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Iterated function system as a model of chaos excitation in the electronic system with transmission line

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5 Author(s)
Magda, I.I. ; Nat. Sci. Center, Kharkov Inst. of Phys. & Technol., Ukraine ; Gorban, A.M. ; Paschenko, A.V. ; Shapoval, I.M.
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Results of numerical modeling and experimental research indicate a possibility for radio-electronic device chaotization produced by ultra-short pulse (USP) interference, if the device (for given parameters of the external signal) can be considered as a transmission line (e.g., the device providing delay of a signal) coupled to nonlinear load. It is shown, that an effective model of similar phenomena is generalization of the mapping concept, iterated function system (IFS). Using the procedures developed by authors that rely on the adaptive testing concept (ATC), it is possible to recover the IFS producing the distribution of local Lyapunov exponents (or Jacobians of the mapping which are included in the IFS) to coincide with the distribution of the original experimental time series (TS). The recovered IFS allows to determine the effective current-voltage characteristic for electronic system based on the response TS processing.

Published in:

Electromagnetic Compatibility, 2003. EMC '03. 2003 IEEE International Symposium on  (Volume:2 )

Date of Conference:

11-16 May 2003