Introduction To Nonlinear Network Theory Dynamic Nonlinear Networks
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Introduction to Nonlinear Network Theory: Resistive nonlinear networks
Author | : Leon O. Chua |
Publisher | : |
Total Pages | : 492 |
Release | : 1978 |
Genre | : Electric networks, Nonlinear |
ISBN | : |
Dynamic Nonlinear Networks
Author | : Leon O. Chua |
Publisher | : |
Total Pages | : 27 |
Release | : 1978 |
Genre | : Electric networks, Nonlinear |
ISBN | : |
Introduction to Nonlinear Network Theory: Dynamic nonlinear networks
Author | : Leon O. Chua |
Publisher | : |
Total Pages | : 448 |
Release | : 1978 |
Genre | : Electric networks, Nonlinear |
ISBN | : |
Introduction to Nonlinear Circuits and Networks
Author | : Bharathwaj Muthuswamy |
Publisher | : Springer |
Total Pages | : 373 |
Release | : 2018-10-26 |
Genre | : Technology & Engineering |
ISBN | : 3319673254 |
This course-based text revisits classic concepts in nonlinear circuit theory from a very much introductory point of view: the presentation is completely self-contained and does not assume any prior knowledge of circuit theory. It is simply assumed that readers have taken a first-year undergraduate course in differential and integral calculus, along with an elementary physics course in classical mechanics and electrodynamics. Further, it discusses topics not typically found in standard textbooks, such as nonlinear operational amplifier circuits, nonlinear chaotic circuits and memristor networks. Each chapter includes a set of illustrative and worked examples, along with end-of-chapter exercises and lab exercises using the QUCS open-source circuit simulator. Solutions and other material are provided on the YouTube channel created for this book by the authors.
Synchronization in Complex Networks of Nonlinear Dynamical Systems
Author | : Chai Wah Wu |
Publisher | : World Scientific |
Total Pages | : 168 |
Release | : 2007 |
Genre | : Mathematics |
ISBN | : 9812709746 |
This book brings together two emerging research areas: synchronization in coupled nonlinear systems and complex networks, and study conditions under which a complex network of dynamical systems synchronizes. While there are many texts that study synchronization in chaotic systems or properties of complex networks, there are few texts that consider the intersection of these two very active and interdisciplinary research areas. The main theme of this book is that synchronization conditions can be related to graph theoretical properties of the underlying coupling topology. The book introduces ideas from systems theory, linear algebra and graph theory and the synergy between them that are necessary to derive synchronization conditions. Many of the results, which have been obtained fairly recently and have until now not appeared in textbook form, are presented with complete proofs. This text is suitable for graduate-level study or for researchers who would like to be better acquainted with the latest research in this area. Sample Chapter(s). Chapter 1: Introduction (76 KB). Contents: Graphs, Networks, Laplacian Matrices and Algebraic Connectivity; Graph Models; Synchronization in Networks of Nonlinear Continuous-Time Dynamical Systems; Synchronization in Networks of Coupled Discrete-Time Systems; Synchronization in Network of Systems with Linear Dynamics; Agreement and Consensus Problems in Groups of Interacting Agents. Readership: Graduate students and researchers in physics, applied mathematics and engineering.