Chaos excited chaos synchronizations of integral and fractional order generalized van der Pol systems
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Publication:2470611
DOI10.1016/j.chaos.2006.06.093zbMath1142.37027OpenAlexW1981549422MaRDI QIDQ2470611
Publication date: 14 February 2008
Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.chaos.2006.06.093
Poincaré mapsphase portraitsfractional order systemsgeneralized van der Pol chaotic systemsstate error plots
Nonlinear systems in control theory (93C10) Fractional derivatives and integrals (26A33) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)
Related Items
Numerical scheme and dynamic analysis for variable-order fractional van der Pol model of nonlinear economic cycle, Chaos synchronization in fractional differential systems, Synchronization and stabilization of fractional second-order nonlinear complex systems
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Cites Work
- Anti-control of chaos of single time scale brushless dc motors and chaos synchronization of different order systems
- Dynamical analysis of two coupled parametrically excited van der Pol oscillators
- The effects of continuously varying the fractional differential order of chaotic nonlinear systems
- Anti-synchronization of chaotic oscillators
- On generalized synchronization of spatial chaos.
- A simple global synchronization criterion for coupled chaotic systems.
- Chaos in fractional-order autonomous nonlinear systems.
- On nonlinear control design for autonomous chaotic systems of integer and fractional orders
- Chaos anticontrol and synchronization of three time scales brushless DC motor system
- Chaos in Chen's system with a fractional order
- A secure communication scheme using projective chaos synchronization
- Chaos synchronization and parameter identification for loudspeaker systems
- Stabilization of generalized fractional order chaotic systems using state feedback control
- Control, anticontrol and synchronization of chaos for an autonomous rotational machine system with time-delay
- Chaos synchronization and parameter identification of three time scales brushless DC motor system
- Chaos in the fractional order Chen system and its control
- Chaos synchronization and parameter identification for gyroscope system
- Bifurcations and chaos of a two-degree-of-freedom dissipative gyroscope
- Global chaos synchronization of new chaotic systems via nonlinear control
- Nonlinear dynamics and chaos control for a time delay Duffing system
- Generalized synchronization in chaotic systems
- Global chaos synchronization with channel time-delay
- Anti-control of chaos of two-degrees-of-freedom loudspeaker system and chaos synchronization of different order systems
- Phase synchronization of coupled chaotic multiple time scales systems
- Chaos synchronization and parameters identification of single time scale brushless DC motors
- Synchronization of unidirectional coupled chaotic systems via partial stability
- Chaos control of chaotic limit cycles of real and complex van der Pol oscillators
- Anti-control of chaos in rigid body motion
- The generalized synchronization of a quantum-CNN chaotic oscillator with different order systems
- Hyperchaos in fractional order nonlinear systems
- Synchronization of two different chaotic systems: a new system and each of the dynamical systems Lorenz, Chen and Lü
- Adaptive synchronization of unidirectional and mutual coupled chaotic systems
- On the periodic solutions of a generalized non-linear Van der Pol oscillator
- CHAOS AND CHAOS SYNCHRONIZATION OF A SYMMETRIC GYRO WITH LINEAR-PLUS-CUBIC DAMPING
- ANALYSIS OF NON-LINEAR OSCILLATORS HAVING NON-POLYNOMIAL ELASTIC TERMS
- CHAOS, CHAOS CONTROL AND SYNCHRONIZATION OF ELECTRO-MECHANICAL GYROSTAT SYSTEM
- Non-linear dynamics and control of chaos for a rotational machine with a hexagonal centrifugal governor with a spring
- Investigation of a generalized van der pol oscillator differential equation
- Fractal system as represented by singularity function
- Synchronization in chaotic systems
- Chaos synchronization by using intermittent parametric adaptive control method
