Chaos and chaos synchronization for a non-autonomous rotational machine systems

DOI10.1016/j.nonrwa.2007.03.009zbMath1154.34333OpenAlexW1972982459MaRDI QIDQ1003207

Xian-Feng Li, Ying-Xiang Chang, Yan-Dong Chu, Guan-Wei Luo, Jian-Gang Zhang

Publication date: 27 February 2009

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2007.03.009

zbMATH Keywords

chaosHopf bifurcationLyapunov exponentsperiodic motioncentrifugal governor

Mathematics Subject Classification ID

Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics (70K55) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Complex behavior and chaotic systems of ordinary differential equations (34C28)

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Cites Work

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• Periodic-impact motions and bifurcations of a dual component system
• Determining Lyapunov exponents from a time series
• Controlling and synchronizing chaotic Genesio system via nonlinear feedback control.
• Feedback and adaptive control for the synchronization of Chen system via a single variable
• Sequential synchronization of two Lorenz systems using active control
• The synchronization of chaotic systems
• Chaos control by harmonic excitation with proper random phase
• A novel criterion for delayed feedback control of time-delay chaotic systems
• Adaptive feedback synchronization of Lü system
• Chaos synchronization between two different chaotic systems using active control
• Chaos synchronization and parameter identification for gyroscope system
• Adaptive synchronization of a unified chaotic system with an uncertain parameter
• Synchronization of a unified chaotic system and the application in secure communication
• A general formalism for synchronization in finite dimensional dynamical systems
• Adaptive synchronization of Lü system with uncertain parameters
• Codimension two bifurcations of fixed points in a class of vibratory systems with symmetrical rigid stops
• Adaptive feedback synchronization of a unified chaotic system
• On synchronization of unified chaotic systems via nonlinear control
• Controlling chaos and synchronization for new chaotic system using linear feedback control
• CHAOS AND CHAOS SYNCHRONIZATION OF A SYMMETRIC GYRO WITH LINEAR-PLUS-CUBIC DAMPING
• Master-Slave Synchronization Using Dynamic Output Feedback
• Controlling chaos
• CHAOTIC BEHAVIOR AND SUBHARMONIC BIFURCATIONS FOR A ROTATING PENDULUM EQUATION
• Synchronization in chaotic systems

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