INTERNATIONALJOURNAL
of
CHAOS THEORY  and  APPLICATIONS
Vol. 2, Issue # 3-4, 1997

 
 


INTERNATIONAL JOURNAL OF CHAOS THEORY AND APPLICATIONS                  Vol. 2, Nr. 3-4  (1997)

 
Regular paper
An Autonomous Periodic Chaos Neural Network
   M. Nakagawa
   Department of Electrical Engineering, Faculty of Engineering, Nagaoka University, Nagaoka, Niigata 940-21, Japan

Abstract. In this paper, we propose a simple chaotic neural network model applied to autonomous chaotic memory searching and the autoassociation. The present artificial neural model is properly characterized in terms of a sinusoidal activation function to involve a chaotic dynamics as well as an autonomous control of the periodicity. It is elucidated that the present neural network has an ability of the dynamic memory retrievals beyond the conventional chaotic model with such a monotonous mapping as a sigmoid function. This advantage is found to result from the nonmonotonous property  of the analogue periodic mapping accompanied with a chaotic behavior of the neurons. It is also found that the present analogue neuron model with the autonomous periodicity control has a remarkably large memory capacity in comparison with the conventional monotonous dynamics.

Keywords: chaos, neuron, periodic mapping, chaotic retrieval, and associative memory

Regular paper
Dynamics of fuzzy systems.
   Y.Friedman and U.Sandler
   Jerusalem College of Technology, Jerusalem, Israel.

Abstract. The dynamics of a system with uncertainty is currently described mostly by methods of statistical physics. Unfortunately, the main knowledge about the behavior of systems in biology, economy, social and political science and in complex information systems is an intuitive expert knowledge. Such information determines good enough the preferability between possible states, but does not describe the probability distribution.
A new way for the description of the dynamic of such systems, based on fuzzy logic, is proposed. It is shown that this dynamics has a Hamiltonian form in the extended state space composed from physical and information components.
Some illustrating and real examples are considered. It is shown that for an example with available experimental data the theory gives good agreement with the data.

Brief paper
Multiple Feedback Canonical State Models of Generalized Chua's Circuit Family
   J. Pospisil, J. Brzohobarty, S. Hanus

Abstract not available

Brief paper
Analysis of Chaotic Movements of Hand Tremor
   Horia-Nicolai Teodorescu, Daniel Mlynek, Ion Ropota, Cornelia Teodorescu, Radu Ciorap
   Swiss Federal Institute of Technology, Lausanne, Switzerland
   Technical University "Gh. Asachi" Iasi, Faculty of Electronics and Communications, Iasi, Romania

Abstract: The nonlinear analysis of tremor movements is considered in terms of  its relevance and possible applications in diagnosis. The analysis is performed for young and mean age subjects, both normal and alcoholic, is presented. The  analysis is performed to reveal possible differences depending on the state of the subject. The work is performed also in view of developing rehabilitation systems for people with abnormal neuromuscular activity.

Keywords: medical application; chaos analysis; arm tremor movement; drug abuse

Brief paper
Fuzzy Logical Analysis of Chaotic Aggregated Alveolar Patterns of the Lung using Scanning Electron Microscopy
   Teruyuki HOJO
   University of Occupational and Environmental Health,  Kitakyushu, Japan

Abstract: Regional fuzzy differences in scanning electron microscopic (SEM) views of chaotic alveolar patterns at the ends of bifurcated respiratory bronchioles of the corrosion cast of the human lung were studied using fuzzy logic. The number of the respiratory bronchioles was about the 23rd  power of 2, and the  number  of  the  alveoli  per an  adult   lung   was  estimated at about  300  million  at  the  ends of  the bronchioles. SEM views revealed the sizes of about 30 aggregated alveoli in the lower lobe. The regional shape differences of the chaotic alveoli were related to nonlinear resistance of the alveolar walls, and inferred using fuzzy logic. The diameters of some alveoli in the outer subregion of a single acinus (=aggregation of alveoli of the end of respiratory duct) were about twice as large as those in the inner. If alveoli are about twice as large as others, then the larger ones may be located in the outer subregion.

Key words: SEM, panoramic three-dimensional view, bifurcating bronchial patterns, chaotic microstructural changes of aggregated alveoli, fuzzy logic, If-Then rule

Bulletin Section

Abstracts not available.

Back to the TOC/Abstracts list page

© Technique & Technologies Press Ltd.