Recurrence analysis of time series generated by 3D autonomous quadratic dynamical system depending on parameters

Recurrence analysis of time series generated by 3D autonomous quadratic dynamical system depending on parameters

For the wide class of 3D autonomous quadratic dynamical systems depending on parameters the sucient conditions of boundedness of solutions of any system from this class are found. A connection between change of one of the parameters and a recurrence plot structure, which was built on the time series...

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Bibliographic Details
Main Authors: V. Ye. Belozyorov, V. G. Zaytsev
Format: Article
Language:English
Published: DNU 2016-03-01
Series:Vìsnik Dnìpropetrovsʹkogo Unìversitetu: Serìâ Modelûvannâ
Subjects:
3D system of autonomous quadratic differential equations
recurrence plot
time series
period doubling bifurcation
limit cycle
chaotic attractor
delay-coordinate embedding technique
threshold
Online Access:http://model-dnu.dp.ua/index.php/SM/article/view/98

Internet

http://model-dnu.dp.ua/index.php/SM/article/view/98

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