The evolution of chaotic dynamics for fractional unified system
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Publication:552563
DOI10.1016/j.physleta.2007.07.049zbMath1217.37026OpenAlexW2033275894MaRDI QIDQ552563
Publication date: 26 July 2011
Published in: Physics Letters. A (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.physleta.2007.07.049
Fractional derivatives and integrals (26A33) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)
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Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Remarks on fractional derivatives
- Chaos in fractional-order autonomous nonlinear systems.
- Chaos in the fractional order Chen system and its control
- Chaos, fractional kinetics, and anomalous transport
- A predictor-corrector approach for the numerical solution of fractional differential equations
- On the generalized Lorenz canonical form
- Fractional dynamics of systems with long-range interaction
- Fractal system as represented by singularity function
- ON A GENERALIZED LORENZ CANONICAL FORM OF CHAOTIC SYSTEMS
- BRIDGE THE GAP BETWEEN THE LORENZ SYSTEM AND THE CHEN SYSTEM
- A NEW CHAOTIC ATTRACTOR COINED
- Some noises withI/fspectrum, a bridge between direct current and white noise
- Burgers equation with a fractional derivative; hereditary effects on nonlinear acoustic waves
- Analysis of fractional differential equations
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