series of books dedicated to the exposition of the mathematics of dynamcial systems. Its aim is to make the recent research accessible to advanced students and younger researchers. The series is also a medium for mathematicians to use to keep up-to-date with the work being done in neighboring fields. The style is best described as expository, but complete. Thus, there is an emphasis on examples and explanations, but also theorems normally occur with their proofs. The focus is on the analytic approach to dynamical systems, emphasizing the origins of the subject in the theory of differential equations. Dynamics Reported provides an excellent foundation for seminars on dynamical systems.

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Dynamics Reported is a series of books dedicated to the exposition of the mathematics of dynamcial systems. Its aim is to make the recent research accessible to advanced students and younger researchers. The series is also a medium for mathematicians to use to keep up-to-date with the work being done in neighboring fields. The style is best described as expository, but complete. Thus, there is an emphasis on examples and explanations, but also theorems normally occur with their proofs. The focus is on the analytic approach to dynamical systems, emphasizing the origins of the subject in the theory of differential equations. Dynamics Reported provides an excellent foundation for seminars on dynamical systems.

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Dynamics Reported is a series of books dedicated to the exposition of the mathematics of dynamcial systems. Its aim is to make the recent research accessible to advanced students and younger researchers. The series is also a medium for mathematicians to use to keep up-to-date with the work being done in neighboring fields. The style is best described as expository, but complete. Thus, there is an emphasis on examples and explanations, but also theorems normally occur with their proofs. The focus is on the analytic approach to dynamical systems, emphasizing the origins of the subject in the theory of differential equations. Dynamics Reported provides an excellent foundation for seminars on dynamical systems.
Content:
Front Matter....Pages I-IX
Bifurcational Aspects of Parametric Resonance....Pages 1-53
A Survey of Normalization Techniques Applied to Perturbed Keplerian Systems....Pages 54-112
On Littlewood’s Counterexample of Unbounded Motions in Superquadratic Potentials....Pages 113-124
Center Manifold Theory in Infinite Dimensions....Pages 125-163
Oscillations in Singularly Perturbed Delay Equations....Pages 164-224
Topological Approach to Differential Inclusions on Closed Subset of ?n ....Pages 225-250

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Dynamics Reported is a series of books dedicated to the exposition of the mathematics of dynamcial systems. Its aim is to make the recent research accessible to advanced students and younger researchers. The series is also a medium for mathematicians to use to keep up-to-date with the work being done in neighboring fields. The style is best described as expository, but complete. Thus, there is an emphasis on examples and explanations, but also theorems normally occur with their proofs. The focus is on the analytic approach to dynamical systems, emphasizing the origins of the subject in the theory of differential equations. Dynamics Reported provides an excellent foundation for seminars on dynamical systems.
Content:
Front Matter....Pages I-IX
Bifurcational Aspects of Parametric Resonance....Pages 1-53
A Survey of Normalization Techniques Applied to Perturbed Keplerian Systems....Pages 54-112
On Littlewood’s Counterexample of Unbounded Motions in Superquadratic Potentials....Pages 113-124
Center Manifold Theory in Infinite Dimensions....Pages 125-163
Oscillations in Singularly Perturbed Delay Equations....Pages 164-224
Topological Approach to Differential Inclusions on Closed Subset of ?n ....Pages 225-250
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