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E-raamat: Chaos in Circuits and Systems [World Scientific e-raamat]

Edited by (City Univ Of Hong Kong, China), Edited by (Tokushima Univ, Japan)
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Chaos in Circuits and SystemsSuurem pilt
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The growing importance of nonlinear circuits in electronic and mechatronic equipment has led to an increased interest in the ubiquitous presence of chaos in nonlinear circuits. These 29 articles survey chaos in circuits and systems, with a view towards suppressing chaos when harmful or, in a process called chaotification, enhancing existing chaos when it is beneficial. Specific topics include design methodology for autonomous chaotic oscillators, chaotic wandering in simple coupled chaotic circuits, chaotic neuro-computers, chaos in a pulse-type hardware neuron model, mechanisms for taming chaos by weak harmonic perturbations, and using nonlinear dynamics and chaos to solve signal processing tasks. Annotation c. Book News, Inc., Portland, OR (booknews.com)
Chaotic Oscillators - Design Principles
1(23)
E. Lindberg
K. Murali
A. Tamasevicius
Introduction and General Remarks
2(2)
Amplifiers
4(1)
Oscillators
4(14)
Conclusions and a Question
18(5)
Design Methodology for Autonomous Chaotic Oscillators
23(28)
A. S. Elwakil
M. P. Kennedy
Design Methodology
25(2)
The Diode-inductor Composite
27(11)
The FET-Capacitor Composite
38(9)
Conclusions
47(4)
A Design Method for Chaotic Circuits Using Two Oscillators
51(20)
Y. Hosokawa
Y. Nishio
Introduction
52(1)
The Circuit Model
52(1)
Linearized Model
53(10)
Verification
63(4)
Conclusions
67(4)
Chaotic Wandering in Simple Coupled Chaotic Circuits
71(20)
Y. Nishio
Introduction
72(1)
Circuit Model
73(3)
Four-Phase Quasi-Synchronization and Chaotic Wandering
76(3)
Analysis of Chaotic Wandering
79(10)
Conclusions
89(2)
Intermittent Chaos in Phase-Locked Loops
91(20)
T. Endo
A. Hasegawa
W. Ohno
Introduction
92(1)
Local Intermittency of Pomeau and Manneville Type
93(1)
Global Intermittency Called ``Heteroclinic Tangency Crisis''
94(7)
Intermittency from High-Dimensional Systems
101(6)
Conclusions
107(4)
Dynamical Chaos in Phase-Locked Loops
111(20)
V. Shalfeev
V. Matrosov
Introduction
112(2)
Chaotic Regimes of PLL
114(14)
Conclusion
128(3)
A Chaotic Oscillator Based on Two-Port VCCS
131(20)
M. Kataoka
T. Saito
Introduction
132(1)
The Chaotic Oscillator
132(6)
System Dynamics
138(1)
The Existence of Attractors
139(3)
The Transistorized Circuit
142(1)
Conclusions
143(8)
A Generic Class of Chaotic and Hyperchaotic Circuits with Synchronization Methods
151(20)
J. A. K. Suykens
M. E. Yalcin
J. Vandewalle
Introduction
152(1)
n-Scroll Attractors from a Generalized Chua's Circuit
153(1)
Families of Scroll Grid Attractors
154(3)
Hyperchaotic Attractors
157(4)
Lur'e Representations
161(2)
Synchronization Methods
163(3)
Conclusions
166(5)
Some New Circuit Design for Chaos Generation
171(20)
K. S. Tang
K. F. Man
G. Q. Zhong
G. Chen
Introduction
172(1)
Chua's Circuit
173(5)
Modified Chua's Circuit
178(7)
Chen's Attractor
185(3)
Concluding Remarks
188(3)
A Current Based VLSI Degree-Two Chaos Generator
191(24)
L. Wang
Y. Jiang
R. Newcomb
Introduction
192(1)
Degree-Two Chaos Generation System
192(4)
Chaotic Nature of the System
196(4)
Binary Hysteresis Design
200(4)
VLSI Realization of Current Based Degree-Two Chaos Generator
204(7)
Discussions on Initial Conditions
211(1)
Simulation Results
211(1)
Conclusions
212(3)
Stochastic Analysis of Electrical Circuits
215(22)
M. A. van Wyk
J. Ding
Introduction
216(1)
Frobenius-Perron Operators
216(2)
Existence of Invariant Densities
218(1)
Computation of Invariant Densities
219(6)
Stochastic Behavior of Electrical Circuits
225(9)
Conclusions
234(3)
Chaotic Neuro-Computer
237(20)
Y. Horio
K. Aihara
Introduction
238(1)
Chaotic Neural Network Model
239(2)
SC Circuit Implementation of the Chaotic Neuron Model
241(3)
A Large-Scale Chaotic Neuro-Computer
244(8)
Conclusions
252(5)
Complex Dynamical Behavior in Nearly Symmetric Standard Cellular Neural Networks
257(20)
M. Forti
A. Tesi
Introduction
258(1)
Neural Network Model and Problem Formulation
259(2)
Limit Cycles in Standard PWL CNNs
261(5)
Limit Cycles in Sigmoidal CNNs
266(6)
Complex Dynamics in Standard CNNs
272(2)
Conclusions
274(3)
Chaos in a Pulse-type Hardware Neuron Model
277(20)
K. Saeki
Y. Sekine
K. Aihara
Introduction
278(1)
Chaos in a Pulse-type Hardware Neuron Model
279(9)
The Transmission Characteristics of Chaotic Signals
288(5)
Conclusions
293(4)
Bifurcations in Synaptically Coupled Bonhoffer-van der Pol Neurons
297(20)
K. Tsumoto
T. Yoshinaga
H. Kawakami
Introduction
298(1)
Coupled BVP Equations
298(1)
Analytical Methods
299(4)
Analytical Results
303(11)
Concluding Remarks
314(3)
Chaos in Power Electronics: An Overview
317(24)
M. di Bernardo
C. K. Tse
Introduction
318(1)
Power Electronics Circuits: A Brief Overview
319(3)
Conventional Treatments
322(1)
Bifurcations and Chaos in Power Electronics
323(1)
A Survey of Research Findings
324(3)
Modelling Strategies
327(5)
Analysis and Classification of Non-smooth Bifurcations
332(4)
Current Status and Future Work
336(5)
Use of Chaotic Switching for Harmonic Power Redistribution in Power Converters
341(26)
H. S. H. Chung
S. Y. R. Hui
K. K. Tse
Introduction
342(1)
Chua's Circuit Revisit
343(5)
Amplitude Distribution and the Power Spectral Density with Chaotic Signal
348(3)
Mathematical Analysis
351(4)
Studying of the PSD with Chaotic Switching
355(1)
Experimental Verifications
356(3)
Conclusions
359(8)
Experimental Techniques for Investigating Chaos in Electronics
367(18)
C. K. Tse
Introduction
368(1)
Overview of Simulation Study and Verification
368(1)
Experimental Investigation
369(1)
Displaying Time-domain Waveforms, Attractors and Spectra
370(3)
Displaying Poincare Sections
373(5)
Displaying Bifurcation Diagrams
378(5)
Conclusions
383(2)
Nonlinear Dynamical Systems with Interrupted Characteristics: Bifurcation and Control
385(18)
T. Kousaka
T. Ueta
H. Kawakami
Introduction
386(1)
Circuit Equation and Switching Action
387(3)
Bifurcation Analysis
390(2)
Controlling Chaos
392(2)
The Alpazur Oscillator
394(4)
Conclusions
398(5)
Controller Synthesis for Periodically Forced Chaotic Systems
403(20)
M. Basso
R. Genesio
L. Giovanardi
Introduction
404(1)
Problem Formulation and Preliminary Results
405(6)
Controller Synthesis
411(3)
Application Examples
414(5)
Conclusions
419(4)
Mechanism for Taming Chaos by Weak Harmonic Perturbations
423(20)
N. Inaba
Introduction
424(1)
Circuit Setup
424(7)
Analysis by the Use of a Constrained Equation
431(1)
Derivation of Poincare Map
432(8)
Conclusions
440(3)
Correlator-Based Chaotic Communications: Attainable Noise and Multipath Performance
443(44)
Geza Kolumban
M. P. Kennedy
Introduction
445(1)
Chaotic Modulation and Demodulation
446(3)
The Estimation Problem
449(4)
Receiver Model
453(1)
CSK with One Basis Function
454(6)
CSK with Two Basis Functions
460(9)
Comparison of Noise Performance and Feasibility of Chaotic Systems
469(2)
Multipath Performance
471(7)
Conclusions
478(9)
Using Nonlinear Dynamics and Chaos to Solve Signal Processing Tasks
487(22)
M. Ogorzalek
Introduction
488(2)
Relation with Shadowing and Noise Reduction
490(1)
Continuous-Time Approach
491(4)
Discrete-time Approach
495(2)
Trade-offs in Trajectory Reconstruction
497(4)
Processing of Signals When no Model of Dynamics is Known
501(2)
Conclusions
503(6)
Chaos Synchronization in a Noisy Environment Using Kalman Filters
509(20)
T. Schimming
O. De Feo
Introduction
510(1)
System Class
511(2)
Kalman Filtering
513(3)
Filtering Lur'e Systems
516(3)
Application
519(5)
Conclusions
524(5)
Identification of a Parametrized Family of Chaotic Dynamics from Time Series
529(18)
I. Tokuda
R. Tokunaga
Introduction
530(2)
Reconstructing a Parametrized Family of Chaotic Dynamics
532(6)
Numerical Experiment on the Rossler Equations
538(4)
Recognizing Chaotic Time Series
542(1)
Discussions and Conclusions
543(4)
Cipher-Quasi-Chaotic Sequence with Application to Spreading Spectrum Communication Systems
547(30)
J. B. Yu
Introduction
548(2)
CSS Sequence Optimization
550(6)
BER and FER Performance Comparison: LCSS/CDMA vs Q-CDMA
556(3)
Cipher Quasi-Chaotic Sequences
559(8)
A Chaotic Interleaver Used in Turbo Coding
567(4)
Concluding Remarks
571(6)
Image Processing in Tunneling Phase Logic Cellular Nonlinear Networks
577(16)
T. Yang
R. A. Kiehl
L. O. Chua
Introduction
578(1)
Deterministic Model of Isolated Tunneling Phase Logic Element
579(2)
One-Dimensional TPL-CNN
581(2)
Two-Dimensional TPL-CNN
583(3)
Image Processing Abilities
586(4)
Concluding Remarks
590(3)
Numerical Approaches to Bifurcation Analysis
593(18)
T. Ueta
H. Kawakami
Introduction
594(1)
Poincare Map
595(3)
Computation of Bifurcation Parameter Values
598(5)
Simulation Examples
603(4)
An Application- Isocline with the argument
607(1)
Comparison with Conventional Methods
608(1)
Conclusions
609(2)
Chaos in One-Dimensional Maps
611(28)
M. A. van Wyk
W.-H. Steeb
Introduction
612(1)
One-Dimensional Maps
612(1)
Orbits and Their Properties
613(6)
Hyperbolicity
619(2)
Stability
621(1)
Topological Conjugacy
622(2)
Chaos
624(3)
Variational Equation and Lyapunov Exponent
627(2)
Invariant Density and Ergodic Theorem
629(7)
Conclusions
636(3)
Index 639


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