Analysis of Dynamical and Cognitive Systems: Advanced Course, Stockholm, Sweden, August 9 - 14, 1993. Proceedings

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Springer Science & Business Media, Jan 26, 1995 - Computers - 260 pages
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This volume constitutes the documentation of the advanced course on Analysis of Dynamical and Cognitive Systems, held during the Summer University of Southern Stockholm in Stockholm, Sweden in August 1993.
The volume contains eight carefully revised full versions of the invited three-to-four hour presentations as well as two abstracts. As a consequence of the interdisciplinary topic, several aspects of dynamical and cognitive systems are addressed: there are three papers on computability and undecidability, five tutorials on diverse aspects of universal cellular neural networks, and two presentations on dynamical systems and complexity.

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The Limits of Mathematics Course Outline and Software
Historical Background of Godels Theorem
A Formal Scheme for Avoiding Undecidable Problems Applications to Chaotic Behavior Characterization and Parallel Computation
Cellular Neural Networks A Tutorial on Programmable Nonlinear Dynamics in Space
A Theoretical Vista of Mechanisms Techniques and Applications
Hebbian Unlearning
Mapping Discounted and Undiscounted Markov Decision Problems onto Hopfield Neural Networks
A modelbased and an inductive approach
Simplicity criteria for dynamical systems
Attraction and Composition

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Page 260 - Stability of Fixed Points and Periodic Orbits and Bifurcations in Analog Neural Networks,