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Proceedings Paper

Deterministic chaos in fiber-optical inertial sensors disturbed by temperature
Author(s): Victor E. Dzhashitov; Vladimir M. Pankratov
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Paper Abstract

A new line of approach in gyroscopic theory is realized--it is the research of temperature disturbed nonlinear gyroscopic systems in view of probable initiation deterministic chaos phenomenon. A new nonlinear mathematical model for thermal drift of one the most of temperature- sensitive inertial sensor, i.e. a fiber-optical gyroscope equipped with a reversal thermocontrol system based on Peltier's thermocouples has been constructed and investigated by analytical and numerical techniques. Deterministic chaos generation in target signal (thermal drift of gyro) was demonstrated to be probable under a combination of system parameters together with external harmonic temperature perturbation. Computer experiments have been carried out, deterministic chaos criteria have been tested with respect to the autocorrelation function forms, power spectrum, Poincare's section, correlation dimension, Kolmogorov's entropy values and universal Feigenbaum's constants. Main possible scenarios for transition from regular behavior of system to deterministic chaos are analyzed, deterministic chaos areas have been built as functions of disturbances and system parameters.

Paper Details

Date Published: 4 March 1999
PDF: 11 pages
Proc. SPIE 3726, Saratov Fall Meeting '98: Light Scattering Technologies for Mechanics, Biomedicine, and Material Science, (4 March 1999); doi: 10.1117/12.341381
Show Author Affiliations
Victor E. Dzhashitov, Institute of Precision Mechanics and Control (Russia)
Vladimir M. Pankratov, Institute of Precision Mechanics and Control (Russia)


Published in SPIE Proceedings Vol. 3726:
Saratov Fall Meeting '98: Light Scattering Technologies for Mechanics, Biomedicine, and Material Science
Valery V. Tuchin; Vladimir P. Ryabukho; Dmitry A. Zimnyakov, Editor(s)

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