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Gimbal suspension gyro: Stability, bifurcation, and chaos

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Publication:1868369
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DOI10.1023/A:1013095729256zbMath1065.70005OpenAlexW2044411624MaRDI QIDQ1868369

S. A. Agafonov

Publication date: 27 April 2003

Published in: Journal of Dynamical and Control Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1013095729256


zbMATH Keywords

Lyapunov functionforced vibrationMelnikov distance


Mathematics Subject Classification ID

Bifurcations and instability for nonlinear problems in mechanics (70K50) Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics (70K55) Dynamical systems in classical and celestial mechanics (37N05) Motion of the gyroscope (70E05)


Related Items (5)

A generalized mathematical model to analyze the nonlinear behavior of a controlled gyroscope in gimbals ⋮ Global attraction of steady motions of a gimbal-mounted asynchronous gyroscope ⋮ Tuning of a PID controlled gyro by using the bifurcation theory ⋮ Chaotic and steady state behaviour of a nonlinear controlled gyro subjected to harmonic disturbances ⋮ Regular self-oscillating and chaotic behaviour of a PID controlled gimbal suspension gyro







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