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

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.

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Year of publication:	2013-02
Authors:	Datta, Soumya
Institutions:	Volkswirtschaftliche Fakultät, Ludwig-Maximilians-Universität München
Subject:	Andronov-Hopf bifurcation \| Limit cycles

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Extent:	application/pdf
Series:	MPRA Paper.
Type of publication:	Book / Working Paper
Classification:	C62 - Existence and Stability Conditions of Equilibrium ; C69 - Mathematical Methods and Programming. Other
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10011115474