Deterministic chaos phenomenon in the course of thermal drift of a fiber gyro: integration algorithms effect on computations

Alexey V. Golikov; Victor E. Dzhashitov; Vladimir M. Pankratov

doi:10.1117/12.341427

4 March 1999 Deterministic chaos phenomenon in the course of thermal drift of a fiber gyro: integration algorithms effect on computations

Alexey V. Golikov, Victor E. Dzhashitov, Vladimir M. Pankratov

Author Affiliations +

Proceedings Volume 3726, Saratov Fall Meeting '98: Light Scattering Technologies for Mechanics, Biomedicine, and Material Science; (1999) https://doi.org/10.1117/12.341427
Event: Saratov Fall Meeting '98: Light Scattering Technologies for Mechanics, Biomedicine, and Material Science, 1998, Saratov, Russian Federation

Abstract

We performed comparative analysis of numerical integration algorithms for original non-linear differential equations to elucidate their contribution to deterministic chaos behavior in the two gyro target signal. The analysis was based on the mathematical model of thermal drift for a fiber optical gyro with thermal control system represented by Peltier thermocouple. Feigenbaum universal constants as other deterministic chaos characteristics values were calculated with use of various numerical algorithms.

Citation Download Citation

Alexey V. Golikov, Victor E. Dzhashitov, and Vladimir M. Pankratov "Deterministic chaos phenomenon in the course of thermal drift of a fiber gyro: integration algorithms effect on computations", Proc. SPIE 3726, Saratov Fall Meeting '98: Light Scattering Technologies for Mechanics, Biomedicine, and Material Science, (4 March 1999); https://doi.org/10.1117/12.341427

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