Bifurcations and chaos of a two-degree-of-freedom dissipative gyroscope

DOI10.1016/J.CHAOS.2004.07.028zbMath1142.70309OpenAlexW2020555285MaRDI QIDQ1775690

Zheng-Ming Ge, Hsien-Keng Chen

Publication date: 4 May 2005

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2004.07.028

Mathematics Subject Classification ID

Bifurcations and instability for nonlinear problems in mechanics (70K50) Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics (70K55) Motion of a rigid body with a fixed point (70E17)

Related Items (7)

A generalized mathematical model to analyze the nonlinear behavior of a controlled gyroscope in gimbals ⋮ Bifurcation analysis of a magnetically supported rigid rotor in auxiliary bearings ⋮ Chaos control and modified projective synchronization of unknown heavy symmetric chaotic gyroscope systems via Gaussian radial basis adaptive backstepping control ⋮ Chaotic and steady state behaviour of a nonlinear controlled gyro subjected to harmonic disturbances ⋮ Chaos in a generalized van der Pol system and in its fractional order system ⋮ Chaos excited chaos synchronizations of integral and fractional order generalized van der Pol systems ⋮ Synchronization and anti-synchronization coexist in two-degree-of-freedom dissipative gyroscope with nonlinear inputs

Cites Work

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• Determining Lyapunov exponents from a time series
• Applications of centre manifold theory
• Global bifurcations and chaos. Analytical methods
• Controlling chaotic oscillators without feedback
• Anti-control of chaos in rigid body motion
• THE REGULAR AND CHAOTIC MOTIONS OF A SYMMETRIC HEAVY GYROSCOPE WITH HARMONIC EXCITATION
• BIFURCATIONS AND CHAOTIC MOTIONS IN A RATE GYRO WITH A SINUSOIDAL VELOCITY ABOUT THE SPIN AXIS
• Chaotic Motion of a Symmetric Gyro Subjected to a Harmonic Base Excitation
• Deterministic Nonperiodic Flow

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