[PDF][PDF] An analysis of two degenerate double-Hopf bifurcations.
G Moza, M Sterpu, C Rocşoreanu - Electronic Research Archive, 2022 - aimspress.com
G Moza, M Sterpu, C Rocşoreanu
Electronic Research Archive, 2022•aimspress.comThe generic double-Hopf bifurcation is presented in detail in literature in textbooks like
references. In this paper we complete the study of the double-Hopf bifurcation with two
degenerate (or nongeneric) cases. In each case one of the generic conditions is not
satisfied. The normal form and the corresponding bifurcation diagrams in each case are
obtained. New possibilities of behavior which do not appear in the generic case were found.
references. In this paper we complete the study of the double-Hopf bifurcation with two
degenerate (or nongeneric) cases. In each case one of the generic conditions is not
satisfied. The normal form and the corresponding bifurcation diagrams in each case are
obtained. New possibilities of behavior which do not appear in the generic case were found.
Abstract
The generic double-Hopf bifurcation is presented in detail in literature in textbooks like references. In this paper we complete the study of the double-Hopf bifurcation with two degenerate (or nongeneric) cases. In each case one of the generic conditions is not satisfied. The normal form and the corresponding bifurcation diagrams in each case are obtained. New possibilities of behavior which do not appear in the generic case were found.
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