Chaotic attractors in incommensurate fractional order systems
By Mohammad Saleh Tavazoei, Mohammad Haeri. 2008
373 citations recorded by the source corpus.
Subfields: Computer Networks and Communications, Modeling and Simulation, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/fe576e91d97582a33e4e85b28ebc0ea299e6841c
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In Computer Networks and Communications
In Modeling and Simulation
In Statistical and Nonlinear Physics
Citations in the corpus
- Stability of Fractional-Order Systems with Rational Orders (2008, positive): “The fractional order form of such system can be described as [66] D t x1(t) = 35[x2(t)− x1(t)] D t x2(t) = −7x1(t)− x1(t)x3(t) + 28x2(t) D t x3(t) = x1(t)x2(t)− 3x3(t) (54) The system has three equilibrium at (0, 0, 0), (7.”
- Adaptive feedback control and synchronization of non-identical chaotic fractional order systems (2010, background): “Now, according to stability results and the results presented in [43], a necessary condition for fractional Chen system to exhibit chaotic attractors similar to its integer order counterpart is:”
- Analysis of nonlinear dynamics and chaos in a fractional order financial system with time delay (2011, background): “It should be noticed that some authors have proved by numerical simulations that the condition IMFOS ≥ 0 is only a necessary condition and not the sufficient one for the system to show chaos [33].”
- Adaptive fractional-order switching-type control method design for 3D fractional-order nonlinear systems (2015, methodology): “The SMC methodology has been designed for FO chaotic systems in many published results [17–26].”