ANALYSIS OF A ROSSLER TYPE DYNAMICAL SYSTEM

Svetoslav G. Nikolov

Scientific paper ID 1951 : 2020/3

ANALYSIS OF A ROSSLER TYPE DYNAMICAL SYSTEM

Svetoslav G. Nikolov1,2

In this paper we investigate a 3D autonomous dissipative nonlinear system of ODEs- Rossler prototype-4 system. The analysis reveals that the system may exhibit the phenomena of Shilnikov chaos. Further, it is shown via analytical calculations that the considered system can be presented in the form of a linear oscillator with one nonlinear automatic regulator. Finally, it is found that for some new combinations of parameters, the system demonstrates chaotic behavior and transition from chaos to regular behavior is realized through inverse period-doubling bifurcations.

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анализ хаос прототип -4 Рьослерова системаanalysis chaos Rossler prototype-4 systemSvetoslav G. Nikolov

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