Modeling of a Chaotic Gyrostat System and Mechanism Analysis of Dynamics Using Force and Energy

Joint Authors

Qi, Guoyuan
Yang, Xiaogang

Source

Complexity

Issue

Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-13, 13 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2019-07-02

Country of Publication

Egypt

No. of Pages

13

Main Subjects

Philosophy

Abstract EN

Incorporating both viscous friction torque and external torque, a mathematical model of a gyrostat system consisting of three rotors and a fixed outer frame is configured.

This model is transformed into a Kolmogorov-type system for force analysis.

The force field in the gyrostat system includes four different torques—inertial, internal, dissipative, and external.

Correspondingly, four different energies are identified and the interconversion of energies is analyzed.

The Casimir power being equivalent to the error power between the supplied power and the dissipative power is found and used to analyze the mechanism underlying the different dynamical behaviors.

A four-wing chaotic attractor is found when the gyrostat is subject to a combination of inertial, internal, and dissipative torques as well as the addition of an external torque.

The bifurcation of the Casimir power and leaps in Casimir energy level are used as indicators of the different definitive dynamics, which is demonstrated to be identical to that appearing in the state bifurcation and the Lyapunov exponent spectrum.

American Psychological Association (APA)

Qi, Guoyuan& Yang, Xiaogang. 2019. Modeling of a Chaotic Gyrostat System and Mechanism Analysis of Dynamics Using Force and Energy. Complexity،Vol. 2019, no. 2019, pp.1-13.
https://search.emarefa.net/detail/BIM-1132104

Modern Language Association (MLA)

Qi, Guoyuan& Yang, Xiaogang. Modeling of a Chaotic Gyrostat System and Mechanism Analysis of Dynamics Using Force and Energy. Complexity No. 2019 (2019), pp.1-13.
https://search.emarefa.net/detail/BIM-1132104

American Medical Association (AMA)

Qi, Guoyuan& Yang, Xiaogang. Modeling of a Chaotic Gyrostat System and Mechanism Analysis of Dynamics Using Force and Energy. Complexity. 2019. Vol. 2019, no. 2019, pp.1-13.
https://search.emarefa.net/detail/BIM-1132104

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1132104