On symbolic dynamics of a chaotic second-order digital filter

✍ Scribed by Zbigniew Galias; Maciej J. Ogorzalek

• Publisher: John Wiley and Sons
• Year: 1992
• Tongue: English
• Weight: 325 KB
• Volume: 20
• Category: Article
• ISSN: 0098-9886
• DOI: 10.1002/cta.4490200406

✦ Synopsis

This paper presents a contribution to the symbolic analysis of fractal patterns exhibited by a second-order digital filter with modular adder overflow characteristic. We use symbolic dynamics for the analysis of phenomena encountered in the system. We present several new results concerning the existence of admissible sequences for periodic orbits in the filter. An efficient computational algorithm based on rigorous mathematical results presented in the paper enabled us to calculate sequences with long periods, thus allowing deeper understanding of the underlying mechanisms of complex behaviour encountered in the filter.