Appearance and disappearance of a dovetail structure in the parameter plane of an n-dimensional map

International Journal of Bifurcation and Chaos in Applied Sciences and Engineering

Volumn 9, Issue 4, 1999, Pages 769-783

  Carcasses J P ^a   Kawakami, H ^b  

^a INSA   (France)

^b UNIVERSITY OF TOKUSHIMA   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0040038396     PISSN: 02181274     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218127499000559     Document Type: Article

References (8)

1. Carcassès, J. P. [1993] "Determination of different configurations of fold and flip bifurcation curves of a one or two-dimensional map," Int. J. Bifurcation and Chaos 3(4), 869-902.
2. Carcassès, J. P. [1995] "Singularities of the parametric plane of an n-dimensional map. Determination of different configurations of fold and flip bifurcation curves," Int. J. Bifurcation and Chaos 5(2), 419-447.
3. Carcassès, J. P. & Kawakami, H. [1999] "Existence of a cusp point on a fold bifurcation curve and stability of the associated fixed point. Case of an n-dimensional map," Int. J. Bifurcation and Chaos 9(5), 199-206.
4. Mira, C. & Kawakami, H. [1992] "Qualitative modifications of the lip bifurcation structure," Proc. ECIT 92, Batschuns, Austria (World Scientific, Singapore), to appear.
5. Mira, C., Kawakami, H. & Allam, R. [1993] "The dovetail bifurcation structure and its qualitative changes," Int. J. Bifurcation and Chaos 3(4), 903-919.
6. Shiraiwa, K. [1977] "A generalisation of the Levinson-Massera's equalities," Nagoya Math. J. 67, 121-138.
7. ème école de printemps d'astrophysique de Coutelas, 24-29 April, 1989, eds. Daniel Benest et Claude Froeschlé Editions Frontières, Gift-sur-Yvette, France.
8. Yoshinaga, T. & Kawakami, H. [1990] "Codimension two bifurcation problems in forced nonlinear circuits," Trans. IEICE E73(6), 817-824.