Computational Mind

by Ivancevic, Vladimir G.; Ivancevic, Tijana T.

• ISBN13: 9783540714651
• ISBN10: 3540714650
• Format: Hardcover
• Copyright: 2007-09-03
• Publisher: Springer Verlag

Summary

Computational Mind: A Complex Dynamics Perspective is a graduate-level monographic textbook in the field of Computational Intelligence. It presents a modern dynamical theory of the computational mind, combining cognitive psychology, artificial and computational intelligence, and chaos theory with quantum consciousness and computation. The book introduces to human and computational mind, comparing and contrasting main themes of cognitive psychology, artificial and computational intelligence. It presents brain/mind dynamics from the chaos theory perspective, including sections on chaos in human EEG, basics of nonlinear dynamics and chaos, techniques of chaos control, synchronization in chaotic systems and complexity in humanoid robots. This book presents modern theory of quantum computational mind, including sections on Dirac-Feynman quantum dynamics, quantum consciousness, and quantum computation using Josephson junctions. The book is designed as a one-semester course for computer scientists, engineers, physicists and applied mathematicians, both in industry and academia. It includes a strong bibliography on the subject and detailed index.

Author Biography

Tijana T. Ivancevic is from the University of Adelaide, Department of Applied Mathematics, School of Mathematical Sciences.

Table of Contents

Introduction: Human and Computational Mind	p. 1
Natural Intelligence and Human Mind	p. 1
Human Intelligence	p. 39
Human Problem Solving	p. 81
Human Mind	p. 89
Artificial and Computational Intelligence	p. 111
Artificial Intelligence	p. 111
Computational Intelligence	p. 185
Chaotic Brain/Mind Dynamics	p. 271
Chaos in Human EEG	p. 271
Basics of Nonlinear Dynamics and Chaos Theory	p. 274
Language of Nonlinear Dynamics	p. 282
Linearized Autonomous Dynamics	p. 286
Oscillations and Periodic Orbits	p. 290
Conservative versus Dissipative Dynamics	p. 295
Attractors	p. 302
Chaotic Behavior	p. 314
Chaotic Repellors and Their Fractal Dimension	p. 335
Fractal Basin Boundaries and Saddle-Node Bifurcations	p. 357
Chaos Field Theory	p. 372
Chaos Control	p. 374
Feedback versus Non-Feedback Algorithms	p. 374
Exploiting Critical Sensitivity	p. 378
Lyapuiiov Exponents and Kaplan-Yorke Dimension	p. 380
Kolmogorov-Sinai Entropy	p. 382
Chaos Control by Ott, Grebogi and Yorke)	p. 383
Floquet Stability Analysis and OGY Control	p. 386
Blind Chaos Control	p. 390
Synchronization in Chaotic Systems	p. 394
Lyapunov Vectors and Lyapunov Exponents	p. 395
Phase Synchronization in Coupled Chaotic Oscillators	p. 402
The Onset of Synchronizaticjn in Chaotic Systems	p. 405
Neural Bursting and Consciousness	p. 415
Complexity of Humanoid Robots	p. 423
General Complexity	p. 423
Humanoid Robotics	p. 428
Humanoid Complexity	p. 440
Quantum Computational Mind	p. 461
Dirac-Feynman Quantum Dynamics	p. 461
Non-Relativistic Quantum Mechanics	p. 461
Relativistic Quantum Mechanics and Electrodynamics	p. 479
Feynman's Path-Integral Quantum Theory	p. 496
Quantum Consciousness	p. 520
EPR Paradox and Bell's Theorem	p. 520
Orchestrated Objective Reduction and Penrose Paradox	p. 532
Physical Science and Consciousness	p. 537
Quantum Brain	p. 547
A Unified Theory of Matter and Mind	p. 570
Quantum Consciousness	p. 583
Quantum-Like Psychodynamics	p. 592
Quantum Computation and Chaos: Josephson Junctions	p. 606
Josephson Effect and Pendulum Analog	p. 609
Dissipative Josephson Junction	p. 612
Josephson Junction Ladder (JJL)	p. 617
Synchronization in Arrays of Josephson Junctions	p. 626
References	p. 639
Index	p. 675
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