Symbolic Analysis of Dynamical Systems
This book is devoted to the study of the global properties of the dynamical systems. It gives a justification of using numerical methods for solving several problems such as localization of a chain-recurrent set of trajectories, construction of attractors and their domains of attraction, constructio...
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| Corporate Author: | |
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Singapore :
Springer Nature Singapore : Imprint: Springer,
2025.
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| Edition: | 1st ed. 2025. |
| Series: | Mathematical Marvels: Texts and Monographs in the Spirit of CR Rao,
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| Subjects: | |
| Online Access: | https://doi.org/10.1007/978-981-95-0713-9 |
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| 100 | 1 | |a Osipenko, George. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Symbolic Analysis of Dynamical Systems |h [electronic resource] / |c by George Osipenko. |
| 250 | |a 1st ed. 2025. | ||
| 264 | 1 | |a Singapore : |b Springer Nature Singapore : |b Imprint: Springer, |c 2025. | |
| 300 | |a 1 online resource (XI, 226 p. 38 illus.). |b 13 illus. in color. | ||
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| 341 | 0 | |b Short alternative textual descriptions |2 onix | |
| 341 | 0 | |b Use of colour is Not sole means of conveying information |2 onix | |
| 341 | 0 | |b Use of high contrast between text and background colour |2 onix | |
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| 490 | 1 | |a Mathematical Marvels: Texts and Monographs in the Spirit of CR Rao, |x 3005-1975 | |
| 505 | 0 | |a Introduction -- Symbolic Image of Dynamic System -- Shadowing of Trajectories -- Attractors and Filtrations -- Invariant measures -- Ergodic Measures -- Entropy -- Averaging -- Lyapunov Exponent -- Numerical Exploration -- Appendix. | |
| 520 | |a This book is devoted to the study of the global properties of the dynamical systems. It gives a justification of using numerical methods for solving several problems such as localization of a chain-recurrent set of trajectories, construction of attractors and their domains of attraction, construction of filtrations, calculation of invariant measures, approximation of ergodic measures, estimation of the entropy of a dynamical system, calculation of the averaging spectrum of a function, calculation of the Morse spectrum, a test for the hyperbolicity of a dynamical system. The book is intended for researchers in dynamical systems and their applications in many scientific and technical disciplines, including engineering, physics, chemistry, biology, economics, and demography. | ||
| 532 | 8 | |a Accessibility summary: This PDF has been created in accordance with the PDF/UA-1 standard to enhance accessibility. It includes screen reader support, descriptions for Non-text content (such as images and graphs), bookmarks for easy navigation, keyboard-friendly links and forms, and searchable, selectable text. We recognise the importance of accessibility and welcome queries about accessibility for any of our products. If you have a question or an access need, please get in touch with us via https://www.springernature.com/gp/info/accessibility Please Note that a more accessible version of this eBook is available as an EPUB. | |
| 532 | 8 | |a Inaccessible, or known limited accessibility | |
| 532 | 8 | |a No reading system accessibility options actively disabled | |
| 532 | 8 | |a Publisher contact for further accessibility information: accessibilitysupport@springernature.com | |
| 588 | |a Print version record. | ||
| 650 | 0 | |a Dynamical systems. | |
| 650 | 0 | |a Functional analysis. | |
| 650 | 0 | |a Differential equations. | |
| 650 | 1 | 4 | |a Dynamical Systems. |
| 650 | 2 | 4 | |a Functional Analysis. |
| 650 | 2 | 4 | |a Differential Equations. |
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| 830 | 0 | |a Mathematical Marvels: Texts and Monographs in the Spirit of CR Rao, |x 3005-1975 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/978-981-95-0713-9 |
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| 950 | |a Focus Bundle Mathematics and Statistics (SpringerNature-85421) | ||