Robustness and Stability of Limit Cycles in a Class of Planar Dynamical Systems

Soumya Datta

MPRA Paper from University Library of Munich, Germany

Abstract: Using a macroeconomic example, the paper proposes an algorithm to symbolically construct the topological normal form of Andronov-Hopf bifurcation. It also offers a program, using the Computer Algebra System `Maxima', to apply this algorithm. In case the limit cycle turns out to be unstable, the possibilities of the dynamics converging to another limit cycle is explored.

Keywords: Andronov-Hopf bifurcation; Limit cycles (search for similar items in EconPapers)
JEL-codes: C62 C69 (search for similar items in EconPapers)
Date: 2013-02
New Economics Papers: this item is included in nep-cmp and nep-mac
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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https://mpra.ub.uni-muenchen.de/50814/1/MPRA_paper_50814.pdf original version (application/pdf)
https://mpra.ub.uni-muenchen.de/56970/1/MPRA_paper_50814.pdf revised version (application/pdf)
https://mpra.ub.uni-muenchen.de/56970/9/MPRA_paper_56970.pdf revised version (application/pdf)

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