NOISE, TRAPS, AND SNAGS IN ITERATING SYSTEMS

D. J. Jefferies and J. H. B. Deane
Department of Electronic and Electrical Engineering,
University of Surrey,
Guildford GU2 5XH,
United Kingdom
email ees1dj@ee.surrey.ac.uk

Abstract:

Irregular dynamics of simple chaotic systems containing noise sensitive features are considered. Some results are given on the statistics of the time development of the resulting bursty epochs in the state variable of the system. Crisis-driven intermittency may occur, where the behaviours are almost indistinguishable from those of the noise-sensitive features. Experimental results are presented which illustrate the theoretical studies.

• Introduction
• The mappings
• Features
  • A trap
  • A snag
• Crisis-induced intermittency
• Iterations
• Circuits
• Experiments
• Discussion
• Conclusions
• References
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