| 000 -LEADER |
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| fixed length control field |
nam a22 4500 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
240320b xxu||||| |||| 00| 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9783031330452 |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Classification number |
512.944 |
| Item number |
CAB |
| 100 ## - MAIN ENTRY--PERSONAL NAME |
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| Personal name |
Cabral, Hildeberto |
| 245 ## - TITLE STATEMENT |
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| Title |
Normal forms and stability of Hamiltonian systems |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
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| Name of publisher, distributor, etc |
Springer, |
| Date of publication, distribution, etc |
2023 |
| Place of publication, distribution, etc |
Cham : |
| 300 ## - PHYSICAL DESCRIPTION |
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| Extent |
xxi, 337 p. ; |
| Other physical details |
ill., |
| Dimensions |
24 cm |
| 365 ## - TRADE PRICE |
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| Price amount |
74.99 |
| Price type code |
€ |
| Unit of pricing |
93.50 |
| 490 ## - SERIES STATEMENT |
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| Series statement |
Applied mathematical sciences |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE |
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| Bibliography, etc |
Includes bibliographical references and index. |
| 520 ## - SUMMARY, ETC. |
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| Summary, etc |
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 strongly stable 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. |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Hamiltonian systems |
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| Topical term or geographic name as entry element |
Dynamical systems |
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| Topical term or geographic name as entry element |
Birkhoff normal form |
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| Topical term or geographic name as entry element |
Arnold theorem |
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| Topical term or geographic name as entry element |
Krein-Gelfand-Lidskii theorem |
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| Topical term or geographic name as entry element |
Deprit-Hori method |
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| Topical term or geographic name as entry element |
Homogeneous polynomia |
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| Topical term or geographic name as entry element |
Lagrangian subspace |
| 700 ## - ADDED ENTRY--PERSONAL NAME |
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| Personal name |
Brandao Dias, Lucia |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
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| Source of classification or shelving scheme |
|
| Item type |
Books |