000			02042 a2200241 4500
005			20181224130115.0
008			181220b xxu||||| |||| 00| 0 eng d
020			_a9789813271944
040			_cIIT Kanpur
041			_aeng
082			_a515 _bM428c
100			_aMatrosov, Valery V.
245			_aCoupled phase-locked loops _bstability, synchronization, chaos and communication with chaos _cValery V. Matrosov and Vladimir D. Shalfeev
260			_bWorld Scientific _c2018 _aNew Jersey
300			_ax, 244p
440			_aWorld scientific series on nonlinear science series A
490			_a / edited by Leon O. Chua; v.93
520			_aModern 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.
650			_aChaotic behavior in systems
650			_aNonlinear oscillators -- Mathematics
700			_aShalfeev, Vladimir D.
942			_cBK
999			_c559900 _d559900