Deterministic chaos in fiber-optical inertial sensors disturbed by temperature

Victor E. Dzhashitov; Vladimir M. Pankratov

doi:10.1117/12.341381

4 March 1999 Deterministic chaos in fiber-optical inertial sensors disturbed by temperature

Victor E. Dzhashitov, Vladimir M. Pankratov

Proceedings Volume 3726, Saratov Fall Meeting '98: Light Scattering Technologies for Mechanics, Biomedicine, and Material Science; (1999) https://doi.org/10.1117/12.341381
Event: Saratov Fall Meeting '98: Light Scattering Technologies for Mechanics, Biomedicine, and Material Science, 1998, Saratov, Russian Federation

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.

Citation Download Citation

Victor E. Dzhashitov and Vladimir M. Pankratov "Deterministic chaos in fiber-optical inertial sensors disturbed by temperature", Proc. SPIE 3726, Saratov Fall Meeting '98: Light Scattering Technologies for Mechanics, Biomedicine, and Material Science, (4 March 1999); https://doi.org/10.1117/12.341381

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available