| 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 |
230831b xxu||||| |||| 00| 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9783031251535 |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Classification number |
003 |
| Item number |
DIL |
| 100 ## - MAIN ENTRY--PERSONAL NAME |
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| Personal name |
Dilao, Rui |
| 245 ## - TITLE STATEMENT |
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| Title |
Dynamical system and chaos : an introduction with applications |
| 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 |
ix, 326 p. ; |
| Other physical details |
ill., |
| Dimensions |
24 cm |
| 365 ## - TRADE PRICE |
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| Unit of pricing |
84.99 |
| Price amount |
EUR |
| Price type code |
94.90 |
| 490 ## - SERIES STATEMENT |
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| Series statement |
UNITEXT for physics |
| 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 textbook introduces the language and the techniques of the theory of dynamical systems of finite dimension for an audience of physicists, engineers, and mathematicians at the beginning of graduation. Author addresses geometric, measure, and computational aspects of the theory of dynamical systems. Some freedom is used in the more formal aspects, using only proofs when there is an algorithmic advantage or because a result is simple and powerful. The first part is an introductory course on dynamical systems theory. It can be taught at the master's level during one semester, not requiring specialized mathematical training. In the second part, the author describes some applications of the theory of dynamical systems. Topics often appear in modern dynamical systems and complexity theories, such as singular perturbation theory, delayed equations, cellular automata, fractal sets, maps of the complex plane, and stochastic iterations of function systems are briefly explored for advanced students. The author also explores applications in mechanics, electromagnetism, celestial mechanics, nonlinear control theory, and macroeconomy. A set of problems consolidating the knowledge of the different subjects, including more elaborated exercises, are provided for all chapters. |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Bifurcation diagram |
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Cellular automation |
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Difference equation |
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| Topical term or geographic name as entry element |
Fixed point |
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| Topical term or geographic name as entry element |
Henon map |
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| Topical term or geographic name as entry element |
Hyperbolic fixed point |
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| Topical term or geographic name as entry element |
Limit cycle |
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| Topical term or geographic name as entry element |
Lorenz equations |
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| Topical term or geographic name as entry element |
Lyapunov exponents |
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| Topical term or geographic name as entry element |
Phase space |
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| Topical term or geographic name as entry element |
Poincare map |
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| Topical term or geographic name as entry element |
Three- body problem |
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| Topical term or geographic name as entry element |
Unstable manifolds |
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| Topical term or geographic name as entry element |
Fractal sets |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
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| Source of classification or shelving scheme |
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| Item type |
Books |