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National Repository of Grey Literature 2 records found  Search took 0.01 seconds. 
Analysis of fractional-order two-dimensional models
 Šustková, Apolena ; Opluštil, Zdeněk (referee) ; Nechvátal, Luděk (advisor)
This bachelor's thesis deals with the analysis of fractional-order two-dimensional models. The analysis itself is preceded by the introduction to the basic issues concerning the integer-order and fractional-order theory. Investigations are carried out for two specific models, Lotka-Volterra model and the Brusselator, the focus is put primarily on stability of the equilibrium points. The results are supported by appropriate phase portraits that were, for the non-integer case, created using the code for numerical solution of fractional differential equations.
Detailed record
Analysis of fractional-order two-dimensional models
 Šustková, Apolena ; Opluštil, Zdeněk (referee) ; Nechvátal, Luděk (advisor)
This bachelor's thesis deals with the analysis of fractional-order two-dimensional models. The analysis itself is preceded by the introduction to the basic issues concerning the integer-order and fractional-order theory. Investigations are carried out for two specific models, Lotka-Volterra model and the Brusselator, the focus is put primarily on stability of the equilibrium points. The results are supported by appropriate phase portraits that were, for the non-integer case, created using the code for numerical solution of fractional differential equations.
Detailed record

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