Complex dynamics of the fractional-order Rössler system and its tracking synchronization control
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Publication:1723101
DOI10.1155/2018/4019749zbMath1407.34092OpenAlexW2903332500MaRDI QIDQ1723101
Kehui Sun, Huihai Wang, Shaobo He
Publication date: 19 February 2019
Published in: Complexity (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2018/4019749
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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Cites Work
- Synchronization of integer order and fractional order Chua's systems using robust observer
- Adomian decomposition: a tool for solving a system of fractional differential equations
- Synchronization of different fractional order chaotic systems using active control
- Limitations of frequency domain approximation for detecting chaos in fractional order systems
- Fractals and fractional calculus in continuum mechanics
- Convergence of Adomian's method applied to differential equations
- An efficient QR based method for the computation of Lyapunov exponents
- An algorithm for the numerical solution of differential equations of fractional order
- Chaos in fractional-order autonomous nonlinear systems.
- Numerical solutions for systems of fractional differential equations by the decomposition method
- A predictor-corrector approach for the numerical solution of fractional differential equations
- Analytical approximate solutions for nonlinear fractional differential equations
- Chaotic incommensurate fractional order Rössler system: active control and synchronization
- Numerical justification of Leonov conjecture on Lyapunov dimension of Rossler attractor
- An equation for continuous chaos
- Application of Takagi-sugeno fuzzy model to a class of chaotic synchronization and anti-synchronization
- AN APPLICATION OF ADOMIAN DECOMPOSITION FOR ANALYSIS OF FRACTIONAL-ORDER CHAOTIC SYSTEMS
- On the completely integrable case of the Rössler system
- Linear approximation of transfer function with a pole of fractional power
- BIFURCATION AND CHAOS IN THE FRACTIONAL-ORDER CHEN SYSTEM VIA A TIME-DOMAIN APPROACH
- Characteristic Analysis and DSP Realization of Fractional-Order Simplified Lorenz System Based on Adomian Decomposition Method
- A new approach to nonlinear partial differential equations