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Bifurcation diagram of Saddle/Spiral bimodal linear systems

Author
Ferrer, J.; Peña, M.; Susin, A.
Type of activity
Journal article
Journal
International journal of bifurcation and chaos
Date of publication
2017-01-01
Volume
27
Number
1
First page
1
Last page
13
DOI
https://doi.org/10.1142/S0218127417500055 Open in new window
Repository
http://hdl.handle.net/2117/103748 Open in new window
URL
http://www.worldscientific.com/doi/abs/10.1142/S0218127417500055 Open in new window
Abstract
We complete the study of the bifurcations of saddle/spiral bimodal linear systems, depending on the respective traces T and t: one 2-codimensional bifurcation; four kinds of 1-codimensional bifurcations. We stratify the bifurcation set in the (T,t)-plane and we describe the qualitative changes of the dynamical behavior at each bifurcation point.
Citation
Ferrer, J., Peña, M., Susin, A. Bifurcation diagram of Saddle/Spiral bimodal linear systems. "International journal of bifurcation and chaos", 1 Gener 2017, vol. 27, núm. 1, p. 1-13.
Keywords
Piecewise linear system, bifurcation diagram, structural stability, tangency/saddle singularities
Group of research
SCL-EG - Linear Control Systems: a Geometric Approach
ViRVIG - Visualisation, Virtual Reality and Graphic Interaction Research Group

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