CHAOS AND CHAOS SYNCHRONIZATION OF A SYMMETRIC GYRO WITH LINEAR-PLUS-CUBIC DAMPING

DOI10.1006/jsvi.2001.4186zbMath1237.70094OpenAlexW2063907815MaRDI QIDQ2882174

No author found.

Publication date: 3 May 2012

Published in: Journal of Sound and Vibration (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jsvi.2001.4186

Mathematics Subject Classification ID

Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics (70K55) Control of mechanical systems (70Q05) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Complex behavior and chaotic systems of ordinary differential equations (34C28) Stability theory for ordinary differential equations (34D99) Chaos control for problems involving ordinary differential equations (34H10)

Related Items (56)

Parametric vibrational resonance in a gyroscope driven by dual-frequency forces ⋮ Anti-control of chaos in rigid body motion ⋮ A generalized mathematical model to analyze the nonlinear behavior of a controlled gyroscope in gimbals ⋮ A new Lyapunov approach for global synchronization of non-autonomous chaotic systems ⋮ Chaos control and generalized projective synchronization of heavy symmetric chaotic gyroscope systems via Gaussian radial basis adaptive variable structure control ⋮ Chaos suppression on a class of uncertain nonlinear chaotic systems using an optimal \(H_\infty\) adaptive PID controller ⋮ Global finite-time synchronization of a class of the non-autonomous chaotic systems ⋮ Neural adaptive learning synchronization of second-order uncertain chaotic systems with prescribed performance guarantees ⋮ Chaos synchronization of two chaotic nonlinear gyros using backstepping design ⋮ Strange attractors in dissipative Nambu mechanics: classical and quantum aspects ⋮ Pyragas stabilization of discrete systems with delayed feedback and pulse periodic gain ⋮ Global chaos synchronization of electro-mechanical gyrostat systems via variable substitution control ⋮ Anticontrol of chaos of the fractional order modified Van der Pol systems ⋮ Identification of fractional-order systems with unknown initial values and structure ⋮ Nonlinear dynamics of a nonlinear damping gyroscope and its passive control ⋮ Fuzzy logic embedding of fractional order sliding mode and state feedback controllers for synchronization of uncertain fractional chaotic systems ⋮ An integral control for synchronization of a class of unknown non-autonomous chaotic systems ⋮ Synchronization of two different non-autonomous chaotic systems using fuzzy disturbance observer ⋮ Heteroclinic chaos and its local suppression in attitude dynamics of an asymmetrical dual-spin spacecraft and gyrostat-satellites. I: Main models and solutions ⋮ A modified function-link fuzzy cerebellar model articulation controller using a PI-type learning algorithm for nonlinear system synchronization and control ⋮ Fractional terminal sliding mode control design for a class of dynamical systems with uncertainty ⋮ Synchronization of non-autonomous chaotic systems with time-varying delay via delayed feedback control ⋮ Analysis of generalized projective synchronization for a chaotic gyroscope with a periodic gyroscope ⋮ Robust stabilization and synchronization of a class of fractional-order chaotic systems via a novel fractional sliding mode controller ⋮ Generalized projective chaos synchronization of gyroscope systems subjected to dead-zone nonlinear inputs ⋮ Chaos control and modified projective synchronization of unknown heavy symmetric chaotic gyroscope systems via Gaussian radial basis adaptive backstepping control ⋮ A switching fractional calculus-based controller for normal non-linear dynamical systems ⋮ Nonlinear Oscillations of Nonlinear Damping Gyros: Resonances, Hysteresis and Multistability ⋮ Fractional-order fast terminal sliding mode control for a class of dynamical systems ⋮ Master-slave chaos synchronization using adaptive TSK-type CMAC neural control ⋮ Synchronization of two chaotic nonlinear gyros using active control ⋮ Robust Adaptive Terminal Sliding Mode Synchronized Control for a Class of Non‐Autonomous Chaotic Systems ⋮ Nonlinear rule-based controller for chaos synchronization of two gyros with linear-plus-cubic damping ⋮ Optimal tracking control of nonlinear dynamical systems ⋮ SYNCHRONIZATION OF CHAOTIC GYRO SYSTEMS USING RECURRENT WAVELET CMAC ⋮ Chaos excited chaos synchronizations of integral and fractional order generalized van der Pol systems ⋮ Multi-stability and basin crisis in synchronized parametrically driven oscillators ⋮ Nonlinear generalized synchronization of chaotic systems by pure error dynamics and elaborate nondiagonal Lyapunov function ⋮ Synchronization of chaos in non-identical parametrically excited systems ⋮ Suppression of chaotic behavior in horizontal platform systems based on an adaptive sliding mode control scheme ⋮ External synchronization of two dynamical systems with uncertain parameters ⋮ Unknown nonlinear chaotic gyros synchronization using adaptive fuzzy sliding mode control with unknown dead-zone input ⋮ Generalized synchronization of chaotic systems by pure error dynamics and elaborate Lyapunov function ⋮ Chaos and chaos synchronization for a non-autonomous rotational machine systems ⋮ Synchronization and anti-synchronization coexist in two-degree-of-freedom dissipative gyroscope with nonlinear inputs ⋮ Chaos in the Newton-Leipnik system with fractional order ⋮ Global chaos synchronization of the parametrically excited duffing oscillators by linear state error feedback control ⋮ Synchronization and stabilization of fractional second-order nonlinear complex systems ⋮ Unnamed Item ⋮ Finite-time stabilization of uncertain non-autonomous chaotic gyroscopes with nonlinear inputs ⋮ Adaptive sliding mode control for chaotic synchronization of oscillator with input nonlinearity ⋮ Applications of fuzzy sliding mode control for a gyroscope system ⋮ Generalized Projective Synchronization for the Horizontal Platform Systems via an Integral-type Sliding Mode Control ⋮ Synchronization of a class of chaotic systems with fully unknown parameters using adaptive sliding mode approach ⋮ Adaptive control and synchronization in a class of partially unknown chaotic systems ⋮ Adaptive gain fuzzy sliding mode control for the synchronization of nonlinear chaotic gyros

This page was built for publication: CHAOS AND CHAOS SYNCHRONIZATION OF A SYMMETRIC GYRO WITH LINEAR-PLUS-CUBIC DAMPING