Name: Normal Forms and Stability of Hamiltonian Systems (Applied Mathematical Sciences) (en Inglés)
SKU: 64156162
Price: 61.62 USD
Availability: InStock
Author: Hildeberto E. Cabral; Lúcia Brandão Dias

portada Normal Forms and Stability of Hamiltonian Systems (Applied Mathematical Sciences) (en Inglés)

Normal Forms and Stability of Hamiltonian Systems (Applied Mathematical Sciences) (en Inglés)

Formato

Libro Físico

Editorial

Springer

Autor

Hildeberto E. Cabral; Lúcia Brandão Dias

Idioma

Inglés

N° páginas

337

Encuadernación

Tapa Blanda

ISBN13

9783031330483

N° edición

2023rd

Normal Forms and Stability of Hamiltonian Systems (Applied Mathematical Sciences) (en Inglés)

Hildeberto E. Cabral; Lúcia Brandão Dias (Autor) · Springer · Tapa Blanda

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Reseña del libro "Normal Forms and Stability of Hamiltonian Systems (Applied Mathematical Sciences) (en Inglés)"

This book introduces the reader to the study of Hamiltonian systems, focusing on the stability of autonomous and periodic systems and expanding to topics that are usually not covered by the canonical literature in the field. It emerged from lectures and seminars given at the Federal University of Pernambuco, Brazil, known as one of the leading research centers in the theory of Hamiltonian dynamics. This book starts with a brief review of some results of linear algebra and advanced calculus, followed by the basic theory of Hamiltonian systems. The study of normal forms of Hamiltonian systems is covered by Ch.3, while Chapters 4 and 5 treat the normalization of Hamiltonian matrices. Stability in non-linear and linear systems are topics in Chapters 6 and 7. This work finishes with a study of parametric resonance in Ch. 8. All the background needed is presented, from the Hamiltonian formulation of the laws of motion to the application of the Krein-Gelfand-Lidskii theory of stronglystable systems. With a clear, self-contained exposition, this work is a valuable help to advanced undergraduate and graduate students, and to mathematicians and physicists doing research on this topic.