Dynamical behaviors, circuit realization, chaos control, and synchronization of a new fractional order hyperchaotic system
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Publication:2290528
DOI10.1016/j.apm.2015.10.010zbMath1459.34140OpenAlexW2219607061MaRDI QIDQ2290528
H. M. Nour, Ahmed Elsaid, Ahmed M. A. El-Sayed, A. E. Matouk, Amr Elsonbaty
Publication date: 29 January 2020
Published in: Applied Mathematical Modelling (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.apm.2015.10.010
Stabilization of systems by feedback (93D15) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Fractional ordinary differential equations (34A08) Synchronization of solutions to ordinary differential equations (34D06) Chaos control for problems involving ordinary differential equations (34H10)
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Uses Software
Cites Work
- Unnamed Item
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- Unnamed Item
- A novel non-equilibrium fractional-order chaotic system and its complete synchronization by circuit implementation
- Chaos-based cryptography.
- Complete synchronization of chaotic complex nonlinear systems with uncertain parameters
- A new image encryption algorithm based on hyper-chaos
- On the stability of linear systems with fractional-order elements
- Fractional-order nonlinear systems. Modeling, analysis and simulation
- Controlling chaotic and hyperchaotic systems via a simple adaptive feedback controller
- Stability conditions, hyperchaos and control in a novel fractional order hyperchaotic system
- Dynamical behaviors and synchronization in the fractional order hyperchaotic Chen system
- Dynamical behavior, chaos control and synchronization of a memristor-based ADVP circuit
- Robust synchronization of drive-response chaotic systems via adaptive sliding mode control
- Chaos, feedback control and synchronization of a fractional-order modified autonomous Van der Pol-Duffing circuit
- Synchronization of two different uncertain chaotic systems with unknown parameters using a robust adaptive sliding mode controller
- Global linear feedback control for the generalized Lorenz system
- Adaptive synchronization of a hyperchaotic system with uncertain parameter
- Limitations of frequency domain approximation for detecting chaos in fractional order systems
- The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
- Robust synchronization of chaotic systems via adaptive sliding mode control
- Determining Lyapunov exponents from a time series
- Synchronization of chaotic systems via nonlinear control
- Chaos in fractional-order autonomous nonlinear systems.
- Efficient solution of multi-term fractional differential equations using P(EC)\(^m\)E methods
- On nonlinear control design for autonomous chaotic systems of integer and fractional orders
- Global synchronization criterion and adaptive synchronization for new chaotic system
- Robust active sliding mode anti-synchronization of hyperchaotic systems with uncertainties and external disturbances
- On chaos control and synchronization of the commensurate fractional order Liu system
- Robust \(H_\infty\) synchronization of a hyper-chaotic system with disturbance input
- TARGETING AND CONTROL OF SYNCHRONIZATION IN CHAOTIC OSCILLATORS
- Delayed feedback control of fractional-order chaotic systems
- A chaotic attractor from Chua's circuit
- Spread spectrum communication system with chaotic frequency modulation
- Design equations for fractional-order sinusoidal oscillators: Four practical circuit examples
- Fractal system as represented by singularity function
- A NOVEL FAST IMAGE ENCRYPTION SCHEME BASED ON 3D CHAOTIC BAKER MAPS
- Synchronization in chaotic systems
- Linear Feedback Control
- Controlling chaos for the dynamical system of coupled dynamos
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