Identification of multidimensional on input dynamical systems of fractional order with homoscedastic errors-in-variables

10.12737/6355 ◽  
2014 ◽  
Vol 2 (5) ◽  
pp. 105-108
Author(s):  
D. Ivanov ◽  
I. Shirinov
Keyword(s):  
Dynamical Systems ◽  
Fractional Order ◽  
Errors In Variables

On different families of hidden chaotic attractors in fractional order dynamical systems

2018 ◽  
Author(s):  
Samuel Giovanni Hernandez-Orbe ◽  
Jess Manuel Muoz-Pacheco ◽  
German Ardl Munoz-Hernandez ◽  
Ernesto Zambrano-Serrano
Keyword(s):  
Dynamical Systems ◽  
Fractional Order ◽  
Chaotic Attractors

Linear dynamic errors-in-variables models

1986 ◽  
Vol 23 (A) ◽  
pp. 23-39 ◽  
Author(s):  
M. Deistler
Keyword(s):  
Dynamical Systems ◽  
Transfer Functions ◽  
Errors In Variables ◽  
Linear Dynamical Systems ◽  
Linear Dynamic ◽  
Dynamic Errors ◽  
Non Gaussian ◽  
Inputs And Outputs

Linear dynamical systems where both inputs and outputs are contaminated by errors are considered. A characterization of the sets of all observationally equivalent transfer functions is given, the role of the causality assumption is investigated and conditions for identifiability in the case of Gaussian as well as non-Gaussian observations are derived.

scholarly journals Nonexistence of invariant manifolds in fractional-order dynamical systems

2020 ◽  
Vol 102 (4) ◽  
pp. 2417-2431
Author(s):  
Sachin Bhalekar ◽  
Madhuri Patil
Keyword(s):  
Dynamical Systems ◽  
Fractional Order ◽  
Invariant Manifolds

THREE SCHEMES TO SYNCHRONIZE CHAOTIC FRACTIONAL-ORDER RUCKLIDGE SYSTEMS

2007 ◽  
Vol 21 (12) ◽  
pp. 2033-2044 ◽  
Author(s):  
YANBIN ZHANG ◽  
TIANSHOU ZHOU
Keyword(s):  
Dynamical Systems ◽  
Fractional Order ◽  
System Parameter ◽  
Chaotic Synchronization ◽  
Linear Feedback ◽  
Linear Feedback Control ◽  
Synchronization Problem ◽  
Alternate Choice ◽  
Parameter Values ◽  
Fractional Orders

The synchronization problem of chaotic fractional-order Rucklidge systems is studied both theoretically and numerically. Three different synchronization schemes based on the Pecora–Carroll principle, the linear feedback control and the bidirectional coupling are proposed to realize chaotic synchronization. It is shown that such schemes can achieve the same aim for the same set of system parameter values (including fractional orders). This provides an alternate choice for applications of fractional-order dynamical systems in engineering fields.

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