Name: Normal Forms and Stability of Hamiltonian Systems (en Inglés)
Price: 128690.00 CLP
Availability: InStock
Author: Cabral, Hildeberto E. ; Brandão Dias, Lúcia
ISBN: 9783031330452

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

Formato

Libro Físico

Autor

Hildeberto E. Cabral

Lúcia Brandão Dias

Editorial

Springer

Idioma

Inglés

N° páginas

337

Encuadernación

Tapa Dura

Dimensiones

23.4 x 15.6 x 2.1 cm

Peso

0.68 kg.

ISBN13

9783031330452

N° edición

Categorías

Cálculo y análisis matemático
Física matemática
Ingeniería mecánica

Normal Forms and Stability of Hamiltonian Systems (en Inglés)

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

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Reseña del libro "Normal Forms and Stability of Hamiltonian Systems (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.