Advanced Topics On Cellular Self-organizing Nets And Chaotic Nonlinear Dynamics To Model And Control Complex Systems

By: Luigi Fortuna, Riccardo Caponetto, Mattia Frasca

Write A Review

Hardcover | 20 June 2008

At a Glance

Hardcover
200 Pages

Dimensions(cm)
23.8 x 16.2 x 2

Hardcover

RRP $187.99

$169.75

10%OFF

or 4 interest-free payments of $42.44 with

Ships in 15 to 25 business days

This book focuses on the research topics investigated during the three-year research project funded by the Italian Ministero dell'Istruzione, dell'Universita e della Ricerca (MIUR: Ministry of Education, University and Research) under the FIRB project RBNE01CW3M. With the aim of introducing newer perspectives of the research on complexity, the final results of the project are presented after a general introduction to the subject. The book is intended to provide researchers, PhD students, and people involved in research projects in companies with the basic fundamentals of complex systems and the advanced project results recently obtained.

Shipping

	Standard Shipping	Express Shipping
Metro postcodes:	$9.99	$14.95
Regional postcodes:	$9.99	$14.95
Rural postcodes:	$9.99	$14.95

Orders over $79.00 qualify for free shipping.

How to return your order

At Booktopia, we offer hassle-free returns in accordance with our returns policy. If you wish to return an item, please get in touch with Booktopia Customer Care.

Additional postage charges may be applicable.

Defective items

If there is a problem with any of the items received for your order then the Booktopia Customer Care team is ready to assist you.

For more info please visit our Help Centre.

Preface	p. v
Contributors	p. vii
List of People Involved in the FIRB Project	p. xi
The CNN Paradigm for Complexity	p. 1
Introduction	p. 1
The 3D-CNN Model	p. 3
E[superscript 3]: An Universal Emulator for Complex Systems	p. 9
Emergence of Forms in 3D-CNNs	p. 12
Initial conditions	p. 13
3D waves in homogeneous and unhomogeneous media	p. 14
Chua's circuit	p. 16
Lorenz system	p. 17
Rossler system	p. 20
FitzHugh-Nagumo neuron model	p. 20
Hindmarsh-Rose neuron model	p. 21
Inferior-Olive neuron model	p. 22
Izhikevich neuron model	p. 26
Neuron model exhibiting homoclinic chaos	p. 27
Conclusions	p. 29
Emergent Phenomena in Neuroscience	p. 39
Introductory Material: Neurons and Models	p. 39
Models of excitability	p. 40
The Hodgkin-Huxley model	p. 41
The FitzHugh-Nagumo model	p. 42
Class I and class II excitability	p. 43
Other neuron models	p. 44
Electronic Implementation of Neuron Models	p. 46
Implementation of single cell neuron dynamics	p. 47
Implementation of systems with many neurons	p. 49
Local Activity Theory for Systems of IO Neurons	p. 54
The theory of local activity for one-port and two-port systems	p. 55
The local activity and the edge of chaos regions of the inferior olive neuron	p. 56
Simulation of IO Systems: Emerging Results	p. 58
The paradigm of local active wave computation for image processing	p. 58
Local active wave computation based paradigm: 3D-shape processing	p. 60
Networks of HR Neurons	p. 63
The neural model	p. 64
Parameters for dynamical analysis	p. 66
Dynamical effects of topology on synchronization	p. 68
Neurons in Presence of Noise	p. 72
Conclusions	p. 79
Frequency Analysis and Identification in Atomic Force Microscopy	p. 83
Introduction	p. 83
AFM Modeling	p. 85
Piecewise interaction force	p. 88
Lennard Jones-like interaction force	p. 88
Frequency Analysis via Harmonic Balance	p. 89
Piecewise interaction model analysis	p. 91
Lennard Jones-like hysteretic model analysis	p. 93
Identification of the Tip-Sample Force Model	p. 95
Identification method	p. 95
Experimental results	p. 98
Conclusions	p. 98
Control and Parameter Estimation of Systems with Low-Dimensional Chaos - The Role of Peak-to-Peak Dynamics	p. 101
Introduction	p. 101
Peak-to-Peak Dynamics	p. 102
Control System Design	p. 105
PPD modeling and control	p. 106
The impact of noise and sampling frequency	p. 109
PPD reconstruction	p. 110
Parameter Estimation	p. 115
Derivation of the "empirical PPP"	p. 116
Interpolation of the "empirical PPP"	p. 117
Optimization	p. 117
Example of application	p. 118
Concluding Remarks	p. 121
Synchronization of Complex Networks	p. 123
Introduction	p. 123
Synchronization of Interacting Oscillators	p. 123
From Local to Long-Range Connections	p. 125
The Master Stability Function	p. 126
The case of continuous time systems	p. 126
The Master stability function for coupled maps	p. 131
Key Elements for the Assessing of Synchronizability	p. 132
Bounding the eigenratio [characters not reproducible]	p. 133
Other approaches for assessing synchronizability	p. 134
Synchronizability of Weighted Networks	p. 135
Coupling matrices with a real spectra	p. 135
Numerical simulations	p. 137
Weighting: local vs global approaches	p. 139
Coupling matrices with a complex spectra	p. 140
Essential topological features for synchronizability	p. 143
Synchronization of Coupled Oscillators: Some Significant Results	p. 145
Networks of phase oscillators	p. 145
Networks of coupled oscillators	p. 148
Conclusions	p. 151
Economic Sector Identification in a Set of Stocks Traded at the New York Exchange: A Comparative Analysis	p. 159
Introduction	p. 159
The Data Set	p. 161
Random Matrix Theory	p. 162
Hierarchical Clustering Methods	p. 165
Single linkage correlation based clustering	p. 166
Average linkage correlation based clustering	p. 169
The Planar Maximally Filtered Graph	p. 174
Conclusions	p. 178
Innovation Systems by Nonlinear Networks	p. 181
Introduction	p. 181
Cellular Automata Model	p. 183
Innovation Models Based on CNNs	p. 184
Simulation Results	p. 186
Conclusions	p. 187
Index	p. 189
Table of Contents provided by Ingram. All Rights Reserved.

Advanced Topics On Cellular Self-organizing Nets And Chaotic Nonlinear Dynamics To Model And Control Complex Systems

At a Glance

Hardcover

Shipping

How to return your order

Defective items

You Can Find This Book In

More in Chaos Theory

Making Sense of Chaos

A Better Economics for a Better World

Beautiful Security

When Science Meets Cybersecurity

STATISTICAL PHYSICS

STATICS, DYNAMICS...

The e-Dimensionality Information Principle

Information, Representation, and Algorithms

Literature and Ecotheology

From Chaos to Cosmos

Every Life Is On Fire

How Thermodynamics Explains the Origins of Living Things

Complexity Economics

Proceedings of the Santa Fe Institute's 2019 Fall Symposium

Beautiful Security

When Science Meets Cybersecurity

Introduction to Nonlinear Dynamics for Physicists

World Scientific Lecture Notes in Physics

Neural Network for Optimization and Combinatorics

Nonlinear Physics for Beginners

Symplectic Twist Maps

Advanced Series in Nonlinear Dynamics

Universality and Emergent Computation in Cellular Neural Networks

World Scientific Series on Nonlinear Science, Series A, 43

Nonlinear Dynamics : From Lasers to Butterflies

From Lasers to Butterflies

Chaos and Its Reconstruction

Encounters in Nonlinear Optics : Selected Papers of Nicolaas Bloembergen, with Commentary

Selected Papers of Nicolaas Bloembergen, with Commentary

Chaos Theory in Economics : Methods, Models and Evidence

International Library of Critical Writings in Economics

Poincare and the Three Body Problem

History of Mathematics

From Chaos to Order : Methodologies, Perspectives, and Applications

Methodologies, Perspectives, and Applications

Rayleigh-Benard Convection : Structures and Dynamics

Structures and Dynamics

Topics in Nonlinear Dynamics : Applications to Physics, Biology and Economic Systems

Applications to Physics, Biology and Economic Systems

Acoustic Interactions with Submerged Elastic Structures

Series on Stability, Vibration, and Control of Systems. Series B, V. 5

Wavelets and Renormalizations

Approximations & Decomposition Series

The End of Certainty

Time, Chaos and the New Laws of Nature

This product is categorised by