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A proof of Perkoʼs conjectures for the Bogdanov–Takens system.
- Source :
-
Journal of Differential Equations . Nov2013, Vol. 255 Issue 9, p2655-2671. 17p. - Publication Year :
- 2013
-
Abstract
- Abstract: The Bogdanov–Takens system has at most one limit cycle and, in the parameter space, it exists between a Hopf and a saddle-loop bifurcation curves. The aim of this paper is to prove the Perkoʼs conjectures about some analytic properties of the saddle-loop bifurcation curve. Moreover, we provide sharp piecewise algebraic upper and lower bounds for this curve. [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 00220396
- Volume :
- 255
- Issue :
- 9
- Database :
- Academic Search Index
- Journal :
- Journal of Differential Equations
- Publication Type :
- Academic Journal
- Accession number :
- 89694548
- Full Text :
- https://doi.org/10.1016/j.jde.2013.07.006