Coupled phase-locked loops : stability, synchronization, chaos and communication with chaos
Language: English Series: World scientific series on nonlinear science series A | / edited by Leon O. Chua; v.93Publication details: World Scientific 2018 New JerseyDescription: x, 244pISBN:- 9789813271944
- 515 M428c
Item type | Current library | Collection | Call number | Status | Date due | Barcode | Item holds | |
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PK Kelkar Library, IIT Kanpur | General Stacks | 515 M428c (Browse shelf(Opens below)) | Available | A184125 |
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515 M351b Basic multivariable calculus | 515 M351c2 calculs I | 515 M351E2 ELEMENTARY CLASSICAL ANALYSIS | 515 M428c Coupled phase-locked loops | 515 M461I INTRODUCTION TO COMPLEX ANALYSIS. | 515 M583M MATHEMATICAL METHODS FOR THE NATURAL AND ENGINEERING SCIENCES | 515 M623o CALCULUS |
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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