Qualitative Analysis of Dynamic Activity Patterns in Neural Networks
1Center of Computer Science and Engineering, Burgas Free University, 8000 Burgas, Bulgaria
2Mathematical Sciences Department, Faculty of Sciences, United Arab Emirates University, P.O. Box 17551, Al Ain, UAE
3Department of Mathematics, Technical University of Sliven, 8800 Sliven, Bulgaria
Qualitative Analysis of Dynamic Activity Patterns in Neural Networks
Description
Neural networks have been successfully employed in various areas such as pattern recognition, associative memory, and combinatorial optimization. While an artificial neural network has been known insofar for its transient processing behavior, its circuit design has never been disentangled from destabilizing factors such as delays and impulses. In hardware implementation, time delays occur due to finite switching speed of the amplifiers and communication time. Time delays will affect the stability of designed neural networks and may lead to some complex dynamic behaviors such as periodic oscillation, bifurcation, or chaos. Impulses can make unstable systems stable so they have been widely used in many fields such as physics, chemistry, biology, population dynamics, and industrial robotics. The abrupt changes in the voltages produced by faulty circuit elements are exemplary of impulse phenomena that can affect the transient behavior of the network.
We invite investigators to contribute original research articles as well as review articles that will stimulate the continuing efforts to understand the dynamic activity patterns in neural networks. Potential topics include, but not limited to:
- Hopfield neural networks
- Cellular neural networks
- Bidirectional associative memory neural networks
- Lotka-Volterra neural networks
- Neural networks with delays
- Impulsive neural networks
- Stability
- Periodicity
- Almost periodicity
- Control
- Stabilization
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