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Stability Analysis of Nonlinear Microwave Circuits

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Book Description

If you are working with circuits based on solid state devices, diodes and transistors, designing radio-frequency circuits, or regularly involved in any area requiring a functional knowledge of nonlinear oscillations and stability concepts, this book provides you with an indepth look at the very complex and often unforeseen behavior of nonlinear circuits. You find detailed coverage of circuits used in power amplifiers, voltage-controlled oscillators, frequency dividers, frequency multipliers, self oscillating mixers, and phased-locked loops.

This unique resource gives you greater insight into thedesign solutions that nonlinear circuits offer, presenting explanations anddetection techniques for many "anomalous" phenomena often encountered inpractice. You gain a better understanding of nonlinear oscillation theory andstability issues as you learn new techniques for the efficient steady-statesimulation of these circuits. The book helps you overcome common designdifficulties such as stability analysis of nonlinear regimes and thedetermination of the stable operation ranges of nonlinear circuits. Moreover,this practical reference covers chaotic solutions in microwave circuits and thetransformation in circuit behavior that often precedes these solutions.

Contents:

General Introduction.

Steady-state Solutions on Nonlinear Circuits - Autonomousand Non-autonomous Dynamical Systems. State-space Representation of Solutions.Transient Trajectories and Limit Sets. Poincare Maps. Steady-state Solutions.Steady-state Solution Analysis Technique. Harmonic Balance.

Local Stability - Concept of Stability. Algorithms forStability Analysis Through Harmonic Balance (HB).

Global Stability - Bifurcation Diagrams. Bifurcation Loci.

Chaos - Characteristics of Chaotic Steady-state Solutions.MC examples. Circuits in which This Kind of Solution has been Observed.Frequency Divider. Self-oscillating Mixer. Bifurcation Routes to Chaos.

Conclusions.

Almudena Suárez is an associate professor inthe communications engineering department at the University of Cantabria,Spain, where she received her B.Sc. and Ph.D degrees in electronic physics. Shereceived her additional doctorate degree in electronics, electrotechnique andoptics from the University of Limoges, France.

Raymond Quéré is a full professor atUniversity of Limoges, where he earned his Ph.D. in electrical engineering. Heis a senior member of the IEEE and serves as a referee for several transctionsand conferences.

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