Hierarchical Methods: Undulative Electrodynamical Systems, Volume 2
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Dordrecht
Springer Netherlands
2002
|
| Series: | Fundamental Theories of Physics
128 |
| Subjects: | |
| Online Access: | Volltext |
| Item Description: | The book consists of two Volumes. The first (the preceding volume) is devoted to the general nonlinear theory of the hierarchical dynamic oscillative–wave systems. This theory has been called the theory of hierarchical oscillations and waves. Here two aspects of the proposed theory are discussed. The first aspects concern the fundamental nature and the basic concepts and ideas of a new hierarchical approach to studying hierarchical dynamic systems. A new hierarchical paradigm is proposed as a thesis of a new point of view of such types of systems. In turn, a set of hierarchical principles is formulated as the fundamental basis of this paradigm. Therein the self-resemblance (holographic) principle plays a key role here. An adequate mathematic description (factorization) of the proposed paradigm is carried out. The concepts of structural and dynamic (functional) operators are put into the basis of this description. Electrodynamics is chosen as a convenient basis for an obvious demonstration of some key points of the proposed new theory. The second aspect has a purely mathematical nature. It is related to the form of factorization (i.e., mathematical description) of hierchical types of dynamic models, and discussion of the methods of their mathematical analysis. A set of the hierarchical asymptotic analytical– numerical methods is given as an evidence of the practical effectiveness of the proposed version of hierarchical theory |
| Physical Description: | 1 Online-Ressource (XVIII, 382 p) |
| ISBN: | 9780306480621 9781402009686 |
| DOI: | 10.1007/0-306-48062-X |
Staff View
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| 500 | |a The book consists of two Volumes. The first (the preceding volume) is devoted to the general nonlinear theory of the hierarchical dynamic oscillative–wave systems. This theory has been called the theory of hierarchical oscillations and waves. Here two aspects of the proposed theory are discussed. The first aspects concern the fundamental nature and the basic concepts and ideas of a new hierarchical approach to studying hierarchical dynamic systems. A new hierarchical paradigm is proposed as a thesis of a new point of view of such types of systems. In turn, a set of hierarchical principles is formulated as the fundamental basis of this paradigm. Therein the self-resemblance (holographic) principle plays a key role here. An adequate mathematic description (factorization) of the proposed paradigm is carried out. The concepts of structural and dynamic (functional) operators are put into the basis of this description. Electrodynamics is chosen as a convenient basis for an obvious demonstration of some key points of the proposed new theory. The second aspect has a purely mathematical nature. It is related to the form of factorization (i.e., mathematical description) of hierchical types of dynamic models, and discussion of the methods of their mathematical analysis. A set of the hierarchical asymptotic analytical– numerical methods is given as an evidence of the practical effectiveness of the proposed version of hierarchical theory | ||
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Record in the Search Index
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| doi_str_mv | 10.1007/0-306-48062-X |
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| id | DE-604.BV042410842 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:20:47Z |
| institution | BVB |
| isbn | 9780306480621 9781402009686 |
| language | English |
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| physical | 1 Online-Ressource (XVIII, 382 p) |
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| publisher | Springer Netherlands |
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| series | Fundamental Theories of Physics |
| series2 | Fundamental Theories of Physics |
| spelling | Kuliš, Viktor V. 1951- Verfasser (DE-588)105613481X aut Hierarchical Methods Undulative Electrodynamical Systems, Volume 2 by Victor V. Kulish Dordrecht Springer Netherlands 2002 1 Online-Ressource (XVIII, 382 p) txt rdacontent c rdamedia cr rdacarrier Fundamental Theories of Physics 128 The book consists of two Volumes. The first (the preceding volume) is devoted to the general nonlinear theory of the hierarchical dynamic oscillative–wave systems. This theory has been called the theory of hierarchical oscillations and waves. Here two aspects of the proposed theory are discussed. The first aspects concern the fundamental nature and the basic concepts and ideas of a new hierarchical approach to studying hierarchical dynamic systems. A new hierarchical paradigm is proposed as a thesis of a new point of view of such types of systems. In turn, a set of hierarchical principles is formulated as the fundamental basis of this paradigm. Therein the self-resemblance (holographic) principle plays a key role here. An adequate mathematic description (factorization) of the proposed paradigm is carried out. The concepts of structural and dynamic (functional) operators are put into the basis of this description. Electrodynamics is chosen as a convenient basis for an obvious demonstration of some key points of the proposed new theory. The second aspect has a purely mathematical nature. It is related to the form of factorization (i.e., mathematical description) of hierchical types of dynamic models, and discussion of the methods of their mathematical analysis. A set of the hierarchical asymptotic analytical– numerical methods is given as an evidence of the practical effectiveness of the proposed version of hierarchical theory Physics Mathematics Mathematical physics Microwaves Mathematical and Computational Physics Electronic and Computer Engineering Applications of Mathematics Microwaves, RF and Optical Engineering Mathematik Mathematische Physik Fundamental Theories of Physics 128 (DE-604)BV000012461 128 https://doi.org/10.1007/0-306-48062-X Verlag Volltext |
| spellingShingle | Kuliš, Viktor V. 1951- Hierarchical Methods Undulative Electrodynamical Systems, Volume 2 Fundamental Theories of Physics Physics Mathematics Mathematical physics Microwaves Mathematical and Computational Physics Electronic and Computer Engineering Applications of Mathematics Microwaves, RF and Optical Engineering Mathematik Mathematische Physik |
| title | Hierarchical Methods Undulative Electrodynamical Systems, Volume 2 |
| title_auth | Hierarchical Methods Undulative Electrodynamical Systems, Volume 2 |
| title_exact_search | Hierarchical Methods Undulative Electrodynamical Systems, Volume 2 |
| title_full | Hierarchical Methods Undulative Electrodynamical Systems, Volume 2 by Victor V. Kulish |
| title_fullStr | Hierarchical Methods Undulative Electrodynamical Systems, Volume 2 by Victor V. Kulish |
| title_full_unstemmed | Hierarchical Methods Undulative Electrodynamical Systems, Volume 2 by Victor V. Kulish |
| title_short | Hierarchical Methods |
| title_sort | hierarchical methods undulative electrodynamical systems volume 2 |
| title_sub | Undulative Electrodynamical Systems, Volume 2 |
| topic | Physics Mathematics Mathematical physics Microwaves Mathematical and Computational Physics Electronic and Computer Engineering Applications of Mathematics Microwaves, RF and Optical Engineering Mathematik Mathematische Physik |
| topic_facet | Physics Mathematics Mathematical physics Microwaves Mathematical and Computational Physics Electronic and Computer Engineering Applications of Mathematics Microwaves, RF and Optical Engineering Mathematik Mathematische Physik |
| url | https://doi.org/10.1007/0-306-48062-X |
| volume_link | (DE-604)BV000012461 |
| work_keys_str_mv | AT kulisviktorv hierarchicalmethodsundulativeelectrodynamicalsystemsvolume2 |