<p><p>This book develops analytical methods for studying the dynamical chaos, synchronization, and dynamics of structures in various models of coupled rotators. </p><p>Rotators and their systems are defined in a cylindrical phase space, and, unlike oscillators, which are defined in Rn, they have a w
Coupled Phase Locked Loops - Stability, Synchronization, Chaos and Communication With Chaos
โ Scribed by Valery V. Matrosov, Vladimir D. Shalfeev
- Publisher
- World Scientific
- Year
- 2018
- Tongue
- English
- Leaves
- 251
- Series
- World Scientific Series on Nonlinear Science Series a
- Category
- Library
No coin nor oath required. For personal study only.
โฆ Synopsis
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. Authors address 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.
๐ SIMILAR VOLUMES
Over the past few decades, there has been numerous research studies conducted involving the synchronization of dynamical systems with several theoretical studies and laboratory experimentations demonstrating the pivotal role for this phenomenon in secure communications. Chaos Synchronization and Cry
<p>This book is devoted to a detailed and comprehensive study of phase locked loops aimed at preparing the reader to design them and to understand their applications. It is written at a level corresponding to a final year electronics undergraduate or a postgraduate student. Linear and semidigital ph