Structural Stability of Planar Bimodal Linear Systems
Joint Authors
Susín, Antoni
Peña, Marta
Ferrer, Josep
Source
Mathematical Problems in Engineering
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-12-23
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
Structural stability ensures that the qualitative behavior of a system is preserved under small perturbations.
We study it for planar bimodal linear dynamical systems, that is, systems consisting of two linear dynamics acting on each side of a given hyperplane and assuming continuity along the separating hyperplane.
We describe which one of these systems is structurally stable when (real) spiral does not appear and when it does we give necessary and sufficient conditions concerning finite periodic orbits and saddle connections.
In particular, we study the finite periodic orbits and the homoclinic orbits in the saddle/spiral case.
American Psychological Association (APA)
Ferrer, Josep& Peña, Marta& Susín, Antoni. 2014. Structural Stability of Planar Bimodal Linear Systems. Mathematical Problems in Engineering،Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-1046531
Modern Language Association (MLA)
Ferrer, Josep…[et al.]. Structural Stability of Planar Bimodal Linear Systems. Mathematical Problems in Engineering No. 2014 (2014), pp.1-8.
https://search.emarefa.net/detail/BIM-1046531
American Medical Association (AMA)
Ferrer, Josep& Peña, Marta& Susín, Antoni. Structural Stability of Planar Bimodal Linear Systems. Mathematical Problems in Engineering. 2014. Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-1046531
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1046531