Coupled phase locked loops: stability, synchronization, chaos and communication with chaos
"Modern technological, biological, and socioeconomic systems are extremely complex. The study of such systems largely relies on the concepts of competition and cooperation (synchronization). The main approaches to the study of nonlinear dynamics of complex systems are now associated with models...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Singapore
World Scientific Publishing Company Pte Limited
2019
|
| Schriftenreihe: | World Scientific series on nonlinear science
|
| Schlagworte: | |
| Online-Zugang: | UBY01 Volltext |
| Zusammenfassung: | "Modern technological, biological, and socioeconomic systems are extremely complex. The study of such systems largely relies on the concepts of competition and cooperation (synchronization). The main approaches to the study of nonlinear dynamics of complex systems are now associated with models of collective dynamics of networks and ensembles, formed by interacting dynamical elements. Unfortunately, the applicability of analytical and qualitative methods of nonlinear dynamics to such complex systems is severely restricted due to the high dimension of phase space. Therefore, studying the simplest models of networks, which are ensembles with a small number of elements, becomes of particular interest. Such models allow to make use of the entire spectrum of analytical, qualitative, and numerical methods of nonlinear dynamics. This book is devoted to the investigation of a kind of such systems, namely small ensembles of coupled, phase-controlled oscillators. Both traditional issues, like synchronization, that are relevant for applications in radio-communications, radio-location, energy, etc., and nontraditional issues of excitation of chaotic oscillations and their possible application in advanced communication systems are addressed."-- |
| Beschreibung: | Includes bibliographical references (pages 237-242) and index Introduction. Dynamical chaos and information communication -- Nonlinear dynamics of the phase system -- Cascade coupling of two phase systems -- Three cascade-coupled phase system dynamics -- Phase systems parallel coupling -- Synchronization of chaotic oscillations -- Communication with chaos |
| Beschreibung: | 1 online resource (255 pages) illustrations (some color) |
| ISBN: | 9789813271951 |
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| 245 | 1 | 0 | |a Coupled phase locked loops |b stability, synchronization, chaos and communication with chaos |c Valery V. Matrosov, Vladimir D. Shalfeev |
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| 500 | |a Includes bibliographical references (pages 237-242) and index | ||
| 500 | |a Introduction. Dynamical chaos and information communication -- Nonlinear dynamics of the phase system -- Cascade coupling of two phase systems -- Three cascade-coupled phase system dynamics -- Phase systems parallel coupling -- Synchronization of chaotic oscillations -- Communication with chaos | ||
| 520 | |a "Modern technological, biological, and socioeconomic systems are extremely complex. The study of such systems largely relies on the concepts of competition and cooperation (synchronization). The main approaches to the study of nonlinear dynamics of complex systems are now associated with models of collective dynamics of networks and ensembles, formed by interacting dynamical elements. Unfortunately, the applicability of analytical and qualitative methods of nonlinear dynamics to such complex systems is severely restricted due to the high dimension of phase space. Therefore, studying the simplest models of networks, which are ensembles with a small number of elements, becomes of particular interest. Such models allow to make use of the entire spectrum of analytical, qualitative, and numerical methods of nonlinear dynamics. This book is devoted to the investigation of a kind of such systems, namely small ensembles of coupled, phase-controlled oscillators. Both traditional issues, like synchronization, that are relevant for applications in radio-communications, radio-location, energy, etc., and nontraditional issues of excitation of chaotic oscillations and their possible application in advanced communication systems are addressed."-- | ||
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| discipline | Mathematik |
| discipline_str_mv | Mathematik |
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| id | DE-604.BV046810686 |
| illustrated | Illustrated |
| index_date | 2024-07-03T14:58:49Z |
| indexdate | 2024-07-10T08:54:29Z |
| institution | BVB |
| isbn | 9789813271951 |
| language | English |
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| oclc_num | 1190910991 |
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| physical | 1 online resource (255 pages) illustrations (some color) |
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| series2 | World Scientific series on nonlinear science |
| spelling | Matrosov, Valery V. 1960- aut Coupled phase locked loops stability, synchronization, chaos and communication with chaos Valery V. Matrosov, Vladimir D. Shalfeev Singapore World Scientific Publishing Company Pte Limited 2019 1 online resource (255 pages) illustrations (some color) txt rdacontent c rdamedia cr rdacarrier World Scientific series on nonlinear science Includes bibliographical references (pages 237-242) and index Introduction. Dynamical chaos and information communication -- Nonlinear dynamics of the phase system -- Cascade coupling of two phase systems -- Three cascade-coupled phase system dynamics -- Phase systems parallel coupling -- Synchronization of chaotic oscillations -- Communication with chaos "Modern technological, biological, and socioeconomic systems are extremely complex. The study of such systems largely relies on the concepts of competition and cooperation (synchronization). The main approaches to the study of nonlinear dynamics of complex systems are now associated with models of collective dynamics of networks and ensembles, formed by interacting dynamical elements. Unfortunately, the applicability of analytical and qualitative methods of nonlinear dynamics to such complex systems is severely restricted due to the high dimension of phase space. Therefore, studying the simplest models of networks, which are ensembles with a small number of elements, becomes of particular interest. Such models allow to make use of the entire spectrum of analytical, qualitative, and numerical methods of nonlinear dynamics. This book is devoted to the investigation of a kind of such systems, namely small ensembles of coupled, phase-controlled oscillators. Both traditional issues, like synchronization, that are relevant for applications in radio-communications, radio-location, energy, etc., and nontraditional issues of excitation of chaotic oscillations and their possible application in advanced communication systems are addressed."-- Phase-locked loops / Mathematics Nonlinear oscillators / Mathematics Chaotic behavior in systems Electronic books Shalfeev, Vladimir D. Sonstige oth Erscheint auch als Druck-Ausgabe 9789813271944 Erscheint auch als Druck-Ausgabe 9813271949 http://www.worldscientific.com/worldscibooks/10.1142/11038 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Matrosov, Valery V. 1960- Coupled phase locked loops stability, synchronization, chaos and communication with chaos Phase-locked loops / Mathematics Nonlinear oscillators / Mathematics Chaotic behavior in systems Electronic books |
| title | Coupled phase locked loops stability, synchronization, chaos and communication with chaos |
| title_auth | Coupled phase locked loops stability, synchronization, chaos and communication with chaos |
| title_exact_search | Coupled phase locked loops stability, synchronization, chaos and communication with chaos |
| title_exact_search_txtP | Coupled phase locked loops stability, synchronization, chaos and communication with chaos |
| title_full | Coupled phase locked loops stability, synchronization, chaos and communication with chaos Valery V. Matrosov, Vladimir D. Shalfeev |
| title_fullStr | Coupled phase locked loops stability, synchronization, chaos and communication with chaos Valery V. Matrosov, Vladimir D. Shalfeev |
| title_full_unstemmed | Coupled phase locked loops stability, synchronization, chaos and communication with chaos Valery V. Matrosov, Vladimir D. Shalfeev |
| title_short | Coupled phase locked loops |
| title_sort | coupled phase locked loops stability synchronization chaos and communication with chaos |
| title_sub | stability, synchronization, chaos and communication with chaos |
| topic | Phase-locked loops / Mathematics Nonlinear oscillators / Mathematics Chaotic behavior in systems Electronic books |
| topic_facet | Phase-locked loops / Mathematics Nonlinear oscillators / Mathematics Chaotic behavior in systems Electronic books |
| url | http://www.worldscientific.com/worldscibooks/10.1142/11038 |
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