| 书目名称 | Normal Forms and Stability of Hamiltonian Systems |
| 编辑 | Hildeberto E. Cabral,Lúcia Brandão Dias |
| 视频video | |
| 概述 | Offers an introduction to the basic theory of Hamiltonian systems.Of use to graduate students and researchers in mathematics and physics.Written by well-known experts in the field |
| 丛书名称 | Applied Mathematical Sciences |
| 图书封面 |  |
| 描述 | .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.. |
| 出版日期 | Textbook 2023 |
| 关键词 | dynamical systems; Hamiltonian systems; Birkhoff normal form; Hamiltonian matrices; equilibria of nonlin |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-031-33046-9 |
| isbn_softcover | 978-3-031-33048-3 |
| isbn_ebook | 978-3-031-33046-9Series ISSN 0066-5452 Series E-ISSN 2196-968X |
| issn_series | 0066-5452 |
| copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |
发表于 2025-3-21 17:18:23
