TRANSFORMING SUBHARMONIC CHAOS TO HOMOCLINIC CHAOS SUITABLE FOR PATTERN RECOGNITION
| Autor: | Oscar De Feo |
|---|---|
| Rok vydání: | 2005 |
| Předmět: |
Control of chaos
business.industry Applied Mathematics Synchronization of chaos Chaotic Pattern recognition Continuation Bifurcation theory Modeling and Simulation Synchronization (computer science) Pattern recognition (psychology) Homoclinic orbit Artificial intelligence business Engineering (miscellaneous) Mathematics |
| Zdroj: | International Journal of Bifurcation and Chaos. 15:3345-3357 |
| ISSN: | 1793-6551 0218-1274 |
| DOI: | 10.1142/s0218127405014106 |
| Popis: | Various forms of chaotic synchronization have been proposed as ways of realizing associative memories and/or pattern recognizers. To exploit this kind of synchronization phenomena in temporal pattern recognition, a chaotic dynamical system representing the class of signals that are to be recognized must be established. As shown recently [De Feo, 2003], this system can be determined by means of identification techniques where chaos emerges by itself to model the diversity of nearly periodic signals. However, the emerging chaotic behavior is subharmonic, i.e. period doubling-like, and therefore, as explained in [De Feo, 2004a, 2004b], it is not suitable for a synchronization-based pattern recognition technique. Nevertheless, as shown here, bifurcation theory and continuation techniques can be combined to modify a subharmonic chaotic system and drive it to homoclinic conditions; obtaining in this way a model suitable for synchronization-based pattern recognition. |
| Databáze: | OpenAIRE |
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